More on Bifurcations and Dynamics of Traveling Wave Solutions for a Higher-Order Shallow Water Wave Equation

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Original languageEnglish
Article number1950014
Journal / PublicationInternational Journal of Bifurcation and Chaos
Issue number1
Publication statusPublished - Jan 2019


This paper studies the dynamics of traveling wave solutions to a shallow water wave model with a large-amplitude regime in phase space. The corresponding traveling wave system is a singular planar dynamical system with two singular straight lines. By using the method of dynamical systems, bifurcation diagrams are obtained. The existence of solitary wave solutions, periodic wave solutions, peakon, pseudo-peakon solution, periodic peakon solutions and compacton solutions are determined under different parameter conditions.

Research Area(s)

  • bifurcation, kink and anti-kink wave solutions, periodic solution, Singular traveling wave system, solitary wave solution