Small-amplitude solitary and generalized solitary traveling waves in a gravity two-layer fluid with vorticity

DOI10.1016/j.na.2016.11.012zbMath1356.35190OpenAlexW2559765894MaRDI QIDQ730417

Ling-Jun Wang

Publication date: 27 December 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2016.11.012

zbMATH Keywords

gravityvorticitybifurcation theorytwo-layer fluid

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Bifurcations in context of PDEs (35B32) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Soliton solutions (35C08)

Related Items (4)

Traveling water waves — the ebb and flow of two centuries ⋮ Variational formulation of rotational steady water waves in two-layer flows ⋮ Large-Amplitude Solitary Waves in Two-Layer Density Stratified Water ⋮ Traveling wave solutions of a generalized Burgers-\(\alpha\beta\) equation

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