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A new Riccati equation rational expansion method and its application to (2+1)-dimensional Burgers equation

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  • Wang, Qi
  • Chen, Yong
  • Zhang, Hongqing

Abstract

In this paper, we present a new Riccati equation rational expansion method to uniformly construct a series of exact solutions for nonlinear evolution equations. Compared with most existing tanh methods and other sophisticated methods, the proposed method not only recover some known solutions, but also find some new and general solutions. The solutions obtained in this paper include rational triangular periodic wave solutions, rational solitary wave solutions and rational wave solutions. The efficiency of the method can be demonstrated on (2+1)-dimensional Burgers equation.

Suggested Citation

  • Wang, Qi & Chen, Yong & Zhang, Hongqing, 2005. "A new Riccati equation rational expansion method and its application to (2+1)-dimensional Burgers equation," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1019-1028.
    • Handle: RePEc:eee:chsofr:v:25:y:2005:i:5:p:1019-1028
    DOI: 10.1016/j.chaos.2005.01.039
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    Cited by:

    1. Wang, Deng-Shan & Li, Hong-Bo & Wang, Jike, 2008. "The novel solutions of auxiliary equation and their application to the (2+1)-dimensional Burgers equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 374-382.

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