MEFM For Exact Solutions Of The (3+1) Dimensional KZK Equation and (3+1) Dimensional JM Equation

Abstract

In this study, we have applied the modified exp(−Ω(ξ))-expansion function method (MEFM) to obtainthe exact travelling wave solutions for the (3+1) dimensional Khokhlov–Zabolotskaya–Kuznetsov (KZK)equation and (3+1)-dimensional Jimbo-Miwa (JM) equation. Dark soliton solution, dark-bright solitonsolution, hyperbolic function solution and trigonometric function solution of the (3+1) dimensional KZKequation and (3+1)-dimensional JM equation have been found by using this method. After that, wehave scratched the 2D and 3D graphs for all exact solutions obtained in this study by using WolframMathematica 9. Thus, the graphical simulations openly show force of this method.