Perturbation of a simple wave: from simulation to asymptotics

DOI10.13108/2023-15-3-54MaRDI QIDQ6553576

L. A. Kalyakin

Publication date: 11 June 2024

Published in: Ufimskiĭ Matematicheskiĭ Zhurnal (Search for Journal in Brave)

zbMATH Keywords

asymptoticsperturbationsmall parametersimple wave

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) PDEs in connection with optics and electromagnetic theory (35Q60) Second-order nonlinear hyperbolic equations (35L70) Magnetohydrodynamics and electrohydrodynamics (76W05) Wave front sets in context of PDEs (35A18) Traveling wave solutions (35C07)

Cites Work

• Perturbation of the Korteweg-de Vries soliton
• The behavior of solutions of some non-linear diffusion equations for large time
• Perturbation of a simple wave in a system with dissipation
• The wave of advance of advantageous genes.
• Asymptotic soliton-form solutions of equations with small dispersion
• On the problem of first correction in soliton perturbation theory
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