Kudryashov N.A.

Kudryashov Nikolay A.

Degree: Doctor of Sciences in Physics and Mathematics

Head of Department

Department of applied mathematics (31, Кафедра прикладной математики № 31 института лазерных и плазменных технологий НИЯУ МИФИ)

Chief Research Fellow

Department of applied mathematics (31, Кафедра прикладной математики № 31 института лазерных и плазменных технологий НИЯУ МИФИ)
Works at MEPhI since 1974
Work Experience: 49 years

Education

1974 — National Research Nuclear University MEPhI

Courses

1. Analytical properties of nonlinear differential equations
2. Educational practice: design and technology
3. Nonlinear Mathematical Models
4. Practical Training (Research Work)
5. Scientific Seminar

Publication activity

43
h-index (Web of Science)
51
h-index (Scopus)
50
h-index (РИНЦ)

Showing publications for last 3 years

  1. Article
    Web of Science & Scopus
    Exact solutions and conservation laws of the fourth-order nonlinear Schrodinger equation for the embedded solitons // Optik, 2024 Vol. 303 doi
  2. Article
    Web of Science & Scopus
    Application of Machine Learning to Construct Solitons of Generalized Nonlinear Schrodinger Equation // Studies in Computational Intelligence, 2024 Vol. 1130 LNCS pp. 759-766 doi
  3. Article
    Web of Science & Scopus
    Exploring the Efficiency of Neural Networks for Solving Dynamic Process Problems: The Fisher Equation Investigation // Studies in Computational Intelligence, 2024 Vol. 1130 LNCS pp. 504-511 doi
  4. Article
    Web of Science & Scopus
    Properties of the generalized Chavy-Waddy–Kolokolnikov model for description of bacterial colonies // Communications in Nonlinear Science and Numerical Simulation, 2024 Vol. 128, TOPMEPHI doi
  5. Article
    Web of Science & Scopus
    Numerical study of the model described by the fourth order generalized nonlinear Schrodinger equation with cubic-quintic-septic-nonic nonlinearity // Journal of Computational and Applied Mathematics, 2024 Q1 doi
  6. Article
    Web of Science & Scopus
    On Features of Formation of Localized Shear Bands in Depleted Uranium // Physics of Atomic Nuclei, 2023 Vol. 86, No. 10 pp. 2241-2250 doi
  7. Article
    Web of Science & Scopus
    On Specific Features of an Approach Based on Feedforward Neural Networks to Solve Problems Based on Differential Equations // Physics of Atomic Nuclei, 2023 Vol. 86, No. 10 pp. 2231-2240 doi
  8. Article
    Web of Science & Scopus
    Optical solitons for the concatenation model: Power-law nonlinearity // Chaos, Solitons and Fractals, 2023 Vol. 177, TOP10 doi
  9. Article
    Web of Science & Scopus
    Bifurcations of Phase Portraits, Exact Solutions and Conservation Laws of the Generalized Gerdjikov–Ivanov Model // Mathematics, 2023 Vol. 11, No. 23, Q1 doi
  10. Article
    Web of Science & Scopus
    Strain Rate Hardening at Adiabatic Shear Bands Formation // AIP Conference Proceedings, 2023 Vol. 2849, No. 1, Q4 doi
  11. Article
    Web of Science & Scopus
    Properties of Roots to the Generalized Hermite Polynomials // AIP Conference Proceedings, 2023 Vol. 2849, No. 1, Q4 doi
  12. Article
    Web of Science & Scopus
    Automation of Processes Related to the Modeling of Equilibrium Configurations of Point Vortices // AIP Conference Proceedings, 2023 Vol. 2849, No. 1, Q4 doi
  13. Article
    Web of Science & Scopus
    Solitary waves of the complex Ginzburg-Landau equation with anti-cubic nonlinearity // Physics Letters, Section A: General, Atomic and Solid State Physics, 2023 Vol. 490, Q2 doi
