| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4632039 | Applied Mathematics and Computation | 2010 | 8 Pages |
Abstract
The traveling wave solutions of the magma 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. Under different regions of parametric space, various sufficient conditions to guarantee the existence of solitary wave, periodic wave and breaking wave solutions are given. Moreover, the reason for appearance of breaking waves is explained.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yixiang Geng, Lixiang Zhang,