Abstract and Applied Analysis

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

Jincun Liu and Hong Li

Full-text: Open access

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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 561980, 11 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511793

Digital Object Identifier
doi:10.1155/2013/561980

Mathematical Reviews number (MathSciNet)
MR3035380

Zentralblatt MATH identifier
1275.65069

Citation

Liu, Jincun; Li, Hong. Approximate Analytic Solutions of Time-Fractional Hirota-Satsuma Coupled KdV Equation and Coupled MKdV Equation. Abstr. Appl. Anal. 2013 (2013), Article ID 561980, 11 pages. doi:10.1155/2013/561980. https://projecteuclid.org/euclid.aaa/1393511793


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