Language: Russian | English

Anton A. Tolchennikov

Full list of publications: department page and ISTINA profile (IRID 8114030)

← Back to the biography and research page  ·  ISTINA profile

Titles are translated into English, personal names and Russian-language journal titles are transliterated, and venue information is given in English; ISTINA records are linked where available. The list combines the Russian departmental publication list with the ISTINA profile and contains 137 bibliographic records: 65 journal articles, 1 book chapter and collected papers, 1 conference abstract, 70 conference talks.

Journal articles

65 records

  1. 2025 Asymptotic behavior of long waves generated by time-harmonic spatially localized sources in basins with flat shores Dobrokhotov S.Yu., Nazaikinsky V.E., Nosikov I.A., Tolchennikov A.A. In: Computational Mathematics and Mathematical Physics, published by Nauka Publishing House (Moscow), vol. 65, no. 5, pp. 625–640 ISTINA record doi
  2. 2025 Asymptotic Solution of a System of Maxwell Equations with a Time-Harmonic Spatially Localized Electromagnetic Field Source Tolchennikov A.A. In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 118, no. 6, pp. 1340–1343 ISTINA record doi
  3. 2025 Asymptotic solution of the system of Maxwell's equations with a time-harmonic and spatially localized electromagnetic field source Tolchennikov A.A. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 118, no. 6, pp. 963–966 ISTINA record doi
  4. 2025 Asymptotics of Long Waves Generated by Time-Harmonic Spatially Localized Sources in Basins with Gently Sloping Shores Dobrokhotov S.Yu, Nazaikinskii V.E., Nosikov I.A., Tolchennikov A.A. In: Computational Mathematics and Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 65, no. 5, pp. 964–979 ISTINA record doi
  5. 2025 Asymptotics of the counting function of lengths corresponding to classes of equivalent routes for an infinite binary metric tree Vakhitov M.V., Minenkov D.S., Tolchennikov A.A., Chernyshev V.V. In: Discrete Mathematics and Applications, published by Nauka Publishing House (Moscow), vol. 37, no. 4, pp. 3–15 ISTINA record doi
  6. 2025 Global uniform asymptotics in the form of Airy functions for the problem of scattering on a repulsive Coulomb potential and Keplerian trajectories Dobrokhotov S.Yu., Levin S.B., Tolchennikov A.A. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 216, no. 8, pp. 112–128 ISTINA record doi
  7. 2025 Global uniform asymptotics in the form of Airy functions for the problem of scattering on a repulsive Coulomb potential, and Keplerian trajectories Dobrokhotov S.Yu, Levin S.B., Tolchennikov A.A. In: Sbornik: Mathematics, published by London Mathematical Society (United Kingdom), vol. 216, no. 8, pp. 1121–1137 ISTINA record doi
  8. 2025 The Jacobi–Maupertuis principle and Fermat variational principle in the problem of short-wave asymptotics in the solution of the Helmholtz equation with a localized source Dobrokhotov S.Yu, Nosikov I.A., Tolchennikov A.A. In: Computational Mathematics and Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 65, no. 4, pp. 739–753 ISTINA record doi
  9. 2025 The Maupertuis–Jacobi principle and Fermat’s variational principle in the problem of the short-wave asymptotic behavior of the solution to the Helmholtz equation with a localized source Dobrokhotov S.Yu., Nosikov I.A., Tolchennikov A.A. In: Computational Mathematics and Mathematical Physics, published by Nauka Publishing House (Moscow), vol. 65, no. 4, pp. 446–459 ISTINA record doi
  10. 2024 Arnold Lagrangian singularity in the asymptotics of the solution of a model two-dimensional Helmholtz equation with a localized right-hand side Bogaevsky I.A., Dobrokhotov S.Yu, Tolchennikov A.A. In: Theoretical and Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 218, no. 1, pp. 19–40 ISTINA record doi
  11. 2024 Asymptotics of solutions to systems of (pseudo)differential equations with localized right-hand sides Dobrokhotov S.Yu, Klevin A.I., Nazaikinskii V.E., Tolchennikov A.A. In: Journal of Physics: Conference Series, published by IOP Publishing ([Bristol, UK], England), vol. 2817 ISTINA record doi
  12. 2024 Boundary Value Problem of Calculating Ray Characteristics of Ocean Waves Reflected from Coastline Nosikov I.A., Tolchennikov A.A., Klimenko M.V. In: Computational Mathematics and Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 64, no. 3, pp. 497–508 ISTINA record doi
  13. 2024 Boundary value problem on calculating the ray characteristics of ocean waves reflected from the coastline Nosikov I.A., Tolchennikov A.A., Klimenko M.V. In: Computational Mathematics and Mathematical Physics, vol. 64, no. 3, pp. 534–546 ISTINA record doi