  14. Article
    Web of Science & Scopus
    Analytical solutions of the generalized Kaup–Newell equation // Optik, 2023 Vol. 293, Q2 doi
  15. Article
    Web of Science & Scopus
    Painleve Test, Phase Plane Analysis and Analytical Solutions of the Chavy-Waddy-Kolokolnikov Model for the Description of Bacterial Colonies // Mathematics, 2023 Vol. 11, No. 14, TOP10 doi
  16. Article
    Web of Science & Scopus
    Conservation laws and Hamiltonians of the mathematical model with unrestricted dispersion and polynomial nonlinearity // Chaos, Solitons and Fractals, 2023 Vol. 175, TOP10 doi
  17. Article
    Web of Science & Scopus
    Suppression of chaos in the periodically perturbed generalized complex Ginzburg–Landau equation by means of parametric excitation // Optical and Quantum Electronics, 2023 Vol. 55, No. 10, Q2 doi
  18. Article
    Web of Science & Scopus
    Conservation laws of the complex Ginzburg-Landau equation // Physics Letters, Section A: General, Atomic and Solid State Physics, 2023 Vol. 481, Q2 doi
  19. Article
    Web of Science & Scopus
    Numerical studies of self-organization of shear bands in one and two dimensions // Communications in Nonlinear Science and Numerical Simulation, 2023 Vol. 125, TOPMEPHI doi
  20. RSCI CONSERVATION LAWS OF THE MATHEMATICAL MODEL WITH UNRESTRICTED DISPERSION AND POLYNOMIAL NONLINEARITYCONSERVATION LAWS OF THE MATHEMATICAL MODEL WITH UNRESTRICTED DISPERSION AND POLYNOMIAL NONLINEARITY // 2023 pp. 131
  21. RSCI NUMERICAL SIMULATION OF PLASTIC FLOW LOCALIZATION IN STEEL, ALUMINIUM AND DEPLETED URANIUMNUMERICAL SIMULATION OF PLASTIC FLOW LOCALIZATION IN STEEL, ALUMINIUM AND DEPLETED URANIUM // 2023 pp. 146
  22. RSCI EXACTANDNUMERICALSOLUTIONSOFTHEMODEL DESCRIBED BY THE FOURTH ORDER GENERALIZED NONLINEAR SHRÖDINGER EQUATION WITH CUBIC-QUINTIC-SEPTIC-NONIC FORM OF NONLINEARITYEXACTANDNUMERICALSOLUTIONSOFTHEMODEL DESCRIBED BY THE FOURTH ORDER GENERALIZED NONLINEAR SHRÖDINGER EQUATION WITH CUBIC-QUINTIC-SEPTIC-NONIC FORM OF NONLINEARITY // 2023 pp. 106
  23. RSCI NUMERICAL SOLUTION OF THE PROBLEM, DESCRIBED BY GENERALIZED NONLINEAR SHCRODINGER EQUATION WITH PERTURBED INITIAL CONDITIONSNUMERICAL SOLUTION OF THE PROBLEM, DESCRIBED BY GENERALIZED NONLINEAR SHCRODINGER EQUATION WITH PERTURBED INITIAL CONDITIONS // 2023 pp. 114
  24. RSCI ANALYTICAL SOLUTION OF THE GENERALIZEDNONLINEAR SCHRÖDINGER EQUATION EXPRESSED VIA LAMBERT FUNCTIONANALYTICAL SOLUTION OF THE GENERALIZEDNONLINEAR SCHRÖDINGER EQUATION EXPRESSED VIA LAMBERT FUNCTION // 2023 pp. 120
  25. RSCI MELNIKOV METHOD APPLIED TO THE STUDY OF DYNAMICS OF THE GENERALIZED COMPLEX GINZBURG-LANDAU EQUATION UNDER SMALL PERTURBATIONSMELNIKOV METHOD APPLIED TO THE STUDY OF DYNAMICS OF THE GENERALIZED COMPLEX GINZBURG-LANDAU EQUATION UNDER SMALL PERTURBATIONS // 2023 pp. 121
  26. RSCI NUMERICAL STUDY OF SOLITON SOLUTIONS OF THE NONLINEAR SCHRODINGER EQUATION WITH TRIPLE NONLINEARITYNUMERICAL STUDY OF SOLITON SOLUTIONS OF THE NONLINEAR SCHRODINGER EQUATION WITH TRIPLE NONLINEARITY // 2023 pp. 125
  27. Article
    Web of Science & Scopus
    Conservation laws and Hamiltonian of the nonlinear Schrodinger equation of the fourth order with arbitrary refractive index // Optik, 2023 Vol. 286, Q2 doi
  28. Article
    Web of Science & Scopus
    Hamiltonians of the Generalized Nonlinear Schrodinger Equations // Mathematics, 2023 Vol. 11, No. 10, Q1 doi
