Approximate analytic solutions of fractional Zakharov-Kuznetsov equations by fractional complex transform

  • Authors

    • R. Yulita Science Publishing Corporation, Greifswalder Platz 7, 28239 Bremen, Germany
    • Belal Batiha
    • "Mohd Taib" Shatnawi
    2016-01-23
    https://doi.org/10.14419/ijamr.v5i1.5759
  • Fractional complex transform, Variational iteration method, Fractional Zakharov–Kuznetsov equations.

  • Abstract

    In this paper, fractional complex transform (FCT) with help of variational iteration method (VIM) is used to obtain numerical and analytical solutions for the fractional Zakharov-Kuznetsov equations. Fractional complex transform (FCT) is proposed to convert fractional Zakharov-Kuznetsov equations to its differential partner and then applied VIM to the new obtained equations. Several examples are given and the results are compared to exact solutions. The results reveal that the method is very effective and simple.

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  • How to Cite

    Yulita, R., Batiha, B., & Shatnawi, "Mohd T. (2016). Approximate analytic solutions of fractional Zakharov-Kuznetsov equations by fractional complex transform. International Journal of Applied Mathematical Research, 5(1), 24-28. https://doi.org/10.14419/ijamr.v5i1.5759

    Received date: 2016-01-12

    Accepted date: 2016-01-12

    Published date: 2016-01-23