  14. 2024 Lagrangian Arnold singularity in the asymptotic behavior of the solution to the model two-dimensional Helmholtz equation with a localized right-hand side Bogaevsky I.A., Dobrokhotov S.Yu., Tolchennikov A.A. In: Theoretical and Mathematical Physics, published by Steklov Mathematical Institute (Moscow), vol. 218, no. 1, pp. 23–47 ISTINA record doi
  15. 2024 Uniform formulas for the asymptotic solution in the vicinity of the leading edge for the Maxwell system with localized initial data and taking into account time dispersion Dobrokhotov S.Yu., Tolchennikov A.A. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 116, no. 3, pp. 388–395 ISTINA record doi
  16. 2024 Uniform formulas for the asymptotic solution near the leading front for Maxwell's equations with temporal dispersion and localized initial data Dobrokhotov S.Yu, Tolchennikov A.A. In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 116, no. 3-4, pp. 458–464 ISTINA record doi
  17. 2023 Keplerian orbits and global asymptotic solution in the form of an Airy function for the scattering problem on a repulsive Coulomb potential Dobrokhotov S.Yu, Levin S.B., Tolchennikov A.A. In: Russian Mathematical Surveys, published by Turpion - Moscow Ltd. (United Kingdom), vol. 78, no. 4, pp. 788–790 ISTINA record doi
  18. 2023 Keplerian trajectories and global asymptotics in the form of the Airy function for the problem of scattering on a repulsive Coulomb potential Dobrokhotov S.Yu., Levin S.B., Tolchennikov A.A. In: Russian Mathematical Surveys, published by Nauka Publishing House (Moscow), vol. 78, no. 4, pp. 205–206 ISTINA record doi
  19. 2023 Trace of the resolvent of the Laplace operator on a metric graph Tolchennikov A.A. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 30, no. 4, pp. 704–712 ISTINA record doi
  20. 2023 Uniformization and Semiclassical Asymptotics for a Class of Equations Degenerating on the Boundary of a Manifold Anikin A.Yu, Dobrokhotov S.Yu, Nazaikinskii V.E., Tolchennikov A.A. In: Journal of Mathematical Sciences, published by Plenum Publishers (United States), vol. 270, no. 4, pp. 507–530 ISTINA record doi
  21. 2023 Uniformization and semiclassical asymptotics for the class of equations degenerating at the boundary of a manifold Anikin A.Yu., Dobrokhotov S.Yu., Nazaikinsky V.E., Tolchennikov A.A. In: Problems of Mathematical Analysis, vol. 122, pp. 5–24 ISTINA record
  22. 2022 A metric graph for which the number of possible end positions of a random walk grows minimally Chernyshev V.L., Tolchennikov A.A. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 29, no. 4, pp. 426–430 ISTINA record doi
  23. 2022 Constructive Implementation of Semiclassical Asymptotic Formulas in a Neighborhood of a Generic Caustic Cusp Nazaikinskii V.E., Tolchennikov A.A. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 29, no. 4, pp. 545–554 ISTINA record doi
  24. 2022 Keplerian trajectories and an asymptotic solution of the Schrödinger equation with repulsive Coulomb potential and a localized right-hand side Dobrokhotov S.Yu, Tolchennikov A.A. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 29, no. 4, pp. 442–452 ISTINA record doi
  25. 2021 Asymptotics of the Number of Endpoints of a Random Walk on a Certain Class of Directed Metric Graphs Chernyshev V.L., Tolchennikov A.A. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 28, no. 4, pp. 434–438 ISTINA record doi
  26. 2021 On the Effect of Intersection of Characteristics in a Two-Dimensional Massless Dirac Equation with Linear Potential and Localized Initial Condition Tolchennikov A.A. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 28, no. 2, pp. 265–269 ISTINA record doi
  27. 2021 On the number of possible final positions of a random walk on a metric graph – a semi-infinite chain Chernyshev V.L., Minenkov D.S., Tolchennikov A.A. In: Theoretical and Mathematical Physics, published by Steklov Mathematical Institute (Moscow), vol. 207, no. 1, pp. 104–111 ISTINA record doi
  28. 2021 The number of endpoints of a random walk on a semi-infinite metric path graph Chernyshev V.L., Minenkov D.S., Tolchennikov A.A. In: Theoretical and Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 207, no. 1, pp. 487–493 ISTINA record doi
  29. 2020 Uniform Formulas for the Asymptotic Solution of a Linear Pseudodifferential Equation Describing Water Waves Generated by a Localized Source Dobrokhotov S.Yu, Nazaikinskii V.E., Tolchennikov A.A. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 27, no. 2, pp. 185–191 ISTINA record doi
  30. 2020 Variational method for calculating ray trajectories and tsunami wave fronts generated by localized sources Dobrokhotov S.Yu., Klimenko M.V., Nosikov I.A., Tolchennikov A.A. In: Computational Mathematics and Mathematical Physics, published by Nauka Publishing House (Moscow), vol. 60, no. 8, pp. 1439–1448 ISTINA record doi
