Explicit compacton and generalized kink wave solutions for a CH-DP equation
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.
Fields of Study & Subjects
Nonlinear Waves and Solitons
Nonlinear Photonic Systems
Quantum Mechanics and Non-Hermitian Physics
Publication details
- Journal / source
- Electronic Research Archive
- Volume
- 34
- Issue
- 7
- Pages
- 4611–4625
- Publication date
- 1 January 2026
- Language
- EN