Different methods for (3+1)(3+1)-dimensional space–time fractional modified KdV–Zakharov–Kuznetsov equation

In this paper, the fractional derivatives in the sense of modified Riemann–Liouville derivative and the exp-function method, the (G′G)-expansion method and the generalized Kudryashov method are used to construct exact solutions for (3+1)(3+1)-dimensional space–time fractional modified KdV–Zakharov–Kuznetsov equation. This fractional equation can be turned into another nonlinear ordinary differential equation by fractional complex transformation and then these three methods are applied to solve it. As a result, some new exact solutions are obtained. The three methods demonstrate power, reliability and efficiency.