International Journal of Differential Equations

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

Majid Shateri and D. D. Ganji

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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.

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Int. J. Differ. Equ., Volume 2010, Special Issue (2010), Article ID 954674, 11 pages.

Received: 17 May 2009
Accepted: 7 July 2009
First available in Project Euclid: 26 January 2017

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Shateri, Majid; Ganji, D. D. Solitary Wave Solutions for a Time-Fraction Generalized Hirota-Satsuma Coupled KdV Equation by a New Analytical Technique. Int. J. Differ. Equ. 2010, Special Issue (2010), Article ID 954674, 11 pages. doi:10.1155/2010/954674.

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