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Symbolic computation of exact solutions for a nonlinear evolution equation

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  • Liu, Yinping
  • Li, Zhibin
  • Wang, Kuncheng

Abstract

In this paper, by means of the Jacobi elliptic function method, exact double periodic wave solutions and solitary wave solutions of a nonlinear evolution equation are presented. It can be shown that not only the obtained solitary wave solutions have the property of loop-shaped, cusp-shaped and hump-shaped for different values of parameters, but also different types of double periodic wave solutions are possible, namely periodic loop-shaped wave solutions, periodic hump-shaped wave solutions or periodic cusp-shaped wave solutions. Furthermore, periodic loop-shaped wave solutions will be degenerated to loop-shaped solitary wave solutions for the same values of parameters. So do cusp-shaped solutions and hump-shaped solutions. All these solutions are new and first reported here.

Suggested Citation

  • Liu, Yinping & Li, Zhibin & Wang, Kuncheng, 2007. "Symbolic computation of exact solutions for a nonlinear evolution equation," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1173-1180.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:5:p:1173-1180
    DOI: 10.1016/j.chaos.2005.09.055
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