Travelling wave solutions of the generalized Zakharov-Kuznetsov equation via the extended generalized Riccati equation mapping method

  • Authors

    • Olusola Tosin Kolebaje Department of Physics, Adeyemi College of Education, Ondo, Nigeria.
    • Pelumi Akinyemi Department of Physics, Adeyemi College of Education, Ondo, Nigeria.
    • Michael Obende Department of Physics, Afe Babalola University, Ado Ekiti, Nigeria.
    2013-02-25
    https://doi.org/10.14419/ijams.v1i1.668

  • Abstract

    Exact hyperbolic, trigonometric and rational travelling wave solutions to the (2+1)-dimensional Generalized Zakharov-Kuznetsov (GZK) equation via the extended generalized Riccati equation mapping method are presented in this paper. The twenty one travelling wave solutions obtained were verified by putting them back into the GZK equation with the aid of Mathematica. This shows that the extended generalized Riccati equation mapping method is a powerful tool for finding exact solution to nonlinear partial differential equations in physics, mathematics and other applications.

    Author Biographies

    • Olusola Tosin Kolebaje, Department of Physics, Adeyemi College of Education, Ondo, Nigeria.
      Department of Physics, Adeyemi College of Education, Ondo, Nigeria.
    • Pelumi Akinyemi, Department of Physics, Adeyemi College of Education, Ondo, Nigeria.
      Department of Physics, Adeyemi College of Education, Ondo, Nigeria.
    • Michael Obende, Department of Physics, Afe Babalola University, Ado Ekiti, Nigeria.
      Department of Physics, Afe Babalola University, Ado Ekiti, Nigeria.

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  • How to Cite

    Kolebaje, O. T., Akinyemi, P., & Obende, M. (2013). Travelling wave solutions of the generalized Zakharov-Kuznetsov equation via the extended generalized Riccati equation mapping method. International Journal of Advanced Mathematical Sciences, 1(1), 1-7. https://doi.org/10.14419/ijams.v1i1.668