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The modified extended Fan’s sub-equation method and its application to (2+1)-dimensional dispersive long wave equation

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  • Yomba, Emmanuel

Abstract

By using a modified extended Fan’s sub-equation method, we have obtained new and more general solutions including a series of non-travelling wave and coefficient function solutions namely: soliton-like solutions, triangular-like solutions, single and combined non-degenerative Jacobi elliptic wave function-like solutions for the (2+1)-dimensional dispersive long wave equation. The most important achievement of this method lies on the fact that, we have succeeded in one move to give all the solutions which can be previously obtained by application of at least four methods (method using Riccati equation, or first kind elliptic equation, or auxiliary ordinary equation, or generalized Riccati equation as mapping equation).

Suggested Citation

  • Yomba, Emmanuel, 2005. "The modified extended Fan’s sub-equation method and its application to (2+1)-dimensional dispersive long wave equation," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 785-794.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:3:p:785-794
    DOI: 10.1016/j.chaos.2005.01.061
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    Cited by:

    1. El-Wakil, S.A. & Abdou, M.A., 2007. "New exact travelling wave solutions using modified extended tanh-function method," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 840-852.
    2. Khani, F., 2009. "Analytic study on the higher order Ito equations: New solitary wave solutions using the Exp-function method," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2128-2134.
    3. Akbar, Yasir & Afsar, Haleem & Abbas, Shahzad & Javed, Muhammad Waqas & Ullah, Najib, 2021. "Dromions for the coupled Maccari’s system in fluid mechanics," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    4. (Benn)Wu, Xu-Hong & He, Ji-Huan, 2008. "EXP-function method and its application to nonlinear equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 903-910.

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