Exact Solutions of (n+1)-Dimensional Space-Time Fractional Zakharov-Kuznetsov Equation

Abstract

In this article, we study the (n+1)-dimensional space time fractional Zakharov-Kuznetsov equation for calculating the exact solutions. For this purpose fractional derivative is usedn this article, we study the (n+1)-dimensional space time fractional Zakharov-Kuznetsovin the form of modified Riemann-Liouville derivatives. Complex fractional transformation is applied for transforming the nonlinear partial differential equation into anothernonlinear ordinary differential equation. Exact solutions are obtained by using modifiedsimple equation method and (1⁄G' )-expansion method. Obtained solutions are new andmay be of significant importance in the field of plasma physics to investigate the waves inthe magnetized plasma and in the dust plasma.