On one method for constructing exact solutions of nonlinear equations of mathematical physics

DOI10.1134/S1064562419060115zbMath1455.35037OpenAlexW2995364808MaRDI QIDQ2191328

Andrei D. Polyanin, Alexei I. Zhurov

Publication date: 24 June 2020

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562419060115

zbMATH Keywords

splitting principlenonlinear integral transformations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Numerical methods for integral transforms (65R10) Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07)

Cites Work

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• Separation of variables for the 1-dimensional nonlinear diffusion equation
• Functional separable solutions of nonlinear reaction-diffusion equations with variable coefficients
• Functional separable solutions of nonlinear convection-diffusion equations with variable coefficients
• A family of nonlinear Klein–Gordon equations and their solutions
• Separation of variables in the nonlinear wave equation

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