International Journal of Differential Equations
Volume 2011 (2011), Article ID 463416, 16 pages
http://dx.doi.org/10.1155/2011/463416
Research Article

Time-Periodic Solution of the Weakly Dissipative Camassa-Holm Equation

Chunyu Shen1,2

1Nonlinear Scientific Research Center, Jiangsu University, Xuefu Road 301, Zhenjiang, Jiangsu 212013, China
2Academic Affairs Office, Jiangsu University, Xuefu Road 301, Zhenjiang, Jiangsu 212013, China

Received 31 May 2011; Accepted 31 August 2011

Academic Editor: Shangbin Cui

Copyright © 2011 Chunyu Shen. 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

This paper is concerned with time-periodic solution of the weakly dissipative Camassa-Holm equation with a periodic boundary condition. The existence and uniqueness of a time periodic solution is presented.