  31. 2020 Variational Method for Computing Ray Trajectories and Fronts of Tsunami Waves Generated by a Localized Source Dobrokhotov S.Yu, Klimenko M.V., Nosikov I.A., Tolchennikov A.A. In: Computational Mathematics and Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 60, no. 8, pp. 1392–1401 ISTINA record doi
  32. 2019 Application of an Asymptotic Solution of the Problem of Linear Wave Propagation on Water to the Approximation of Tsunami Mareograms of 2011 Obtained at Two DART Stations Sekerzh-Zen’kovich S.Ya, Tolchennikov A.A. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 26, no. 1, pp. 70–74 ISTINA record doi
  33. 2019 Asymptotics of the Trace of the Resolvent of the Laplace Operator on a Metric Graph with Arbitrary Boundary Conditions Tolchennikov A.A. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 26, no. 2, pp. 208–218 ISTINA record doi
  34. 2019 Behavior of the Solution of the Klein-Gordon Equation with a Localized Initial Condition Tolchennikov A.A. In: Theoretical and Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 199, no. 2, pp. 761–770 ISTINA record doi
  35. 2019 On the Application of Asymptotic Formulae Based on the Modified Maslov Canonical Operator to the Modeling of Acoustic Pulses Propagation in Three-Dimensional Shallow-Water Waveguides Petrov P.S., Sergeev S.A., Tolchennikov A.A. In: Acoustical Physics, published by Maik Nauka/Interperiodica Publishing (Russian Federation), vol. 65, no. 6, pp. 716–723 ISTINA record doi
  36. 2019 On the behavior of the solution of the Klein–Gordon equation with a localized initial condition Tolchennikov A.A. In: Theoretical and Mathematical Physics, published by Steklov Mathematical Institute (Moscow), vol. 199, no. 2, pp. 330–340 ISTINA record doi
  37. 2019 On the use of asymptotic formulas based on the modified canonical Maslov operator when modeling the propagation of pulsed acoustic signals in three-dimensional waveguides of a shallow sea Petrov P.S., Sergeev S.A., Tolchennikov A.A. In: Acoustical Physics, published by Nauka Publishing House (Moscow), vol. 65, no. 6, pp. 799–807 ISTINA record doi
  38. 2019 Solution of the Two-Dimensional Dirac Equation with a Linear Potential and a Localized Initial Condition, Dobrokhotov S.Yu, Tolchennikov A.A. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 26, no. 2, pp. 139–151 ISTINA record doi
  39. 2018 Asymptotic estimate for the counting problems corresponding to the dynamical system on some decorated graphs Chernyshev V.L., Tolchennikov A.A. In: Ergodic Theory and Dynamical Systems, published by Cambridge University Press (United Kingdom), vol. 38, pp. 1697–1708 ISTINA record doi
  40. 2018 Modeling of Pulse Signals in 3D Propagation Problems of Deep-Water Acoustics Based on the Modified Maslov’s Canonical Operator Petrov P.S., Sergeev S.A., Tolchennikov A.A. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 25, no. 1, pp. 102–112 ISTINA record doi
  41. 2018 Polynomial approximation for the number of all possible endpoints of a random walk on a metric graph Chernyshev V., Tolchennikov A. In: Electronic Notes in Discrete Mathematics, published by Elsevier BV (Netherlands), vol. 70, pp. 31–35 ISTINA record doi
  42. 2018 Simple exact solutions and asymptotic behavior of localized solutions of the two-dimensional massless Dirac equation for graphene Tolchennikov A.A. In: Theoretical and Mathematical Physics, published by Steklov Mathematical Institute (Moscow), vol. 196, no. 1, pp. 64–69 ISTINA record doi
  43. 2018 Simple Exact Solutions and Asymptotic Localized Solutions of the Two-Dimensional Massless Dirac Equation for Graphene Tolchennikov A.A. In: Theoretical and Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 196, no. 1, pp. 996–1001 ISTINA record doi
  44. 2017 Asymptotics of Linear Water Waves Generated by a Localized Source near the Focal Points on the Leading Edge Dobrokhotov S.Yu, Nazaikinskii V.E., Tolchennikov A.A. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 24, no. 4, pp. 544–552 ISTINA record doi
  45. 2017 Correction to the leading term of asymptotics in the problem of counting the number of points moving on a metric tree Chernyshev V.L., Tolchennikov A.A. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 24, no. 3, pp. 290–298 ISTINA record doi
  46. 2017 Exact and Asymptotic Solutions of the Cauchy--Poisson Problem with Localized Initial Conditions and a Constant Function of the Bottom Dobrokhotov S.Yu, Sekerzh-Zen’kovich S.Ya, Tolchennikov A.A. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 24, no. 3, pp. 310–321 ISTINA record doi
  47. 2017 Modeling of acoustic pulse signal propagation in deep sea using the Maslov canonical operator Petrov P.S., Sergeev S.A., Tolchennikov A.A. In: Doklady Mathematics, published by Maik Nauka/Interperiodica Publishing (Russian Federation), vol. 95, no. 2, pp. 181–184 ISTINA record doi
  48. 2017 Modeling the propagation of pulsed acoustic signals in the deep ocean using the canonical Maslov operator Petrov P.S., Sergeev S.A., Tolchennikov A.A. In: Doklady Mathematics, published by Nauka Publishing House (Moscow), vol. 473, no. 2, pp. 142–145 ISTINA record doi
