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The extended Fan sub-equation method and its applications for a class of nonlinear evolution equations

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  • El-Wakil, S.A.
  • Abdou, M.A.

Abstract

The extended Fan sub-equation method with a computerized symbolic is used to construct the exact travelling wave solutions for a class of nonlinear evolution equations in mathematical physics. The key idea of this method is to take full advantage of general elliptic equations involving five parameters which have more new solutions and whose degeneracies can lead to special sub equation involving three parameters like Riccati equation, first kind elliptic equation, auxiliary ordinary equation, and generalized Riccati equation.

Suggested Citation

  • El-Wakil, S.A. & Abdou, M.A., 2008. "The extended Fan sub-equation method and its applications for a class of nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 343-353.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:2:p:343-353
    DOI: 10.1016/j.chaos.2006.06.065
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    References listed on IDEAS

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    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.
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