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Soliton-like solutions to the GKdV equation by extended mapping method

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  • Wu, Ranchao
  • Sun, Jianhua

Abstract

In this note, many new exact solutions of the generalized KdV equation, such as rational solutions, periodic solutions like Jacobian elliptic and triangular functions, soliton-like solutions, are constructed by symbolic computation and the extended mapping method, with the auxiliary ordinary equation replaced by a more general one.

Suggested Citation

  • Wu, Ranchao & Sun, Jianhua, 2007. "Soliton-like solutions to the GKdV equation by extended mapping method," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 70-74.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:1:p:70-74
    DOI: 10.1016/j.chaos.2005.09.032
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    1. Zhang, Huiqun, 2005. "New exact travelling wave solutions for some nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 921-925.
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    Cited by:

    1. Li, Bacui & Zhang, Yufeng, 2008. "Explicit and exact travelling wave solutions for Konopelchenko–Dubrovsky equation," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1202-1208.

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