Abstract and Applied Analysis
Volume 2010 (2010), Article ID 652649, 9 pages
doi:10.1155/2010/652649
Research Article

New Exact Solutions for the ( 2 + 1 ) -Dimensional Broer-Kaup-Kupershmidt Equations

Ming Song,1 Shaoyong Li,2 and Jun Cao1

1Department of Mathematics, Faculty of Sciences, Yuxi Normal University, Yuxi 653100, China
2College of Mathematics and Information Sciences, Shaoguan University, Shaoguan 512005, China

Received 6 August 2010; Accepted 1 November 2010

Academic Editor: Narcisa C. Apreutesei

Copyright © 2010 Ming Song et al. 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 investigate the ( 2 + 1 ) -dimensional Broer-Kaup-Kupershmidt equations. Some explicit expressions of solutions for the equations are obtained by using the bifurcation method and qualitative theory of dynamical systems. These solutions contain kink-shaped solutions, blow-up solutions, periodic blow-up solutions, and solitary wave solutions. Some previous results are extended.