Bifurcations of traveling wave solutions for the magma equation
详细信息 查看全文
- 作者：Yixiang Geng ; Lixiang Zhang
- 关键词：Solitary wave solution ; Periodic wave solution ; Breaking wave solution ; Theory of bifurcation ; Magma equation
- 刊名：Applied Mathematics and Computation
- 出版年：2010
- 出版时间：15 October 2010
- 年：2010
- 卷：217
- 期：4
- 页码：1741-1748
- 全文大小：1182 K
文摘
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.