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New Exact Solutions for a Higher-Order Wave Equation of KdV Type Using Extended F-Expansion Method

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  • Yinghui He
  • Yun-Mei Zhao
  • Yao Long

Abstract

The F-expansion method is used to find traveling wave solutions to various wave equations. By giving more solutions of the general subequation, an extended F-expansion method is introduced by Emmanuel. In our work, a generalized KdV type equation of neglecting the highest-order infinitesimal term, which is an important water wave model, is discussed by using the extended F-expansion method. And when the parameters satisfy certain relations, some new exact solutions expressed by Jacobi elliptic function, hyperbolic function, and trigonometric function are obtained. The related results are enriched.

Suggested Citation

  • Yinghui He & Yun-Mei Zhao & Yao Long, 2013. "New Exact Solutions for a Higher-Order Wave Equation of KdV Type Using Extended F-Expansion Method," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-8, December.
    • Handle: RePEc:hin:jnlmpe:128970
    DOI: 10.1155/2013/128970
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