  49. 2017 The Second Term in the Asymptotics for the Number of Points Moving Along a Metric Graph Chernyshev V.L., Tolchennikov A.A. In: Regular and Chaotic Dynamics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 22, no. 8, pp. 940–951 ISTINA record doi
  50. 2017 Uniform asymptotic behavior of the boundary values of the solution to the linear problem of wave incursion onto a flat shore Dobrokhotov Sergey Yurievich, Nazaykinsky Vladimir Evgenievich, Tolchennikov Anton Aleksandrovich In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), no. 5, pp. 700–715 ISTINA record doi
  51. 2017 Uniform asymptotics of the boundary values of the solution in a linear problem on the run-up of waves on a shallow beach Dobrokhotov S.Yu, Nazaikinskii V.E., Tolchennikov A.A. In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 101, no. 5, pp. 802–814 ISTINA record doi
  52. 2016 Asymptotic estimate of the 2011 tsunami source epicenter coordinates based on the mareograms recorded by the South Iwate GPS buoy and the DART 21418 station Il'yasov Kh Kh, Nazaikinskii V.E., Sekerzh-Zen'kovich S.Ya, Tolchennikov A.A. In: Doklady Physics, published by Maik Nauka/Interperiodica Publishing (Russian Federation), vol. 61, no. 7, pp. 335–339 ISTINA record
  53. 2016 Asymptotic estimate of the coordinates of the epicenter of the 2011 tsunami source from mariograms obtained at the South Iwate GPS buoy and at DART station 21418 Ilyasov H.H., Nazaikinsky V.E., Sekerzh-Zenkovich S.Ya., Tolchennikov A.A. In: Doklady Mathematics, published by Nauka Publishing House (Moscow), vol. 469, no. 1, pp. 46–50 ISTINA record doi
  54. 2016 Behavior of quasi-particles on hybrid spaces. Relations to the geometry of geodesics and to the problems of analytic number theory Chernyshev Vsevolod L., Tolchennikov Anton A., Shafarevich Andrei I. In: Regular and Chaotic Dynamics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 21, no. 5, pp. 531–537 ISTINA record doi
  55. 2016 Creation operators in the problem of localized solutions of the linearized shallow water equations with regular and singular characteristics Sergeev S.A., Tolchennikov A.A. In: Mathematical Notes, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 100, no. 6, pp. 852–861 ISTINA record doi
  56. 2016 Localized vortices in a nonlinear shallow water model: examples and numerical experiments Beisel S.A., Tolchennikov A.A. In: Journal of Physics: Conference Series, published by IOP Publishing ([Bristol, UK], England), vol. 722, no. 1 ISTINA record doi
  57. 2016 On creation operators in the problem of localized solutions of linearized shallow water equations with regular and singular characteristics Sergeev S.A., Tolchennikov A.A. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 100, no. 6, pp. 911–922 ISTINA record doi
  58. 2014 Asymptotics of Shallow Water Equations on the Sphere Dobrokhotov S.Yu, Tirozzi B., Tolchennikov A.A. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 21, no. 4, pp. 430–449 ISTINA record doi
  59. 2014 Schrödinger equations on graphs and singular spaces: spectral properties and semiclassical dynamics of localized packets Tolchennikov A.A., Chernyshev V.L., Shafarevich A.I. In: Nanostructures. Mathematical Physics and Modelling, vol. 11, no. 2 ISTINA record
  60. 2012 Number of points moving along a metric graph: dependence on edge permutation Chernyshev V.L., Tolchennikov A.A. In: Science and Education (Bauman Moscow State Technical University) (electronic journal), no. 12 ISTINA record
  61. 2011 Properties of distribution of Gaussian packets on a spatial network Chernyshev V.L., Tolchennikov A.A. In: Science and Education (Bauman Moscow State Technical University) (electronic journal), no. 10 ISTINA record
  62. 2010 Asymptotic properties and classical dynamical systems in quantum problems on singular spaces Tolchennikov A.A., Chernyshev V.L., Shafarevich A.I. In: Nelineinaya Dinamika, published by Izhevsk Institute of Computer Science (Izhevsk), vol. 6, no. 3, pp. 623–638 ISTINA record
  63. 2010 Asymptotic properties of the classical dynamical systems in quantum problems on singular spaces Tolchennikov A.A., Chernyshev V.L., Shafarevich A.I. In: Nelineinaya Dinamika, published by Izhevsk Institute of Computer Science (Izhevsk), vol. 6, no. 3, pp. 623–638 ISTINA record
  64. 2008 Kernel and Trace Formula for the Exponential of the Laplace–Beltrami Operator on a Decorated Graph Tolchennikov A.A. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 15, no. 1, pp. 128–139 ISTINA record
  65. 2008 On the kernel of Laplace–Beltrami operators with zero-radius potential and on a decorated graph Tolchennikov A.A. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 199, no. 7 ISTINA record

