BIFURCATIONS AND EXACT TRAVELLING WAVE SOLUTIONS FOR A SHALLOW WATER WAVE MODEL WITH A NON-STATIONARY BOTTOM SURFACE

DOI10.11948/20190254zbMath1457.34065OpenAlexW2997998423MaRDI QIDQ5858013

Jie Song, Ji-Bin Li

Publication date: 9 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/20190254

zbMATH Keywords

bifurcationsolitary wave solutionperiodic wave solutioncompacton solutionshallow water wave model

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Soliton equations (35Q51) Bifurcation theory for PDEs on manifolds (58J55)

Related Items (2)

Bifurcations and exact traveling wave solutions of the \((n+1)\)-dimensional \(q\)-deformed double sinh-Gordon equations ⋮ BIFURCATIONS AND EXACT TRAVELING WAVE SOLUTIONS OF THE EQUIVALENT COMPLEX SHORT-PULSE EQUATIONS

Cites Work

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• A class of exact nonlinear traveling wave solutions for shallow water with a non-stationary bottom surface
• On the fully-nonlinear shallow-water generalized Serre equations
• Understanding Peakons, Periodic Peakons and Compactons via a Shallow Water Wave Equation
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• On the transition to planing of a boat
• On inviscid flow in a waterfall
• A derivation of equations for wave propagation in water of variable depth

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