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New variable separation solutions to the (2 + 1)-dimensional Burgers equation

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  • Yang, Lijuan
  • Du, Xianyun
  • Yang, Qiongfen

Abstract

In this paper, by using the simplest equation–Riccati equation and variable separation method, new exact solutions of (2 + 1)-dimensional Burgers equation are obtained. Based on the arbitrary function in the solutions, we also get various forms of the solutions, and some local soliton structure are discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:273:y:2016:i:c:p:1271-1275
    DOI: 10.1016/j.amc.2014.12.119
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    References listed on IDEAS

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    1. Kudryashov, Nikolai A., 2005. "Simplest equation method to look for exact solutions of nonlinear differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1217-1231.
    2. Kong, Fanli & Chen, Shoudong, 2006. "New exact soliton-like solutions and special soliton-like structures of the (2+1) dimensional Burgers equation," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 495-500.
    3. 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.
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