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| Issue |
Title |
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| Vol 11, No 4 (2022) |
REPRESENTATION OF SOLUTIONS TO THE BURGERS EQUATION TRIGONOMETRIC SERIES |
Abstract
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S. P. Bautin, V. E. Zamyslov |
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| Vol 11, No 2 (2022) |
Some Axisymmetric Solutions of the System of Maxwell’s Equations |
Abstract
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S. P. Bautin, A. G. Obukhov |
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| Vol 11, No 2 (2022) |
Algorithm for Constructing the First Integrals for One Class of Nonlinear Differential Equations of the Second Order |
Abstract
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N. A. Kudryashov |
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| Vol 11, No 2 (2022) |
On Some Properties of Solutions of Nonlinear Systems of Differential Equations |
Abstract
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V. V. Tsegel’nik |
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| Vol 11, No 2 (2022) |
On the Reduction of the Magnetic Gas Dynamics System of Equations to Systems of Ordinary Differential Equations |
Abstract
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O. N. Ul’yanov, L. I. Rubina |
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| Vol 11, No 3 (2022) |
Stability of Optical Pulses Described by the Perturbed Ginzburg–Landau Equation |
Abstract
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S. F. Lavrova, N. A. Kudryashov |
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| Vol 11, No 3 (2022) |
Example of a Continuous Nowhere-Differentiable Function with the Modulus of Continuity not Exceeding a Given Value |
Abstract
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D. S. Telyakovskii |
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| Vol 11, No 3 (2022) |
Solitary Waves of the Generalized Korteweg–de Vries Equation Including a Dispersion of an Arbitrary Order |
Abstract
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N. A. Kudryashov, N. V. Ermolaeva |
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| Vol 11, No 3 (2022) |
Proof of the Maximum Modulus Principle of an Analytic Function |
Abstract
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K. Y. Kudryavtsev |
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| Vol 10, No 6 (2021) |
Point Vortices and Polynomials: Program Code for Testing Polynomials Associated with Point Vortices on the Plane |
Abstract
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A. A. Bayramukov, N. A. Kudryashov, A. A. Kutukov |
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| Vol 10, No 6 (2021) |
Application of the Melnikov Method for the Analysis of the Biswas–Arshed Equation |
Abstract
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V. A. Medvedev, S. F. Lavrova, N. A. Kudryashov |
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| Vol 11, No 1 (2022) |
Dark and Bright Solitons of the Nonlinear Schrödinger Equation with Saturation |
Abstract
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E. V. Antonova, N. A. Kudryashov |
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| Vol 11, No 1 (2022) |
Solving the Cauchy Problem for a System of Maxwell’s Equations |
Abstract
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S. P. Bautin, A. G. Obukhov |
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| Vol 11, No 1 (2022) |
Numerical Simulation of Pulse Propagation in an Optical Fiber with Two Refractive Indices |
Abstract
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K. V. Kan, N. A. Kudryashov |
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| Vol 10, No 5 (2021) |
Analytical and Numerical Solution of the Generalized Nonlinear Schrödinger Equation with an Arbitrary Refractive Index |
Abstract
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K. V. Kan, N. A. Kudryashov |
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| Vol 10, No 5 (2021) |
On the Reduction of a System of Partial Differential Equations to Systems of Ordinary Differential Equations |
Abstract
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O. N. Ul’yanov, L. I. Rubina |
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| Vol 10, No 5 (2021) |
Group Analysis of the Fourth-Order Differential Equation for Describing Optical Pulses |
Abstract
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D. V. Safonova, N. A. Kudryashov |
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| Vol 10, No 5 (2021) |
Exact Solutions of One of the Nonlinear Differential Equations in Nonlinear Optics |
Abstract
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N. V. Ermolaeva, N. A. Kudryashov |
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| Vol 10, No 3 (2021) |
Solutions of Ultrahyperbolic Differential Equations 2 × 2 and Their Application to the Description of Pole Figures |
Abstract
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E. A. Fedotov, T. I. Savyolova |
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| Vol 10, No 3 (2021) |
Exact Solutions of the Lakshmanan–Porsezian–Daniel Equation |
Abstract
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A. A. Bayramukov, N. A. Kudryashov, A. A. Kutukov |
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| Vol 10, No 4 (2021) |
Analytical Properties of Solutions of Three-Dimensional Conservative Systems with Two or Four Quadratic Nonlinearities |
Abstract
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V. V. Tsegel’nik |
