Soliton, kink and antikink solutions of a 2-component of the Degasperis-Procesi equation
Jiangbo Zhou, Lixin Tian, Xinghua Fan
TL;DR
This paper uses bifurcation theory to analyze traveling wave solutions of a 2-component Degasperis-Procesi equation, deriving explicit forms for solitons, kinks, and antikinks.
Contribution
It introduces a bifurcation analysis approach to find explicit traveling wave solutions for the 2-component Degasperis-Procesi equation, expanding understanding of its wave phenomena.
Findings
Explicit smooth soliton solutions derived
Kink and antikink solutions obtained
Bifurcation method applied successfully
Abstract
In this paper, we employ the bifurcation theory of planar dynamical systems to investigate the traveling wave solutions of a 2-component of the Degasperis-Procesi equation. The expressions for smooth soliton, kink and antikink solutions are obtained.
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