Solitary waves at the interface of a two-layer fluid

DOI10.1007/BF01895332zbMath0526.76029OpenAlexW2333808243MaRDI QIDQ594685

Shi-qiang Dai

Publication date: 1982

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01895332

zbMATH Keywords

Korteweg-de Vries equationreductive perturbation methodcritical casesBoussinesq's approximation of weak dispersionfirst-order elevationinterfacial solitary wave modelnear-critical casessurface tension between two layers of fluid of different densitythird- and fifth-order dispersion terms

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25)

Related Items (8)

A semi-inverse algorithm in application of computer algebra ⋮ On head-on collison between two gKdV solitary waves in a stratified fluid ⋮ Head-on collision between two mKdV solitary waves in a two-layer fluid system ⋮ The orbital stability of solitary wave solutions for the generalized Gardner equation and the influence caused by the interactions between nonlinear terms ⋮ Analytical study of the head-on collision process between hydroelastic solitary waves in the presence of a uniform current ⋮ Solitary wave and similarity solutions of the combined KdV equation ⋮ Quasi-periodic waves and quasi-solitary waves in stratified fluid of slowly varying depth ⋮ The generalized Boussinesq equations and obliquely interacting solitary waves in a stratified fluid

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