Solitons and periodic travelling waves for the 2D-generalized Benney–Luke equation

DOI10.1080/00036810601152390zbMath1220.35125OpenAlexW2055416009WikidataQ58254843 ScholiaQ58254843MaRDI QIDQ5297098

José Rául Quintero

Publication date: 18 July 2007

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810601152390

zbMATH Keywords

shallow-water equationsconcentration-compactness principlelump solitons

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Variational methods applied to PDEs (35A15) Navier-Stokes equations (35Q30) Soliton equations (35Q51)

Related Items (5)

Existence of Periodic Traveling Wave Solutions for a K-P-Boussinesq Type System ⋮ Existence of solutions for a fractional equation in an unbounded domain ⋮ Solitons and periodic traveling waves for a hyperelastic dispersive equation ⋮ On the Cauchy problem and solitons for a class of 1D Boussinesq systems ⋮ Exact traveling wave solutions to 2D-generalized Benney-Luke equation

Cites Work

• A host of traveling waves in a model of three-dimensional water-wave dynamics
• Two-dimensional solitary waves for a Benney-Luke equation
• Periodic and solitary traveling wave solutions for the generalized Kadomtsev–Petviashvili equation

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