Book chapters and collected papers

1 records

  1. 2017 Asymptotic Expansion for the Number of Points Moving along a Metric Tree Chernyshev V.L., Tolchennikov A.A. In: Differential Equations and interdisciplinary research, p. 45-46 ISTINA record

Conference abstracts

1 records

  1. 2023 Asymptotics of the fundamental solution of 2D Helmholtz equation with a linear refractive index and asymptotics of solution of this equation with a localized right hand side Dobrokhotov S.Yu., Bogaevsky I.A., Tolchennikov A.A. In: International conference Days on Diffraction 2023 Abstracts, published in PDMI St. Petersburg, abstracts, p. 23-24 ISTINA record

Conference talks

70 records

  1. 2026 Asymptotic solutions of multidimensional linear (pseudo)differential equations with time-harmonic and spatially-localized sources DobrokhotovS Yu, Nazaikinskii V.E., Tolchennikov A.A. “Analytical and Numerical Methods in Differential Equations (Yanenko 105)” International conference on the occasion of the 105th birthday of Academician Nikolai N. Yanenko. , Suranaree University of Technology Nakhon Ratchasima, Thailand, March 23-27, 2026
  2. 2026 Homogonization and dispersion effects in problems about short-wave asymptotics of the wave equation with an irregularly rapidly oscillating velocity Dobrokhotov S.Yu, Nazaikinskii V.E., Tolchennikov A.A. International Conference Days on Diffraction 2026, St. Petersburg, Branch of the Steklov Mathematical Institute, June 1 – 5, 2026, St. Petersburg, Russia, June 1-5, 2026
  3. 2025 A semi-classical approximation of solution to the two-dimensional Dirac equation with a linear potential and localized initial condition Dobrokhotov S.Yu., Bogaevsky I.A., Tolchennikov A.A. 16th Conference in Spectral Theory and Mathematical Physics, St.Petersburg, Russia, June 23-27, 2025
  4. 2025 Asymptotic solution of Maxwell’s equation with localized right-hand side Tolchennikov A.A. International conference DAYS on DIFFRACTION 2025, St.Petersburg, Russia, June 16-20, 2025
  5. 2025 Asymptotics of long waves in basins with shallow shores generated by spatially localized harmonic in time sources Dobrokhotov S.Yu, Nazaikinskii V.E., Nosikov I.A., Tolchennikov A.A. International conference DAYS on DIFFRACTION 2025, St.Petersburg, Russia, June 16-20, 2025
  6. 2025 Long waves in basins with gently sloping shores generated by time-harmonic, spatially localized sources Dobrokhotov S.Yu., Nazaikinsky V.E., Nosikov I.A., Tolchennikov A.A. XXXIV Scientific session of the RAS Council on nonlinear dynamics, Moscow, Russia, December 15-16, 2025
  7. 2025 Nonlinear long waves in basins with gently sloping shores generated by time-harmonic, spatially localized sources Dobrokhotov S.Yu., Nazaikinsky V.E., Nosikov I.A., Tolchennikov A.A. Conference by I. G. Petrovsky (25th session). Differential Equations and related issues, Moscow, Moscow State University named after M.V. Lomonosov, Russia, May 19-24, 2025
  8. 2025 Semi-Global Uniform Asymptotics of Wave Fields with Cusp Caustics via the Pearcey Function and Its Derivatives Dobrokhotov S.Yu, Nazaikinskii V.E., Suleimanov B.S., Tolchennikov A.A. International conference “Theory of functions and its applications”, dedicated to the 120th anniversary of the birth of RAS academician Sergei Mikhailovich Nikolsky, Moscow, MIPT, Russia, July 1 - August 5, 2025
  9. 2025 Uniform asymptotic behavior of solutions of the one-dimensional Schrödinger equation associated with the Pearcy function Dobrokhotov S.Yu., Nazaikinsky V.E., Tolchennikov A.A. Asymptotic methods in mathematical physics 2025, Moscow, Russia, June 17, 2025
  10. 2024 Asymptotic solution of Maxwell's equation with localized right-hand side Tolchennikov A.A. All-Russian conference "Asymptotic methods in mathematical physics", dedicated to the memory of V.P. Maslov, Moscow, Institute of Problems of Mechanics. A.Yu. Ishlinsky, Faculty of Physics, Moscow State University. M.V. Lomonosov, Russia, June 17-19, 2024
  11. 2024 Asymptotics of the solution to the Cauchy problem for the two-dimensional Dirac equation with a linear potential and a localized initial condition Bogaevsky I.A., Tolchennikov A.A. International Conference on Differential Equations and Dynamical Systems, Suzdal, Russia, June 28 - July 4, 2024
  12. 2024 Keplerian trajectories and effective asymp totic solutions of the Schrödinger equation with a Coulomb potential Tolchennikov A.A. Dynamics in Siberia 2024, The Sobolev Institute of Mathematics of the Russian Academy of Sciences, Russia, February 26 - March 2, 2024
  13. 2024 Trace of the resolvent of the Laplace operator on a metric graph Tolchennikov A.A. IV Conference of Russian Mathematical Centers, dedicated to the 300th anniversary of St. Petersburg State University and the Russian Academy of Sciences, St. Petersburg, Russia, August 6-11, 2024
  14. 2023 Arnold's Legendre singularity in the solution of the model Helmholtz equation with a localized right-hand side Tolchennikov A.A. II ALL-RUSSIAN SCIENTIFIC AND PRACTICAL CONFERENCE “MATHEMATICS in THE MODERN WORLD”, dedicated to the 160th anniversary of the birth of the outstanding Russian mathematician D.A. Grave, Vologda, Russia, September 19-23, 2023
