Table of Contents
Physics Research International
Volume 2014, Article ID 786965, 4 pages
http://dx.doi.org/10.1155/2014/786965
Research Article

Full Symmetry Groups and Exact Solutions to BKP and GKP Equations

1Institute of Nonlinear Science, Shaoxing University, Shaoxing 312000, China
2Department of Physics, Shanghai Jiao Tong University, Shanghai 200040, China

Received 1 July 2014; Accepted 9 September 2014; Published 18 September 2014

Academic Editor: Juan Jose Hernandez-Rey

Copyright © 2014 Bo Ren and Jian-Yong Wang. 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 nonlinear BKP and GKP equations with the modified direct CK’s method. Then, we get its Lie point groups and the full symmetry group, and a relationship is constructed between the new solutions and the old one. Based on the relationship, the new solutions can be obtained by using a given solution of the equations.