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The Improved Generalized tanh-coth Method Applied to Sixth-Order Solitary Wave Equation

Author

Listed:
  • M. Torvattanabun
  • J. Simmapim
  • D. Saennuad
  • T. Somaumchan

Abstract

The improved generalized tanh-coth method is used in nonlinear sixth-order solitary wave equation. This method is a powerful and advantageous mathematical tool for establishing abundant new traveling wave solutions of nonlinear partial differential equations. The new exact solutions consisted of trigonometric functions solutions, hyperbolic functions solutions, exponential functions solutions, and rational functions solutions. The numerical results were obtained with the aid of Maple.

Suggested Citation

  • M. Torvattanabun & J. Simmapim & D. Saennuad & T. Somaumchan, 2017. "The Improved Generalized tanh-coth Method Applied to Sixth-Order Solitary Wave Equation," Journal of Mathematics, Hindawi, vol. 2017, pages 1-11, July.
    • Handle: RePEc:hin:jjmath:8751097
    DOI: 10.1155/2017/8751097
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