Modified Homotopy Analysis Method for Zakharov-Kuznetsov Equations

In this paper, we apply Modified Homotopy Analysis Method (MHAM) to find appropriate solutions to Zakharov-Kuznetsov equations, which are of utmost importance in applied and engineering sciences. The proposed modification is an elegant coupling of the Homotopy Analysis Method (HAM) and Taylor’s series. Numerical results, coupled with graphical representation, explicitly reveal the complete reliability of the proposed algorithm.