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New exact travelling wave solutions for some nonlinear evolution equations

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  • Zhang, Huiqun

Abstract

Based on the F-expansion method, a generalized auxiliary ordinary differential equation is suggested. By using some special solutions of the auxiliary ordinary differential equation, some famous equations are investigated and new exact travelling wave solutions are explicitly obtained with the aid of symbolic computation.

Suggested Citation

  • Zhang, Huiqun, 2005. "New exact travelling wave solutions for some nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 921-925.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:3:p:921-925
    DOI: 10.1016/j.chaos.2005.01.035
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    Cited by:

    1. Zhang, Huiqun, 2008. "New exact travelling wave solutions for some nonlinear evolution equations, Part II," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1328-1334.
    2. Yusufoğlu, Elcin & Bekir, Ahmet, 2008. "Exact solutions of coupled nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 842-848.
    3. Zhang, Huiqun, 2007. "New exact Jacobi elliptic function solutions for some nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 653-660.
    4. Zhang, Huiqun, 2009. "New exact travelling wave solutions of nonlinear evolution equation using a sub-equation," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 873-881.
    5. 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.

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