Studies on Travelling Wave Solutions for Three Dimensional Incompressible MHD Equations

Abstract

In this paper, the solutions of three dimensional incompressible magnetohydrodynamics (MHD) equations are obtained by using sin (k\(\mathrm{\xi}\))- cos (k\(\mathrm{\xi}\))(\(\mathrm{\xi}\)=\(\mathrm{\xi}\)(x,y,z,t),k\(\geq\)0) method and Riccati auxiliary equation. This paper obtains the soliton solutions by the aid of software Mathematica. These stabilized soliton solutions are focused at incompressible fluids and the main technological applications in mind are those related with material processing techniques.