Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 796398, 5 pages
doi:10.1155/2010/796398
Research Article

Exact Solutions of the Generalized Benjamin-Bona-Mahony Equation

Xun Liu, Lixin Tian, and Yuhai Wu

Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China

Received 5 February 2010; Revised 30 June 2010; Accepted 26 September 2010

Academic Editor: Yuri Vladimirovich Mikhlin

Copyright © 2010 Xun Liu 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 apply the theory of Weierstrass elliptic function to study exact solutions of the generalized Benjamin-Bona-Mahony equation. By using the theory of Weierstrass elliptic integration, we get some traveling wave solutions, which are expressed by the hyperbolic functions and trigonometric functions. This method is effective to find exact solutions of many other similar equations which have arbitrary-order nonlinearity.