Journal of Applied Mathematics
Volume 2013 (2013), Article ID 895760, 7 pages
Research Article

F-Expansion Method and Its Application for Finding New Exact Solutions to the Kudryashov-Sinelshchikov Equation

Department of Mathematics, Honghe University, Mengzi, Yunnan 661199, China

Received 21 January 2013; Accepted 7 April 2013

Academic Editor: Anjan Biswas

Copyright © 2013 Yun-Mei Zhao. 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.


Based on the F-expansion method, and the extended version of F-expansion method, we investigate the exact solutions of the Kudryashov-Sinelshchikov equation. With the aid of Maple, more exact solutions expressed by Jacobi elliptic function are obtained. When the modulus m of Jacobi elliptic function is driven to the limits 1 and 0, some exact solutions expressed by hyperbolic function solutions and trigonometric functions can also be obtained.