  29. Article
    Web of Science & Scopus
    Mathematical model with unrestricted dispersion and polynomial nonlinearity // Applied Mathematics Letters, 2023 Vol. 138, TOP10 doi
  30. Article
    Web of Science & Scopus
    Painleve analysis and optical solitons for a concatenated model // Optik, 2023 Vol. 272, Q2 doi
  31. Article
    Web of Science & Scopus
    Dispersive optical solitons of the generalized Schrodinger–Hirota model // Optik, 2023 Vol. 272, Q2 doi
  32. Article
    Web of Science & Scopus
    An estimative (warning) model for recognition of pandemic nature of virus infections // International Journal of Nonlinear Sciences and Numerical Simulation, 2023 Q2 doi
  33. Article
    Web of Science & Scopus
    Embedded Solitons of the Generalized Nonlinear Schrodinger Equation with High Dispersion // Regular and Chaotic Dynamics, 2022 Vol. 27, No. 6, Q1 pp. 680-696 doi
  34. Article
    Web of Science & Scopus
    Rational solitary waves and optical solitons of the model having unrestricted dispersion and nonlinearity with polynomial form // Optik, 2022 Vol. 271, Q2 doi
  35. Article
    Web of Science & Scopus
    Cubic–quartic optical solitons and conservation laws having cubic–quintic–septic–nonic self-phase modulation // Optik, 2022 Vol. 269, Q2 doi
  36. Article
    Web of Science & Scopus
    Optical Solitons of the Generalized Nonlinear Schrodinger Equation with Kerr Nonlinearity and Dispersion of Unrestricted Order // Mathematics, 2022 Vol. 10, No. 18, Q1 doi
  37. Article
    Web of Science & Scopus
    Bright solitons of the model with arbitrary refractive index and unrestricted dispersion // Optik, 2022 Vol. 270, Q2 doi
  38. Article
    Web of Science & Scopus
    Exact solutions of equation for description of embedded solitons // Optik, 2022 Vol. 268, Q2 doi
  39. Article
    Web of Science & Scopus
    Governed optical solitons of the generalized Schrodinger equation with dual-power law of refractive index // Optik, 2022 Vol. 266, Q2 doi
  40. Article
    Web of Science & Scopus
    Solitary waves of the generalized Radhakrishnan-Kundu-Lakshmanan equation with four powers of nonlinearity // Physics Letters, Section A: General, Atomic and Solid State Physics, 2022 Vol. 448, Q2 doi
  41. RSCI PROGRAM CODE FOR TESTING POLYNOMIALS ASSOCIATED WITH POINT VORTICES ON THE PLANEPROGRAM CODE FOR TESTING POLYNOMIALS ASSOCIATED WITH POINT VORTICES ON THE PLANE // 2022 pp. 97
  42. RSCI APPLICATION OF MELNIKOV S METHOD FOR EVALUATION OF CHAOS IN A NONLINEAR SATURABLE MEDIUMAPPLICATION OF MELNIKOV S METHOD FOR EVALUATION OF CHAOS IN A NONLINEAR SATURABLE MEDIUM // 2022 pp. 107
  43. RSCI NUMERICAL MODELLING OF TWO WAVES INTERACTION DESCRIBING BY THE GENERALIZED NONLINEAR SCHRODINGER EQUATIONNUMERICAL MODELLING OF TWO WAVES INTERACTION DESCRIBING BY THE GENERALIZED NONLINEAR SCHRODINGER EQUATION // 2022 pp. 103
  44. Article
    Web of Science & Scopus
    Complex dynamics of perturbed solitary waves in a nonlinear saturable medium: A Melnikov approach // Optik, 2022 Vol. 265, Q2 doi
  45. Article
    Web of Science & Scopus
    Exact solutions of the complex Ginzburg–Landau equation with law of four powers of nonlinearity // Optik, 2022 Vol. 265, Q2 doi
  46. Article
    Web of Science & Scopus
    Solitary waves of model with triple arbitrary power and non-local nonlinearity // Optik, 2022 Vol. 262, Q2 doi
  47. Article
    Web of Science & Scopus
