Explicit compacton and generalized kink wave solutions for a CH-DP equation
• Shaoyong Li,
• Ming Song
Shaoyong Li
Shaoguan University
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Ming Song
Shaoxing University
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## Abstract

In this paper, we consider a Camassa and Holm-Degasperis and Procesi (CH-DP) equation $u_{t}- c_{0}u_{x}+4uu_{x}-\alpha^2(u_{xxt}+uu_{xxx}+3u_{x}u_{xx})+\gamma u_{xxx}=0$. By using the bifurcation method of dynamical systems, some new explicit compacton and generalized kink wave solutions are presented through some special phase orbits. The results of before references are extended.