Special Session 20: Lie Symmetries, Conservation Laws, and Other Approaches in Solving Nonlinear Differential Equations

Solutions and conservation laws of a (3+1)-dimensional Zakharov-Kuznetsov equation
Letlhogonolo LD Moleleki
North-West University
So Africa
Co-Author(s):    B. Muatjetjeja, A.R. Adem
Abstract:
In this talk, 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.