Exact Peakon, Periodic Peakon and Pseudo-Peakon Solutions of the Rotation-Two-Component Camassa-Holm System

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Detail(s)

Original languageEnglish
Article number2050139
Journal / PublicationInternational Journal of Bifurcation and Chaos
Volume30
Issue number9
Publication statusPublished - Jul 2020

Abstract

In this paper, the method of dynamical systems developed in [Li & Chen, 2007] is applied to the rotation-two-component Camassa-Holm system. Through qualitative analysis, under given parameter conditions, exact explicit solitary wave solution, pseudo-peakon solution, peakon and periodic peakon, as well as compacton solution, are obtained. Some parameter conditions constraints are derived for ensuring the existence of these solutions.

Research Area(s)

  • compacton, Peakon, periodic peakon, pseudo-peakon, rotation-two-component Camassa-Holm system, solitary wave, traveling wave