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| Vol 10, No 4 (2021) |
Soliton Solutions of the Chen–Li–Liu Equation with an Arbitrary Refractive Index |
Abstract
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N. A. Kudryashov, N. V. Ermolaeva |
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| Vol 10, No 4 (2021) |
Application of the Melnikov Method to the Triki–Biswas Equation |
Abstract
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S. F. Lavrova, N. A. Kudryashov |
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| Vol 10, No 2 (2021) |
Melnikov Method for the Generalized Duffing Equation |
Abstract
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S. F. Lavrova, N. A. Kudryashov |
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| Vol 10, No 2 (2021) |
Exact Solutions of the Differential Equation for Highly Dispersed Optical Pulses |
Abstract
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D. V. Safonova, N. A. Kudryashov |
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| Vol 9, No 6 (2020) |
Dynamical System for the Nonlinear Fourth-Order Differential Equation from the K2 Hierarchy |
Abstract
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N. A. Kudryashov |
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| Vol 9, No 6 (2020) |
Exact Solution of Sixth Order Nonlinear Differential Equations for Description of Optical Pulses |
Abstract
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D. V. Safonova, N. A. Kudryashov |
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| Vol 9, No 6 (2020) |
Lyapunov Exponents of the Finite-Difference Approximation of the Generalized Kuramoto–Sivashinsky Equation |
Abstract
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S. F. Lavrova, N. A. Kudryashov |
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| Vol 10, No 1 (2021) |
Generalized Solution of the Third-Order Nonlinear Schrödinger Equation |
Abstract
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E. V. Antonova, N. A. Kudryashov |
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| Vol 10, No 1 (2021) |
Rational Solutions of the Burgers Hierarchy |
Abstract
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E. F. Khafizova, N. A. Kudryashov |
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| Vol 9, No 5 (2020) |
Nonlinear Dynamical Processes Described by the Generalized Duffing Equation with an External Force |
Abstract
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S. F. Lavrova, N. A. Kudryashov |
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| Vol 9, No 5 (2020) |
Optical Solitons Described by a System of the Fourth Order Nonlinear Differential Equations with Nonlocal Nonlinearity |
Abstract
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K. V. Kan, N. A. Kudryashov |
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| Vol 9, No 5 (2020) |
Exact Solution of Fourth Order Differential Equations for Description of Optical Pulses |
Abstract
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D. V. Safonova, N. A. Kudryashov |
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| Vol 9, No 5 (2020) |
Using Simple Solutions of Nonlinear Equations of Mathematical Physics to Construct More Complex Solutions |
Abstract
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A. D. Polyanin, A. V. Aksenov |
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| Vol 9, No 5 (2020) |
Solitary Wave Solutions of the Coupled Nonlinear Schrödinger Equation with Cubic–Quintic–Septic Nonlinearity |
Abstract
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A. A. Kutukov, N. A. Kudryashov |
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| Vol 9, No 4 (2020) |
Generalized Variant of the Variational Ginzburg–Landau Equation |
Abstract
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D. A. Kulikov |
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| Vol 9, No 4 (2020) |
Analytical Properties of Solutions of Three-Dimensional Autonomous Conservative Systems with One or Three Quadratic Nonlinearities without Chaotic Behavio |
Abstract
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V. V. Tsegel’nik |
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| Vol 9, No 5 (2020) |
Approximate Solutions of the SIR-Model for Describing the Coronavirus |
Abstract
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N. A. Kudryashov, M. A. Chmykhov |
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| Vol 9, No 4 (2020) |
Exact Solutions of Nonlinear Partial Differential Equations with Pantograph Type Variable Delay |
Abstract
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A. D. Polyanin, V. G. Sorokin |
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| Vol 9, No 3 (2020) |
Highly Dispersive Solitons Described by the System of Nonlinear Differential Equations Including a Bragg Grating |
Abstract
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K. V. Kan, N. A. Kudryashov |
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| Vol 9, No 2 (2020) |
Soltary Wave Solutions of the Generalized Nonlinear Schrödinger Equation with Cubic, Quintic, and Septic Nonlinearities |
Abstract
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K. V. Kan, N. A. Kudryashov |
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| Vol 9, No 2 (2020) |
Construction of Exact Solutions for Nonlinear Equations of Mathematical Physics with Delay Using Solutions of Simpler Equations without Delay |
Abstract
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A. D. Polyanin, V. G. Sorokin |
