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Mathematics
Russia
2026

D-Index & Metrics

Mathematics

D-Index
58
Citations
11909
World Ranking
642
National Ranking
4

Research.com Recognitions

  • 2026 - Research.com Mathematics in Russia Leader Award
  • 2025 - Research.com Mathematics in Russia Leader Award

Overview

Nikolay A. Kudryashov is affiliated with the Moscow Engineering Physics Institute in the Russian Federation. Their research primarily focuses on the fields of Physics and Astronomy, with a specialization in Statistical and Nonlinear Physics, Atomic and Molecular Physics and Optics, Mathematical Physics, Geometry and Topology, and Modeling and Simulation.

The main topics of their work include:

  • Nonlinear Waves and Solitons
  • Nonlinear Photonic Systems
  • Advanced Fiber Laser Technologies
  • Advanced Mathematical Physics Problems
  • Numerical Methods for Differential Equations
  • Advanced Differential Equations and Dynamical Systems
  • Fractional Differential Equations Solutions

Kudryashov has published extensively in scientific journals, with frequent appearances in the following venues:

  • Optik
  • Chaos Solitons & Fractals
  • AIP Conference Proceedings
  • Physics Letters A
  • Вестник НИЯУ МИФИ

Recent papers from 2020 include:

  • Method for finding highly dispersive optical solitons of nonlinear differential equations, published in Optik
  • Mathematical model of propagation pulse in optical fiber with power nonlinearities, published in Optik
  • Highly dispersive optical solitons of the generalized nonlinear eighth-order Schrödinger equation, published in Optik
  • Analytical features of the SIR model and their applications to COVID-19, published in Applied Mathematical Modelling
  • Solitary waves of equation for propagation pulse with power nonlinearities, published in Optik

Their collaborative work involves frequent co-authorship with several researchers, including:

  • Sofia F. Lavrova
  • Daniil R. Nifontov
  • А. А. Кутуков
  • Andrei D. Polyanin
  • Chao-Qing Dai

Best Publications

  • One method for finding exact solutions of nonlinear differential equations

    Nikolay A. Kudryashov

  • Simplest equation method to look for exact solutions of nonlinear differential equations

    Nikolai A. Kudryashov

  • Exact solutions of the generalized Kuramoto-Sivashinsky equation

    N.A. Kudryashov

  • Method for finding highly dispersive optical solitons of nonlinear differential equations

    Nikolay A. Kudryashov

  • Extended simplest equation method for nonlinear differential equations

    Nikolai A. Kudryashov;Nadejda B. Loguinova

  • Seven common errors in finding exact solutions of nonlinear differential equations

    Nikolai A. Kudryashov

  • Exact solitary waves of the Fisher equation

    Nikolai A. Kudryashov

  • A generalized model for description of propagation pulses in optical fiber

    Nikolay A. Kudryashov

  • Mathematical model of propagation pulse in optical fiber with power nonlinearities

    Nikolay A. Kudryashov

  • Be careful with the Exp-function method

    Nikolai A. Kudryashov;Nadejda B. Loguinova

  • On "new travelling wave solutions" of the KdV and the KdV-Burgers equations

    Nikolai A. Kudryashov

  • Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations

    Nikolay A. Kudryashov

  • Highly dispersive optical solitons of the generalized nonlinear eighth-order Schrödinger equation

    Nikolay A. Kudryashov

  • Solitary wave solutions of hierarchy with non-local nonlinearity

    Nikolay A. Kudryashov

  • A note on the G′/G-expansion method

    Nikolai A. Kudryashov

  • Solitary waves of equation for propagation pulse with power nonlinearities

    Nikolay A. Kudryashov;Ekaterina V. Antonova

  • First integrals and solutions of the traveling wave reduction for the Triki-Biswas equation

    Nikolay A. Kudryashov

  • Meromorphic solutions of nonlinear ordinary differential equations

    Nikolai A. Kudryashov

  • Analytical features of the SIR model and their applications to COVID-19

    Nikolay A. Kudryashov;Mikhail A. Chmykhov;Michael Vigdorowitsch

  • General solution of traveling wave reduction for the Kundu-Mukherjee-Naskar model

    Nikolay A. Kudryashov

  • Periodic and solitary waves in optical fiber Bragg gratings with dispersive reflectivity

    Nikolay A. Kudryashov

Frequent Co-Authors

Anjan Biswas
Anjan Biswas Grambling State University
Konstantin G. Skryabin
Konstantin G. Skryabin Russian Academy of Sciences
Chao-Qing Dai
Chao-Qing Dai Zhejiang A & F University
Wenjun Liu
Wenjun Liu Beijing University of Posts and Telecommunications

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