    Data-driven soliton solutions and model parameters of nonlinear wave models via the conservation-law constrained neural network method // Chaos, Solitons and Fractals, 2022 Vol. 158, TOP10 doi
  48. Article
    Web of Science & Scopus
    Prediction of optical solitons using an improved physics-informed neural network method with the conservation law constraint // Chaos, Solitons and Fractals, 2022 Vol. 159, TOP10 doi
  49. Article
    Web of Science & Scopus
    Method for finding optical solitons of generalized nonlinear Schrodinger equations // Optik, 2022 Vol. 261, Q2 doi
  50. Article
    Web of Science & Scopus
    Preface of the Methods of Nonlinear Mathematical Physics // AIP Conference Proceedings, 2022 Vol. 2425, Q4 doi
  51. Article
    Web of Science & Scopus
    Nonlinear Dynamical Regimes of the Generalized Kuramoto-Sivashinsky Equation with Various Degrees of Nonlinearity // AIP Conference Proceedings, 2022 Vol. 2425, Q4 doi
  52. Article
    Web of Science & Scopus
    Painleve Analysis and Exact Solution to The Traveling Wave Reduction of Nonlinear Differential Equations for Describing Pulse in Optical Fiber // AIP Conference Proceedings, 2022 Vol. 2425, Q4 doi
  53. Article
    Web of Science & Scopus
    Explicit Formulas for General Solutions of Two Nonlinear Ordinary Differential Equations via Jacobi Elliptic Sine // AIP Conference Proceedings, 2022 Vol. 2425, Q4 doi
  54. Article
    Web of Science & Scopus
    Comparison of Some COVID-19 Data with Solutions of the SIR-model // AIP Conference Proceedings, 2022 Vol. 2425, Q4 doi
  55. Article
    Web of Science & Scopus
    Solitary Waves for the Sixth Order Nonlinear Differential Equation in Optical Fiber Bragg Grating // AIP Conference Proceedings, 2022 Vol. 2425, Q4 doi
  56. Article
    Web of Science & Scopus
    Traveling Wave Solutions of the Coupled Nonlinear Schrodinger Equation with Cubic-quintic-septic and Weak Non-local Nonlinearity // AIP Conference Proceedings, 2022 Vol. 2425, Q4 doi
  57. Article
    Web of Science & Scopus
    Highly dispersive optical solitons of the sixth-order differential equation with arbitrary refractive index // Optik, 2022 Vol. 259, Q2 doi
  58. Article
    Web of Science & Scopus
    Stationary solitons of the model with nonlinear chromatic dispersion and arbitrary refractive index // Optik, 2022 Vol. 259, Q2 doi
  59. Article
    Web of Science & Scopus
    Optical solitons of the model with generalized anti-cubic nonlinearity // Optik, 2022 Vol. 257, Q2 doi
  60. Article
    Web of Science & Scopus
    On solutions of one of the second-order nonlinear differential equation: An in-depth look and critical review // Optik, 2022 Vol. 255, Q2 doi
  61. Article
    Web of Science & Scopus
    Dynamical properties of the periodically perturbed Triki–Biswas equation // Optik, 2022 Vol. 253, Q2 doi
  62. Article
    Web of Science & Scopus
    Bright and dark solitons in a nonlinear saturable medium // Physics Letters, Section A: General, Atomic and Solid State Physics, 2022 Vol. 427, Q2 doi
  63. Article
    Web of Science & Scopus
    Stationary solitons of the generalized nonlinear Schrodinger equation with nonlinear dispersion and arbitrary refractive index // Applied Mathematics Letters, 2022 Vol. 128, TOP10 doi
  64. Article
    Web of Science & Scopus
    Optical solitons of nonlinear Schrodinger's equation with arbitrary dual-power law parameters // Optik, 2022 Vol. 252, Q2 doi
  65. Article
    Web of Science & Scopus
