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 used in the form of modified Riemann-Liouville derivatives. Complex fractional transformation is applied for transforming the nonlinear partial differential equation into another nonlinear ordinary differential equation. Exact solutions are obtained by using modified simple equation method and 1⁄G' -expansion method. Obtained solutions are new and may be of significant importance in the field of plasma physics to investigate the waves in the magnetized plasma and in the dust plasma.

Keywords

• Modified Riemann-Liouville derivatives,Complex fractional transformation,Modified simple equation method,1⁄G' - expansion method,Zakharov-Kuznetsov equation.

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