Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 507815, 10 pages
doi:10.1155/2009/507815
Research Article

Periodic and Solitary Wave Solutions to the Fornberg-Whitham Equation

Jiangbo Zhou and Lixin Tian

Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China

Received 27 November 2008; Revised 4 February 2009; Accepted 6 March 2009

Academic Editor: Katica R. (Stevanovic) Hedrih

Copyright © 2009 Jiangbo Zhou and Lixin Tian. 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

New travelling wave solutions to the Fornberg-Whitham equation ut−uxxt+ux+uux=uuxxx+3uxuxx are investigated. They are characterized by two parameters. The expresssions for the periodic and solitary wave solutions are obtained.