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New exact Jacobi elliptic function solutions for some nonlinear evolution equations

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  • Zhang, Huiqun

Abstract

By using the Jacobi elliptic function solutions of an auxiliary ordinary differential equation, a direct algebraic method is described to construct the exact travelling wave solutions for nonlinear evolution equations. By this method some nonlinear evolution equations are investigated and new Jacobi elliptic function solutions are explicitly obtained with the aid of symbolic computation.

Suggested Citation

  • Zhang, Huiqun, 2007. "New exact Jacobi elliptic function solutions for some nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 653-660.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:2:p:653-660
    DOI: 10.1016/j.chaos.2005.11.015
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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. 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.
    2. Jang, Bongsoo, 2009. "New exact travelling wave solutions of nonlinear Klein–Gordon equations," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 646-654.
    3. Helal, M.A. & Seadawy, A.R. & Zekry, M.H., 2014. "Stability analysis of solitary wave solutions for the fourth-order nonlinear Boussinesq water wave equation," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1094-1103.

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