Journal of Applied Mathematics
Volume 2013 (2013), Article ID 481729, 10 pages
http://dx.doi.org/10.1155/2013/481729
Research Article

A New Fractional Subequation Method and Its Applications for Space-Time Fractional Partial Differential Equations

Fanwei Meng1 and Qinghua Feng2

1School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, China
2School of Science, Shandong University of Technology, Zibo, Shandong 255049, China

Received 22 February 2013; Accepted 1 July 2013

Academic Editor: Magdy A. Ezzat

Copyright © 2013 Fanwei Meng and Qinghua Feng. 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

A new fractional subequation method is proposed for finding exact solutions for fractional partial differential equations (FPDEs). The fractional derivative is defined in the sense of modified Riemann-Liouville derivative. As applications, abundant exact solutions including solitary wave solutions as well as periodic wave solutions for the space-time fractional generalized Hirota-Satsuma coupled KdV equations are obtained by using this method.