| MSC: | 35J20 | Variational methods for second-order, elliptic equations |
| 35Q25 |
Abstract:
In this paper, the bifurcation method of planar systems and simulation method of differential equations are
employed to investigate the bounded travelling waves of a generalized Camassa-Holm equation. The bounded travelling
waves defined on finite core regions are found and their integral or implicit expressions are obtained.
Their planar simulation graphs show that they possess the properties of compactons or generalized kink waves.