ANALYTICAL SOLUTION FOR THE ZAKHAROV-KUZNETSOV EQUATIONS BY DIFFERENTIAL TRANSFORM METHOD

This paper presents the approximate analytical solution of a Zakharov-Kuznetsov ZK(m; n; k) equation with the help of the differential transform method (DTM). The DTM method is a powerful and efficient technique for finding solutions of nonlinear equations without the need of a linearization process. In this approach the solution is found in the form of a rapidly convergent series with easily computed components. The two special cases, ZK(2,2,2) and ZK(3,3,3), are chosen to illustrate the concrete scheme of the DTM method in ZK(m; n; k) equations. The results demonstrate reliability and efficiency of the proposed method