Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631594 | Applied Mathematics and Computation | 2011 | 12 Pages |
Abstract
The purpose of this paper is to reveal the dynamical behavior of the nonlinear wave equation with fifth-order nonlinear term, and provides its bounded traveling wave solutions. Applying the bifurcation theory of planar dynamical systems, we depict phase portraits of the traveling wave system corresponding to this equation under various parameter conditions. Through discussing the bifurcation of phase portraits, we obtain all explicit expressions of solitary wave solutions and kink wave solutions. Further, we investigate the relation between the bounded orbit of the traveling wave system and the energy level h. By analyzing the energy level constant h, we get all possible periodic wave solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Caier Ye, Weiguo Zhang,