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The extended homogeneous balance method and its applications for a class of nonlinear evolution equations

Author

Listed:
  • El-Wakil, S.A.
  • Abulwafa, E.M.
  • Elhanbaly, A.
  • Abdou, M.A.

Abstract

The extended homogeneous balance method with the aid of computer algebraic system Maple, is proposed for seeking the travelling wave solutions for a class of nonlinear evolution equations, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear evolution equations, respectively. Many new exact travelling wave solutions are successfully obtained. The method is straightforward and concise, and it can be also applied to other nonlinear evolution equations.

Suggested Citation

  • El-Wakil, S.A. & Abulwafa, E.M. & Elhanbaly, A. & Abdou, M.A., 2007. "The extended homogeneous balance method and its applications for a class of nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1512-1522.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:5:p:1512-1522
    DOI: 10.1016/j.chaos.2006.03.010
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    Cited by:

    1. Ye, Caier & Zhang, Weiguo, 2011. "New explicit solutions for (2+1)-dimensional soliton equation," Chaos, Solitons & Fractals, Elsevier, vol. 44(12), pages 1063-1069.
    2. Tariq, Kalim U. & Bekir, Ahmet & Nisar, Sana, 2023. "The dynamical structures of the Sharma–Tasso–Olver model in doubly dispersive medium," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    3. Jang, Bongsoo, 2009. "New exact travelling wave solutions of nonlinear Klein–Gordon equations," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 646-654.

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