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Abundant families of new traveling wave solutions for the coupled Drinfel’d–Sokolov–Wilson equation

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  • Yao, Yuqin

Abstract

The generalized Jacobi elliptic function method is further improved by introducing an elliptic function ϕ(ξ) as a new independent variable and it is easy to calculate the over-determined equations. Abundant new traveling wave solutions of the coupled Drinfel’d–Sokolov–Wilson equation are obtained. The solutions obtained include the kink-shaped solutions, bell-shaped solutions, singular solutions and periodic solutions.

Suggested Citation

  • Yao, Yuqin, 2005. "Abundant families of new traveling wave solutions for the coupled Drinfel’d–Sokolov–Wilson equation," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 301-307.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:1:p:301-307
    DOI: 10.1016/j.chaos.2004.09.024
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    Cited by:

    1. Wen, Zhenshu, 2020. "The generalized bifurcation method for deriving exact solutions of nonlinear space-time fractional partial differential equations," Applied Mathematics and Computation, Elsevier, vol. 366(C).
    2. He, Ji-Huan, 2005. "Application of homotopy perturbation method to nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 695-700.

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