Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 747295, 14 pages
http://dx.doi.org/10.1155/2012/747295
Research Article

Traveling Wave Solutions for the Generalized Zakharov Equations

Ming Song1,2 and Zhengrong Liu1

1Department of Mathematics, South China University of Technology, Guangzhou 510640, China
2Department of Mathematics, Faculty of Sciences, Yuxi Normal University, Yuxi 653100, China

Received 12 March 2012; Accepted 30 March 2012

Academic Editor: Anders Eriksson

Copyright © 2012 Ming Song and Zhengrong Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We use the bifurcation method of dynamical systems to study the traveling wave solutions for the generalized Zakharov equations. A number of traveling wave solutions are obtained. Those solutions contain explicit periodic wave solutions, periodic blow-up wave solutions, unbounded wave solutions, kink profile solitary wave solutions, and solitary wave solutions. Relations of the traveling wave solutions are given. Some previous results are extended.