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International Journal of Differential Equations
Volume 2010 (2010), Article ID 954674, 11 pages
http://dx.doi.org/10.1155/2010/954674
Research Article

Solitary Wave Solutions for a Time-Fraction Generalized Hirota-Satsuma Coupled KdV Equation by a New Analytical Technique

Department of Mechanical Engineering, Babol University of Technology, P. O. Box 484, 47148 71167 Babol, Iran

Received 17 May 2009; Accepted 7 July 2009

Academic Editor: Shaher Momani

Copyright © 2010 Majid Shateri and D. D. Ganji. 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 iterative technique is employed to solve a system of nonlinear fractional partial differential equations. This new approach requires neither Lagrange multiplier like variational iteration method (VIM) nor polynomials like Adomian's decomposition method (ADM) so that can be more easily and effectively established for solving nonlinear fractional differential equations, and will overcome the limitations of these methods. The obtained numerical results show good agreement with those of analytical solutions. The fractional derivatives are described in Caputo sense.