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

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  • Wang, Bao-Dong
  • Song, Li-Na
  • Zhang, Hong-Qing

Abstract

In this paper, we present a new elliptic equation rational expansion method to uniformly construct a series of exact solutions for nonlinear partial differential equations. As an application of the method, we choose the (2+1)-dimensional Burgers equation to illustrate the method and successfully obtain some new and more general solutions.

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  • Wang, Bao-Dong & Song, Li-Na & Zhang, Hong-Qing, 2007. "A new extended elliptic equation rational expansion method and its application to (2+1)-dimensional Burgers equation," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1546-1551.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:5:p:1546-1551
    DOI: 10.1016/j.chaos.2006.03.002
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    Cited by:

    1. Yang, Lijuan & Du, Xianyun & Yang, Qiongfen, 2016. "New variable separation solutions to the (2 + 1)-dimensional Burgers equation," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 1271-1275.

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