Reduced Differential Transform Method for (2+1) Dimensional type of the Zakharov-Kuznetsov ZK(n,n) Equations

TL;DR

This paper applies the reduced differential transform method to approximate solutions of (2+1) dimensional Zakharov-Kuznetsov equations, demonstrating its efficiency and simplicity through two example problems.

Contribution

The paper introduces the application of RDTM to (2+1)D Zakharov-Kuznetsov equations, providing a new approach for their numerical solution.

Findings

RDTM effectively approximates solutions of Zakharov-Kuznetsov equations

The method is efficient and simple to implement

Numerical results confirm the accuracy of the approach

Abstract

In this paper, reduced differential transform method (RDTM) is employed to approximate the solutions of (2+1) dimensional type of the Zakharov-Kuznetsov partial differential equations. We apply these method to two examples. Thus, we have obtained numerical solution partial differential equations of Zakharov-Kuznetsov. These examples are prepared to show the efficiency and simplicity of the method.