  15. 2023 Asymptotic of solution of the Helmholtz equation with a linear refractive index, in which the conical Arnold’s singularity of rays family appears Tolchennikov A.A. All-Russian conference with international participation Semiclassical analysis and nonlocal elliptic problems, Moscow, Russia, October 17-20, 2023
  16. 2023 Asymptotic of solution of the Helmholtz equation with a linear refractive index, in which the conical Arnold’s singularity of rays family appears Tolchennikov A.A. 14th Conference in Spectral Theory and Mathematical Physics, dedicated to the memory of M.Sh. Birman, Russia, June 19-23, 2023
  17. 2023 Asymptotics of the fundamental solution of 2D Helmholtz equation with a linear refractive index and asymptotics of solution of this equation with a localized right hand side Bogaevsky I.A., Dobrokhotov S.Yu., Tolchennikov A.A. Days on Diffraction 2023, St. Petersburg, Russia, June 5-9, 2023
  18. 2022 Global asymptotics of the solution to the scattering problem for the Schrödinger equation with a repulsive Coulomb potential and Keplerian trajectories Dobrokhotov S.Yu., Levin S.B., Tolchennikov A.A. "Current problems of mathematical physics", dedicated to the memory of Valentin Fedorovich Butuzov, Lomonosov Moscow State University, Russia, June 2, 2022
  19. 2022 Keplerian trajectories and effective asymptotics of some solutions of the Schrodinger equation with a repulsive Coulomb potential Dobrokhotov S.Yu, Levin S.B., Tolchennikov A.A. New Trends in Mathematical Physics, Moscow, Russia, November 7-12, 2022
  20. 2022 Keplerian trajectories and simple global Airy-type asymptotic solution of the scattering problem for the Schrödinger equation with a repulsive Coulomb potential Dobrokhotov S., Levin S., Tolchennikov A. International conference “Kvant integrability and geometry”, dedicated to the 60th anniversary of N. A. Slavnov and L. O. Chekhov, conference hall Steklov Mathematical Institute, Russia, June 1-4, 2022
  21. 2022 Lagrangian manifolds from Kepler trajectories and global asymptotics in the form of the Airy function for the scattering problem on the repulsive Coulomb potential Dobrokhotov S., Levin S., Tolchennikov A. Saint-Petersburg Conference in Spectral Theory and Mathematical Physics, dedicated to the memory of M.Sh. Birman, St. Petersburg, Russia, June 22-26, 2022
  22. 2022 Massless Dirac equation with a linear potential and localized r.h.s Tolchennikov A.A. International Conference on Differential Equations and Dynamical Systems 2022, Suzdal, Russia, June 30 - July 5, 2022
  23. 2022 Solution of the two-dimensional massless Dirac equation with a linear potential and localized right hand side Tolchennikov A.A. Saint-Petersburg Conference in Spectral Theory and Mathematical Physics, dedicated to the memory of M.Sh. Birman, St. Petersburg, Russia, June 22-26, 2022
  24. 2022 Solution of the two-dimensional massless Dirac equation with a linear potential and localized right hand side Tolchennikov A.A. Days on Diffraction 2022, St. Petersburg, POMI RAS, Russia, May 30 - June 3, 2022
  25. 2022 Solution of the two-dimensional massless Dirac equation with linear potential and localized right-hand side Tolchennikov A.A. Second Conference of Russian Mathematical Centers, Moscow, Russia, November 7–11, 2022, Russia, November 7–11, 2022
  26. 2021 Application of an asymptotic approach to calculating ocean waves using the example of the 2011 Tohoku tsunami Beyzel S.A., Dobrokhotov S.Yu., Nazaikinsky V.E., Nosikov I.A., Tolchennikov A.A. III All-Russian scientific conference “TSUNAMI WAVES: MODELING, MONITORING, FORECAST”, November 16-17, 2021, Moscow, Russia, November 16-17, 2021
  27. 2021 Calculation of wave fields by ray method and variational method of finding rays Nazaikinskii V.E., Nosikov I.A., Tolchennikov A.A. 3rd International Conference on Integrated Systems & Nonlinear Dynamics, Yaroslavl, G. Demidov Yaroslavl State University, Russia, October 4-8, 2021
  28. 2021 Construction of asymptotic mareograms of DART stations in Mathematica using the example of the 2011 Tohoku tsunami Tolchennikov A.A. 64th All-Russian Scientific Conference MIPT, Moscow, Russia, November 23 - December 3, 2021
  29. 2021 Constructive uniform asymptotics of linear water waves generated by localized sources Dobrokhotov S.Yu, Nazaikinskii V.E., Tolchennikov A.A. Analytical and Numerical Methods in Differential Equations (ANMDE 2021 and Yanenko 100), Suranaree, Thailand, August 23-27, 2021
  30. 2021 On the effect of intersection of characteristics in a two-dimensional massless Dirac equation with linear potential and localized initial data Tolchennikov A.A. International Online Workshop Semiclassical asymptotics and nonlocal elliptic problems (RUDN University October 20-22, 2021), Moscow, Moscow, Russia, October 20-22, 2021
  31. 2021 On the effect of intersection of characteristics in a two-dimensional massless Dirac equation with linear potential and localized initial data Tolchennikov A.A. Diffraction Days 2021, St. Petersburg, Russia, May 31 - June 4, 2021
  32. 2021 On the effect of intersection of characteristics in a two-dimensional massless Dirac equation with linear potential and localized initial data Tolchennikov A.A. Diffraction Days 2021, St. Petersburg, Russia, May 31 - June 4, 2021
