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Exact Solutions to the Sharma‐Tasso‐Olver Equation by Using Improved G′/G‐Expansion Method

Author

Listed:
  • Yinghui He
  • Shaolin Li
  • Yao Long

Abstract

This paper is concerned with a double nonlinear dispersive equation: the Sharma‐Tasso‐Olver equation. We propose an improved G′/G‐expansion method which is employed to investigate the solitary and periodic traveling waves of this equation. As a result, some new traveling wave solutions involving hyperbolic functions, the trigonometric functions, are obtained. When the parameters are taken as special values, the solitary wave solutions are derived from the hyperbolic function solutions, and the periodic wave solutions are derived from the trigonometric function solutions. The improved G′/G‐expansion method is straightforward, concise and effective and can be applied to other nonlinear evolution equations in mathematical physics.

Suggested Citation

  • Yinghui He & Shaolin Li & Yao Long, 2013. "Exact Solutions to the Sharma‐Tasso‐Olver Equation by Using Improved G′/G‐Expansion Method," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:247234
    DOI: 10.1155/2013/247234
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    References listed on IDEAS

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    1. Inan, Ibrahim E. & Kaya, Dogan, 2007. "Exact solutions of some nonlinear partial differential equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 104-115.
    2. Hon, Y.C. & Fan, Engui, 2005. "Uniformly constructing finite-band solutions for a family of derivative nonlinear Schrödinger equations," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 1087-1096.
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