| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4634145 | Applied Mathematics and Computation | 2008 | 27 Pages |
Abstract
The traveling wave solutions of the Calogero–Degasperis–Fokas (CDF) equation are studied by using the approach of dynamical systems and the theory of bifurcations. With the aid of Maple, all bifurcations and phase portraits in the parametric space are obtained. All possible explicit parametric representations of the bounded traveling wave solutions (solitary wave solutions, kink and anti-kink wave solutions, periodic wave solutions and breaking wave solutions) are given. Moreover, the reason for appearance of breaking waves and for persistence of smoothness of smooth traveling waves is explained.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yixiang Geng, Jibin Li,