| Volume 7, Number 1, 2017, Pages 278-290 DOI：10.11948/2017019 |
| Planar bifurcation method of dynamical system for investigating different kinds of bounded travelling wave solutions of a generalized Camassa-Holm equation |
| Shaolong Xie,Xiaochun Hong,Tao Jiang |
| Keywords:GCH equation, periodic wave, periodic cusp wave, peakon, loop, kink wave. |
| Abstract: |
| In this study, by using planar bifurcation method of dynamical system, we study a generalized Camassa-Holm (gCH) equation. As results, under different parameter conditions, many bounded travelling wave solutions such as periodic waves, periodic cusp waves, solitary waves, peakons, loops and kink waves are given. The dynamic properties of these exact solutions are investigated. |
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