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| Vol 9, No 2 (2020) |
Nonlinear Dynamical Processes Described by the Traveling Wave Reduction of the Generalized Kuramoto–Sivashinsky Equation |
Abstract
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S. F. Lavrova, N. A. Kudryashov |
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| Vol 8, No 6 (2019) |
Automation of the Construction of Exact Solutions of Nonlinear Differential Equations |
Abstract
PDF (Rus)
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N. A. Kudryashov, A. A. Kutukov |
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| Vol 8, No 6 (2019) |
Analytical Solution of a Heat Exchange Problem for Turbulent Boundary Layer |
Abstract
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A. V. Eremin, V. K. Tkachev, T. B. Tarabrina, I. V. Kudinov, S. V. Kolesnikov |
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| Vol 9, No 1 (2020) |
Exact Solutions of a Nonlinear Differential Equation with Third and Fifth Degree Nonlinearities for Description of Optical Pulses |
Abstract
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N. A. Kudryashov, D. V. Safonova |
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| Vol 9, No 1 (2020) |
Construction of Exact Solutions of Nonlinear Differential Equations by the Splitting Method |
Abstract
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A. D. Polyanin, L. V. Linchuk |
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| Vol 9, No 1 (2020) |
Nonlinear Dynamic Processes Described by the Radhakrishnan–Kundu–Lakshmanan Equations |
Abstract
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S. F. Lavrova, N. A. Kudryashov |
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| Vol 8, No 6 (2019) |
The Qualitative Features of the Numerical Integration Problems with a Boundary Layer by Nonlocal Transformations |
Abstract
PDF (Rus)
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A. D. Polyanin, I. K. Shingareva |
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| Vol 8, No 5 (2019) |
Exact Solutions of Nonlinear Telegraph Equations with Delay |
Abstract
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V. G. Sorokin |
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| Vol 8, No 5 (2019) |
Exact Solutions in the Implicit Form of Nonlinear Mass and Heat Transfer Equations with Variable Coefficients |
Abstract
PDF (Rus)
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A. D. Polyanin |
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| Vol 8, No 5 (2019) |
Nonlinear Differential Equations of the Third and Fourth orders with Exact Solutions Expressed in terms of the Weierstrass Elliptic Function |
Abstract
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S. F. Lavrova, N. A. Kudryashov, A. A. Kutukov |
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| Vol 8, No 5 (2019) |
Bessel Functions of a Real Order and Krein’s Series |
Abstract
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V. B. Sherstyukov, E. V. Sumin |
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| Vol 8, No 5 (2019) |
Method of Functional Separation of Variables Can Give More Exact Solutions than Methods Based on a Single Differential Constraint |
Abstract
PDF (Rus)
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A. D. Polyanin |
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| Vol 8, No 3 (2019) |
First Integrals of One Fourth Order Ordinary Differential Equation |
Abstract
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Yu. E. Semenova, D. I. Sinelshchikov, N. A. Kudryashov |
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| Vol 8, No 4 (2019) |
Nonlinear Reaction–Diffusion Equations with Variable Coefficients: Method for Finding Exact Solutions in an Implicit Form |
Abstract
PDF (Rus)
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A. D. Polyanin |
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| Vol 8, No 4 (2019) |
Analytical and Numerical Properties of the Mathematical Model of the Insulin–Glucose Balance in Human Blood |
Abstract
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K. V. Kan, N. A. Kudryashov |
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| Vol 8, No 3 (2019) |
Exact Solutions of Nonlinear Telegraph Equations with Variable Coefficients |
Abstract
PDF (Rus)
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A. D. Polyanin |
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| Vol 8, No 3 (2019) |
Nonlinear Wave Processes in a Medium of Interacting Particles without Collisions |
Abstract
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V. V. Averina, N. A. Kudryashov |
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| Vol 8, No 3 (2019) |
Numerical Integration of Nonlinear Klein–Gordon Type Equations with Delay by the Method of Lines |
Abstract
PDF (Rus)
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V. G. Sorokin |
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| Vol 8, No 3 (2019) |
Basic Conservation Laws of the System of Equations of Two-Dimensional Shallow Water over an Uneven Bottom in the Lagrangian Variables |
Abstract
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A. V. Aksenov, K. P. Druzhkov |
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| Vol 8, No 3 (2019) |
On the Asymptotic Behavior of a Simple Eigenvalue of the Steklov Problem Perturbed on a Small Part of the Boundary by the Homogeneous Dirichlet Condition |
Abstract
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Yu. O. Koroleva, T. P. Chechkina |
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