Solitary wave solution of Zakharov-Kuznetsov equation
Noor A. Hussein, L. N. M. Tawfiq
Abstract
This article presents an exact analysis solitary wave solution for types of (2+1) dimensional differential equations by using efficient approach based decomposition method to overcome the computational difficulties. Convergence of series solution has been discussed with three illustrated examples, and the method has shown a high-precision, fast approach to solve non-linear (2+1) dimensional Zakharov-Kuznetsov equation with initial conditions, there is no need any discretization of domain or assumption for a small parameter to be present in the problem. The steps of suggested method are easy implemented, high accuracy and a rapid convergence to the exact solution compared with other methods can be used to solve this type of PDEs.