Computational Mathematics and Modeling

, Volume 24, Issue 1, pp 103–113 | Cite as

Exact traveling wave solutions of nonlinear variable-coefficients evolution equations with forced terms using the generalized ( G′/G)-expansion method

  • Elsayed M. E. Zayed
  • Mahmoud A. M. Abdelaziz
Article
First Online:

The exact traveling wave solutions of the nonlinear variable-coefficients Burgers–Fisher equation and the generalized Gardner equation with forced terms can be found in this article using the generalized (G′ G ) -expansion method. As a result, hyperbolic, trigonometric, and rational function solutions with parameters are obtained. When these parameters take special values, the solitary wave solutions are derived from the hyperbolic function solution. It is shown that the proposed method is direct, effective and can be applied to many other nonlinear evolution equations in mathematical physics.

Keywords

nonlinear evolution equations generalized (G′ G ) -expansion method variable-coefficients Burgers–Fisher equation with forced term variable-coefficients generalized Gardner equation with forced term exact solutions 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Elsayed M. E. Zayed
    • 1
  • Mahmoud A. M. Abdelaziz
    • 2
  1. 1.Mathematics Department, Faculty of ScienceZagazig UniversityZagazigEgypt
  2. 2.Mathematics Department, Faculty of ScienceZagazig UniversityZagazigEgypt

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