| Bifurcations of Travelling Wave Solutions in Three Modified Camassa-Holm Equations |
| Yanggeng Fu,Jibin Li |
| Keywords:solitary wave solution, $M$-shape-wave solution, periodic wave solution, bifurcation, modified Camassa-Holm equation. |
| Abstract: |
| This paper studies traveling wave solutions of three modified Camassa-Holm equations posed by
Anco and Recio in 2019. The corresponding traveling system is a singular system of second class.
The bifurcations of traveling wave solutions in the parameter space are investigated from a dynamical systems theoretical point of view.
The existence of solitary wave solution, periodic wave solution and so-called $M$-shape-solution are proved. |
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