The generalized riccati equation together with the (G' / G) -Expansion method for the (3+1)-dimensional modified KDV-zakharov-kuznetsov equation

Abstract

We construct new exact travelling wave solutions including solitons and periodic solutions of the (3+1)-dimensional modified KdV Zakharov-Kuznetsov equation involving parameter by applying the generalized Riccati equation together with the (G' /G) -expansion method. In addition, in this method, G' = n + lG + mG2 is used, as the auxiliary equation, called the generalized Riccati equation, where l, m and n are arbitrary constants. Further, the solutions are expressed in terms of the hyperbolic function, the trigonometric function and the rational functional form. Moreover, some of obtained traveling wave solutions are presented in the figures with the aid of commercial software Maple.