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2013 Approximate Analytic Solutions of Time-Fractional Hirota-Satsuma Coupled KdV Equation and Coupled MKdV Equation
Jincun Liu, Hong Li
Abstr. Appl. Anal. 2013(none): 1-11 (2013). DOI: 10.1155/2013/561980

Abstract

By introducing the fractional derivative in the sense of Caputo and combining the pretreatment technique to deal with long nonlinear items, the generalized two-dimensional differential transform method is proposed for solving the time-fractional Hirota-Satsuma coupled KdV equation and coupled MKdV equation. The presented method is a numerical method based on the generalized Taylor series expansion which constructs an analytical solution in the form of a polynomial. The numerical results show that the generalized two-dimensional differential transform method is very effective for the fractional coupled equations.

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Jincun Liu. Hong Li. "Approximate Analytic Solutions of Time-Fractional Hirota-Satsuma Coupled KdV Equation and Coupled MKdV Equation." Abstr. Appl. Anal. 2013 1 - 11, 2013. https://doi.org/10.1155/2013/561980

Information

Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1275.65069
MathSciNet: MR3035380
Digital Object Identifier: 10.1155/2013/561980

Rights: Copyright © 2013 Hindawi

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