  33. 2021 Uniform formulas for the asymptotic solution of a linear pseudodifferential equation for water waves generated by a localized source Tolchennikov A.A. Physical and mathematical modeling of processes in geological media: Seventh International Scientific Conference-School of Young Scientists, Moscow, Russia, October 20-23, 2021
  34. 2020 Analytical-numerical variational trajectory method for calculating long waves generated by localized sources Dobrokhotov S.Yu., Nosikov I.A., Klimenko M.V., Tolchennikov A.A. II All-Russian scientific conference with international participation “TSUNAMI WAVES: MODELING, MONITORING, FORECAST”, Moscow, Russia, November 16-17, 2020
  35. 2020 Explicit uniform asymptotics for linear waves on water with weak and strong dispersions Dobrokhotov S.Yu., Nazaikinsky V.E., Tolchennikov A.A. II All-Russian scientific conference with international participation “TSUNAMI WAVES: MODELING, MONITORING, FORECAST”, Moscow, Russia, November 16-17, 2020
  36. 2020 Solution of the two-dimensional Dirac equation with a linear potential and a localized initial condition Tolchennikov A.A. International Conference Diffraction Days 2020, St. Petersburg, Russia, May 25-29, 2020
  37. 2020 Solution of the Two-Dimensional Dirac Equation with a Linear Potential and a Localized Initial Condition Tolchennikov A.A. Special functions and semi-classical approximation, Luminy, France, February 4-6, 2020
  38. 2020 Solution of the two-dimensional Dirac equation with linear potential and localized initial condition Tolchennikov A.A. 63rd All-Russian Scientific Conference MIPT, MIPT, Russia, November 23 - December 3, 2020
  39. 2019 Modeling the propagation of pulsed acoustic signals in three-dimensional shallow sea waveguides using the canonical Maslov operator Tolchennikov A.A., Sergeev S.A., Petrov P.S. 5th International Scientific Conference-School of Young Scientists “Physical and Mathematical Modeling of Processes in Geomedia”. Moscow, Institute of Mechanics and Mechanics RAS October 23-25, 2019, Moscow, Russia, October 23-25, 2019
  40. 2019 On the simulation of pulse acoustic signals in the shallow water with slope of the bottom Sergeev S.A., Tolchennikov A.A., Petrov P.S. Days on Diffraction 2019, St. Petersburg Department of the Mathematical Institute named after V.A. Steklov RAS emb. r. Fontanki 27, St. Petersburg, 191023, Russia, June 3-7, 2019
  41. 2019 Trace of the resolvent of the Laplace operator on a metric graph Tolchennikov A.A. 62nd All-Russian Scientific Conference MIPT, Moscow, Dolgoprudny, Zhukovsky, Russia, November 18-24, 2019
  42. 2018 A fast analytical-numerical algorithm for calculating time histories of tsunami waves and its implementation in Mathematica Tolchennikov A.A. 9th International Conference – School of Young Scientists “Waves and Vortexes in Complex Media”, December 5–7, 2018, Moscow. Institute of Problems of Mechanics named after A.Yu. Ishlinsky, Russia, December 5-7, 2018
  43. 2018 Asymptotic behavior of the solution to the Klein–Gordon equation with localized and rapidly oscillating initial conditions Tolchennikov A.A. International Conference on Differential Equations and Dynamical Systems 2018, Suzdal, Russia, July 6-11, 2018
  44. 2018 Asymptotics in problems of the run-up of long waves generated by localized sources to the shore Tolchennikov A.A., Minenkov D.S., Nazaikinsky V.E., Dobrokhotov S.Yu., Anikin A.Yu. Turbulence, atmospheric and climate dynamics. 100th anniversary of the birth of A.M. Obukhova, Moscow, Russia, May 16-18, 2018
  45. 2018 Asymptotics of the solution of the Klein–Gordon equation with localized initial conditions Tolchennikov A.A. International Conference on Partial Differential Equations and Applications in Memory of Professor B.Yu. Sternin, Moscow, Russia, November 6-9, 2018/ , Moscow, Russia, November 6-9, 2018
  46. 2018 Calculation of time series of pulsed acoustic signals in a shallow sea with a permeable bottom within the framework of ray theory Petrov P.S., Sergeev S.A., Tolchennikov A.A. XVI school-seminar named after acad. L.M. Brekhovskikh “Ocean Acoustics”, combined with the XXXI session of the Russian Acoustical Society, Moscow, Russia, May 29 - June 1, 2018
  47. 2018 Comparison of tsunami heights calculated by asymptotic formulas with known numerical results for the transoceanic tsunami propagation Tolchennikov A.A., Sekerzh-Zen’kovich S.Y. 7th International conference "The Problems of Mathematical Physics and Mathematical Modelling" (Moscow, Russia, June 25-27), Moscow, NRNU MEPhI, Russia, June 25-27, 2018
  48. 2018 Maslov’s canonical operator in the problem of acoustic pulse signal propagation in a shallow sea with penetrable bottom Petrov P.S., Tolchennikov A.A., Sergeev S.A. Days on Diffraction 2018, St. Petersburg, Russia, June 4-8, 2018
  49. 2018 Modeling a pulsed acoustic signal in a shallow sea using Maslov's canonical operator Tolchennikov A.A., Sergeev S.A., Petrov P.S. 61st All-Russian Scientific Conference MIPT, Dolgoprudny, Russia, November 19-25, 2018
  50. 2018 Propagation of pulsed acoustic signals in a three-dimensional wedge Sergeev S.A., Petrov P.S., Tolchennikov A.A. 61st All-Russian Scientific Conference MIPT, Dolgoprudny, Russia, November 19-25, 2018
  51. 2018 Simulation of the propagation of acoustic pulse signal propagation in a shallow sea with penetrable bottom with the Maslov’s canonical operator Petrov P.S., Tolchennikov A.A., Sergeev S.A. 7th International conference "The Problems of Mathematical Physics and Mathematical Modelling" (Moscow, Russia, June 25-27), Moscow, NRNU MEPhI, Russia, June 25-27, 2018
