Families of exact solutions for linear and nonlinear wave equations with a variable speed of sound and their use in solving initial boundary value problems

DOI10.1134/S0040577917070030zbMath1384.37089OpenAlexW2746339487MaRDI QIDQ1705401

E. V. Trifonov

Publication date: 15 March 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577917070030

zbMATH Keywords

wave equationexact solutionBäcklund transformation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Wave equation (35L05) Hyperbolic conservation laws (35L65) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Traveling wave solutions (35C07)

Cites Work

• Unnamed Item
• Multidimensional nonlinear wave equations with multivalued solutions
• Bäcklund transformations and their applications

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