    Solitary waves described by a high-order system in optical fiber Bragg gratings with arbitrary refractive index // Mathematical Methods in the Applied Sciences, 2022 TOP10 doi
  66. RSCI Analysis of the SIR model parameters for several waves of COVID-19 in different regions // 2021 pp. 142-143
  67. RSCI Generalized Hermite polynomials and self-similar of the Burgers hierarchy // 2021 pp. 150-151
  68. RSCI Periodic and solitary wave solutions of the Biswas-Arshed equation forpulses in birefringent fiber // 2021 pp. 154-155
  69. RSCI Solitary waves described by a fourth-order system of equations for Bragg gratings // 2021 pp. 112-113
  70. RSCI Nonlinear dynamical regimes of the generalized Duffing equation // 2021 pp. 122-123
  71. RSCI Localization of plastic flow in one-dimensional and two-dimensional problems // 2021 pp. 129-130
  72. RSCI Exact solutions of the nonlinear differential equation for describing pulses with high dispersion // 2021 pp. 134-135
  73. RSCI Solution in the form of periodic and single waves of the generalized Schroedinger equation // 2021 pp. 96-97
  74. Article
    MEPhI publication
    GENERALIZED SOLUTION OF THE THIRD-ORDER NONLINEAR SCHRoDINGER EQUATION // Vestnik natsionalnogo issledovatelskogo yadernogo universiteta MIFI, 2021 Vol. Т. 10, No. N 1 pp. 19-26 doi
  75. Article
    MEPhI publication
    MATHEMATICAL MODEL OF OPTIMIZING EXPENDITURE ON THE INFORMATION PROTECTION SYSTEM IN THE NETWORK COMMUNICATION CHANNELS OF CONTROL SYSTEMS // Vestnik natsionalnogo issledovatelskogo yadernogo universiteta MIFI, 2021 Vol. Т. 10, No. N 3 pp. 239-243 doi
  76. Article
    MEPhI publication
    EXACT SOLUTIONS OF THE LAKSHMANAN–PORSEZIAN–DANIEL EQUATION // Vestnik natsionalnogo issledovatelskogo yadernogo universiteta MIFI, 2021 Vol. Т. 10, No. N 3 pp. 260-264 doi
  77. Article
    MEPhI publication
    RATIONAL SOLUTIONS OF THE BURGERS HIERARCHY // Vestnik natsionalnogo issledovatelskogo yadernogo universiteta MIFI, 2021 Vol. Т. 10, No. N 1 pp. 27-30 doi
  78. Article
    MEPhI publication
    MELNIKOV METHOD FOR THE GENERALIZED DUFFING EQUATION // Vestnik natsionalnogo issledovatelskogo yadernogo universiteta MIFI, 2021 Vol. Т. 10, No. N 2 pp. 135-142 doi
  79. Article
    MEPhI publication
    EXACT SOLUTIONS OF THE DIFFERENTIAL EQUATION FOR HIGHLY DISPERSED OPTICAL PULSES // Vestnik natsionalnogo issledovatelskogo yadernogo universiteta MIFI, 2021 Vol. Т. 10, No. N 2 pp. 143-150 doi
  80. Article
    Web of Science & Scopus
    Implicit solitary waves for one of the generalized nonlinear schrodinger equations // Mathematics, 2021 Vol. 9, No. 23, Q1 doi
  81. Article
    Web of Science & Scopus
    Periodic and solitary wave solutions of the Biswas-Arshed equation for pulses in a birefringent fiber // Journal of Physics: Conference Series, 2021 Vol. 2036, No. 1, Q4 doi
  82. Article
    Web of Science & Scopus
    Localization of plastic flow in one-dimensional and two-dimensional problems // Journal of Physics: Conference Series, 2021 Vol. 2036, No. 1, Q4 doi
  83. Article
    Web of Science & Scopus
    Model of propagation pulses in an optical fiber with a new law of refractive indices // Optik, 2021 Vol. 248, Q2 doi
  84. Article
    Web of Science & Scopus
    Optical solitons of the Chen–Lee–Liu equation with arbitrary refractive index // Optik, 2021 Vol. 247, Q2 doi
  85. Article
    Web of Science & Scopus
