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2010 Solitary Wave Solutions for a Time-Fraction Generalized Hirota-Satsuma Coupled KdV Equation by a New Analytical Technique
Majid Shateri, D. D. Ganji
Int. J. Differ. Equ. 2010(SI1): 1-11 (2010). DOI: 10.1155/2010/954674

Abstract

A new iterative technique is employed to solve a system of nonlinear fractionalpartial differential equations. This new approach requires neither Lagrange multiplier likevariational iteration method (VIM) nor polynomials like Adomian's decomposition method (ADM)so that can be more easily and effectively established for solving nonlinear fractional differentialequations, and will overcome the limitations of these methods. The obtained numerical results showgood agreement with those of analytical solutions. The fractional derivatives are described inCaputo sense.

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Majid Shateri. D. D. Ganji. "Solitary Wave Solutions for a Time-Fraction Generalized Hirota-Satsuma Coupled KdV Equation by a New Analytical Technique." Int. J. Differ. Equ. 2010 (SI1) 1 - 11, 2010. https://doi.org/10.1155/2010/954674

Information

Received: 17 May 2009; Accepted: 7 July 2009; Published: 2010
First available in Project Euclid: 26 January 2017

zbMATH: 1206.35248
MathSciNet: MR2557327
Digital Object Identifier: 10.1155/2010/954674

Rights: Copyright © 2010 Hindawi

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