Time-Fractional Nonlinear Dispersive Type of the Zakharov-Kuznetsov Equation via HAFSTM

摘要

In this paper, a semi-analytic solution of time-fractional nonlinear dispersive type of the Zakharov-Kuznetsov (ZK) equations is obtained by the means of homotopy analysis fractional Sumudu transform method. Several examples are evaluated and compared with exact solutions to show the effectiveness of arbitrary order of ZK equations. The results demonstrate that the method is highly reliable and convenient to apply and evaluate without restrictions like finite domain, finite discretization or perturbation of small and large physical parameters.