Approximate Analytic Solutions of Time-Fractional Hirota-Satsuma Coupled KdV Equation and Coupled MKdV Equation

Jincun Liu and Hong Li

Abstract and Applied Analysis, 2013, vol. 2013, 1-11

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:561980

DOI: 10.1155/2013/561980

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