Asymptotic soliton-form solutions of equations with small dispersion

DOI10.1070/RM1981v036n03ABEH004248zbMath0494.35080OpenAlexW2040575706MaRDI QIDQ3957336

V. P. Maslov, Georgii A. Omel'yanov

Publication date: 1981

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1981v036n03abeh004248

zbMATH Keywords

shock wavesdiscontinuous solutionsKorteweg-de Vries equationKodomtsev-Petviashvili equationdegenerate equationSine-Gordon equationHugoniot relationsasymptotic soliton-like solutionsmulti-phase asymptotic solutionsnonlinear equations with small dispersion

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic expansions of solutions to PDEs (35C20) Partial differential equations of mathematical physics and other areas of application (35Q99) Degenerate hyperbolic equations (35L80)

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