Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632015 | Applied Mathematics and Computation | 2010 | 13 Pages |
Abstract
The traveling wave solutions of the generalized nonlinear derivative Schrödinger equation and the high-order dispersive nonlinear Schrödinger 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 and periodic wave solutions) are given.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yixiang Geng, Jibin Li, Lixiang Zhang,