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

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  • Jincun Liu
  • Hong Li

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.

Suggested Citation

  • Jincun Liu & Hong Li, 2013. "Approximate Analytic Solutions of Time-Fractional Hirota-Satsuma Coupled KdV Equation and Coupled MKdV Equation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, March.
    • Handle: RePEc:hin:jnlaaa:561980
    DOI: 10.1155/2013/561980
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