Journal of Applied Mathematics
Volume 2012 (2012), Article ID 769843, 16 pages
http://dx.doi.org/10.1155/2012/769843
Research Article

The Extended Hyperbolic Function Method for Generalized Forms of Nonlinear Heat Conduction and Huxley Equations

Yong Huang1 and Yadong Shang2

1School of Computer Science and Educational Software, Guangzhou University, Guangdong, Guangzhou 510006, China
2School of Mathematics and Information Science, Guangzhou University, Guangdong, Guangzhou 510006, China

Received 13 November 2011; Accepted 6 January 2012

Academic Editor: A. A. Soliman

Copyright © 2012 Yong Huang and Yadong Shang. 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

The extended hyperbolic function method is used to derive abundant exact solutions for generalized forms of nonlinear heat conduction and Huxley equations. The extended hyperbolic function method provides abundant solutions in addition to the existing ones. Some previous results are supplemented and extended greatly.