    Generalized Hermite polynomials for the Burgers hierarchy and point vortices // Chaos, Solitons and Fractals, 2021 Vol. 151, TOP10 doi
  86. Article
    Web of Science & Scopus
    Dynamical properties of the generalized model for description of propagation pulses in optical fiber with arbitrary refractive index // Optik, 2021 Vol. 245, Q2 doi
  87. Article
    Web of Science & Scopus
    Painleve analysis and traveling wave solutions of the sixth order differential equation with non-local nonlinearity // Optik, 2021 Vol. 244, Q2 doi
  88. Article
    Web of Science & Scopus
    Lax Pairs and Rational Solutions of Similarity Reductions for Kupershmidt and Sawada – Kotera Hierarchies // Regular and Chaotic Dynamics, 2021 Vol. 26, No. 3, Q1 pp. 271-292 doi
  89. Article
    Web of Science & Scopus
    Exact Solutions of the KdV Equation with Dual-Power Law Nonlinearity // Computational Mathematics and Mathematical Physics, 2021 Vol. 61, No. 3, Q3 pp. 431-435 doi
  90. Article
    Web of Science & Scopus
    The Lakshmanan–Porsezian–Daniel model with arbitrary refractive index and its solution // Optik, 2021 Vol. 241, Q2 doi
  91. Article
    Web of Science & Scopus
    A finite volume method for numerical simulations of adiabatic shear bands formation // Communications in Nonlinear Science and Numerical Simulation, 2021 Vol. 101, TOPMEPHI doi
  92. Article
    Web of Science & Scopus
    Revised results of Khalida Bibi on the Radhakrishnan–Kundu–Lakshmanan equation // Optik, 2021 Vol. 240, Q2 doi
  93. Article
    Web of Science & Scopus
    The Radhakrishnan–Kundu–Lakshmanan equation with arbitrary refractive index and its exact solutions // Optik, 2021 Vol. 238, Q2 doi
  94. Article
    Web of Science & Scopus
    Optical solitons of the resonant nonlinear Schrodinger equation with arbitrary index // Optik, 2021 Vol. 235, Q2 doi
  95. Article
    Web of Science & Scopus
    Solitary waves of the generalized Sasa–Satsuma equation with arbitrary refractive index // Optik, 2021 Vol. 232, Q2 doi
  96. Article
    Web of Science & Scopus
    Solitary waves of the non-local Schrodinger equation with arbitrary refractive index // Optik, 2021 Vol. 231, Q2 doi
  97. Article
    Web of Science & Scopus
    Almost general solution of the reduced higher-order nonlinear Schrodinger equation // Optik, 2021 Vol. 230, Q2 doi
  98. Article
    Web of Science & Scopus
    Lax pairs for one of hierarchies similar to the first Painleve hierarchy // Applied Mathematics Letters, 2021 Vol. 116, TOP10 doi
  99. Article
    Web of Science & Scopus
    Painleve analysis and traveling wave solutions of the fourth-order differential equation for pulse with non-local nonlinearity // Optik, 2021 Vol. 227, Q2 doi
  100. Article
    Web of Science & Scopus
    Dynamical features of the generalized Kuramoto-Sivashinsky equation // Chaos, Solitons and Fractals, 2021 TOP10 doi
  101. Article
    Web of Science & Scopus
    Analytical features of the SIR model and their applications to COVID-19 // Applied Mathematical Modelling, 2021 Vol. 90, TOP10 pp. 466-473 doi
  102. Article
    Web of Science & Scopus
    The generalized Duffing oscillator // Communications in Nonlinear Science and Numerical Simulation, 2021 Vol. 93, TOPMEPHI doi

Showing conferences for last 3 years

  1. Сентябрь 2021 19-th International Conference Of Numerical Analysis And Applied Mathematics. ICNAAM 2021 Report: Properties of Roots to the Generalized Hermite Polynomials

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