Solitary waves in media with dispersion and dissipation. (A review)

DOI10.1007/BF02831423zbMath0995.76013OpenAlexW2156840507MaRDI QIDQ1592058

Andrej Il'ichev

Publication date: 21 October 2002

Published in: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02831423

zbMATH Keywords

existencedispersive mediaFaraday resonancedissipative mediageneralized Kadomtsev-Petviashvili equationsmall-amplitude solitary wavescold collisionless plasmaideal incompressible fluid of finite depth beneath elastic plateplane solitary wavesrapidly oscillating rectangular vesselspontaneous dimension breaking

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02)

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