Nonlinear mathematical problems and their solutions are of great importance in solitary waves. In soliton theory, an efficient tool to attain various type of soliton solutions is the Exp-function technique. This paper aims at
finding soliton wave solutions of a viscous incompressible fluid through convergent or divergent channel in the existence of a magnetic field. By an appropriate use of local similarity transformation we obtained an ordinary
differential equation. It is solved by Exp-function technique. It is observed that under discussion technique is user friendly that requires minimum computational work. Also we can extend it for physical problems of different
nature as well.