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


  • R. Yulita Science Publishing Corporation, Greifswalder Platz 7, 28239 Bremen, Germany
  • Belal Batiha
  • "Mohd Taib" Shatnawi





Fractional complex transform, Variational iteration method, Fractional Zakharov–Kuznetsov equations.


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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