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

Jibin Li*, Guanrong Chen, Yan Zhou

*Corresponding author for this work

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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.
Original languageEnglish
Article number2050139
JournalInternational Journal of Bifurcation and Chaos
Volume30
Issue number9
DOIs
Publication statusPublished - Jul 2020

Research Keywords

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

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