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Solitary Wave Solutions for a Time-Fraction Generalized Hirota-Satsuma Coupled KdV Equation by a New Analytical Technique

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  • Majid Shateri
  • D. D. Ganji

Abstract

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

Suggested Citation

  • Majid Shateri & D. D. Ganji, 2010. "Solitary Wave Solutions for a Time-Fraction Generalized Hirota-Satsuma Coupled KdV Equation by a New Analytical Technique," International Journal of Differential Equations, Hindawi, vol. 2010, pages 1-11, September.
    • Handle: RePEc:hin:jnijde:954674
    DOI: 10.1155/2010/954674
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