Solutions and conservation laws of a (3+1)-dimensional Zakharov-Kuznetsov equation

Abstract

In this paper, we study a nonlinear evolution partial differential equation, namely the (3+1)-dimensional Zakharov-Kuznetsov equation. Kudryashov method together with Jacobi elliptic function method is used to obtain the exact solutions of the (3+1)-dimensional Zakharov-Kuznetsov equation. Furthermore, the conservation laws of the (3+1)-dimensional Zakharov-Kuznetsov equation are obtained by using the multiplier method.