Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631872 | Applied Mathematics and Computation | 2010 | 12 Pages |
Abstract
By using the method of planar dynamical systems to an integrable nonlinear wave equation, the existence of periodic travelling wave, solitary wave and kink wave solutions is proved in the different parametric conditions. The phase portraits of the travelling wave system are given. It can be shown that the existence of singular curves in the travelling wave system is the reason why the travelling wave solutions lose their smoothness. Moreover, the so-called W/M-shaped solitary wave solutions are obtained.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Aiyong Chen, Yiping Lin, Shumin Li,