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A new compound Riccati equations rational expansion method and its application to the (2+1)-dimensional asymmetric Nizhnik–Novikov–Vesselov system

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  • Song, Li-Na
  • Wang, Qi
  • Zhang, Hong-Qing

Abstract

In this paper, based on a new general ansätze and symbolic computation, a new compound Riccati equations rational expansion method is proposed. Being concise and straightforward, it is applied to the (2+1)-dimensional asymmetric Nizhnik–Novikov–Vesselov system. It is shown that more complexiton solutions can be found by this new method. The method can be applied to other nonlinear partial differential equations in mathematical physics.

Suggested Citation

  • Song, Li-Na & Wang, Qi & Zhang, Hong-Qing, 2008. "A new compound Riccati equations rational expansion method and its application to the (2+1)-dimensional asymmetric Nizhnik–Novikov–Vesselov system," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1348-1356.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:5:p:1348-1356
    DOI: 10.1016/j.chaos.2006.09.001
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    Cited by:

    1. Zhang, Kelei & Han, Junqiang, 2015. "Bifurcations of traveling wave solutions for the (2+1)-dimensional generalized asymmetric Nizhnik–Novikov–Veselov equation," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 108-117.

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