  52. 2018 Some applications of asymptotic solutions of Boussinesq type equations for the approximation of 2011 tsunami mareograms from DART stations Tolchennikov A.A., Sekerzh-Zen’kovich S.Ya International Conference on Partial Differential Equations and Applications in Memory of Professor B.Yu. Sternin, Moscow, Russia, November 6-9, 2018/ , Moscow, Russia, November 6-9, 2018
  53. 2018 The fast analytic-numerical algorithm for calculating Tsunami waves and its implementation in mathematica Tolchennikov A.A. Physical and mathematical modeling of processes in geological media: Fourth International Scientific School of Young Scientists, Moscow, Institute of Mechanics and Mechanics RAS, Russia, October 24-26, 2018
  54. 2017 Asymptotic expansion for the number of points moving along a metric tree Chernyshev V., Tolchennikov A. Critical and Collective Phenomena in Graphs and Networks, Russia, May 15-19, 2017
  55. 2017 Asymptotic solution in the vicinity of focal points for linear equations of water waves with a localized initial condition Dobrokhotov S.Yu., Tolchennikov A.A. Modern problems of continuum mechanics and explosion physics, Novosibirsk, Russia, September 4-8, 2017
  56. 2017 Asymptotic solutions of the linear water waves problems with localized initial data Tolchennikov A.A., Nazaikinsky V.E., Dobrokhotov S.Yu. 6th international conference "The problems of mathematical physics and mathematical modeling", National Research Nuclear University MEPhI, Russia, May 25-27, 2017
  57. 2017 Effective asymptotics in problems of propagation and run-up to the shore of long waves in the ocean generated by spatially localized sources Tolchennikov A.A., Sekerzh-Zenkovich S.Ya., Nazaikinsky V.E., Minenkov D.S., Dobrokhotov S.Yu. Current problems of geophysical hydrodynamics, Moscow, Russia, November 23, 2017
  58. 2017 Modeling the propagation of pulsed acoustic signals in a three-dimensional deep ocean using the canonical Maslov operator at focal and regular points Petrov P.S., Tolchennikov A.A., Sergeev S.A. XVI All-Russian school-seminar "Physics and application of microwaves" named after Professor A.pp. Sukhorukova ("Waves-2017"), Krasnovidovo, Moscow region, Russia, June 4-9, 2017
  59. 2017 Nonstandart Lagrangian singularities and the head edge waves with the focal points in the linear water water theory Tolchennikov A.A. Rapidly varying asymptotics in stationary and nonstationary problems of mathematical physics, Independent University, Russia, September 11-13, 2017
  60. 2017 Polynomial approximation to the number of points moving along a metric graph Chernyshev V.L., Tolchennikov A.A. 60th scientific conference MIPT, Moscow, Dolgoprudny, Zhukovsky, Russia, November 20-26, 2017
  61. 2017 Simulation of propagation for acoustics signals in the deep ocean with Maslov's canonical operator Petrov P.S., Tolchennikov A.A., Sergeev S.A. Days on Diffraction 2017, St. Petersburg, Russia, June 19-23, 2017
  62. 2017 Uniform asymptotics of boundary values of the solution of a linear problem on the run-up of waves on a shallow beach Tolchennikov A.A., Nazaikinskii V.E., Dobrokhotov S.Yu Days on Diffraction 2017, St. Petersburg, Russia, June 19-23, 2017
  63. 2016 Localized vortices in a nonlinear shallow water model: examples and numerical experiments Beyzel S.A., Tolchennikov A.A. All-Russian conference dedicated to the 70th anniversary of the birth of corresponding member. RAS V.M. Teshukova ‘’Nonlinear waves: theory and new applications’’, Novosibirsk, Russia, February 29 - March 2, 2016
  64. 2016 Modeling the propagation of pulsed acoustic signals in the deep ocean using the canonical Maslov operator Petrov P.S., Sergeev S.A., Tolchennikov A.A. 59th All-Russian Scientific Conference of MIPT with international participation. - November 21–26, 2016. - G. Dolgoprudny, Dolgoprudny, Russia, November 21 - December 26, 2016
  65. 2016 On creation operators in the problem of localized solutions of a linearized system of shallow water equations Sergeev S.A., Tolchennikov A.A. International Conference on Differential Equations and Dynamical Systems, Suzdal, Russia, July 8-12, 2016
  66. 2015 Estimation of the source of the 2011 tsunami based on mariograms obtained at recording stations Tolchennikov A.A. 58th scientific conference MIPT, Moscow, Russia, November 23-28, 2015
  67. 2015 Localized vortex solutions of linear and nonlinear shallow water equations Tolchennikov A.A. Days on Diffraction 2015, St. Petersburg, Russia, May 25-29, 2015
  68. 2014 Asymptotic behavior of the solution to a linearized shallow water system on a sphere with a localized initial condition Tolchennikov A.A. 57th scientific conference MIPT, Moscow, 2014
  69. 2014 Asymptotic behavior of the solution to a linearized shallow water system on a sphere with a localized initial condition Tolchennikov A.A., Dobrokhotov S.Yu. International scientific school of young scientists “Waves and vortices in complex media”, Moscow, Institute of Mechanics and Mechanics RAS, 2014
  70. 2014 Asymptotic solution of linearized shallow water equations on the sphere with localized initial data Tolchennikov A.A., Dobrokhotov S.Yu. Diffraction Days, St. Petersburg, 2014