Shock Wave Solution for a Nonlinear Partial Differential Equation Arising in the Study of a Non-Newtonian Fourth Grade Fluid Model

Abstract EN

This study focuses on obtaining a new class of closed-form shock wave solution also known as soliton solution for a nonlinear partial differential equation which governs the unsteady magnetohydrodynamics (MHD) flow of an incompressible fourth grade fluid model.

The travelling wave symmetry formulation of the model leads to a shock wave solution of the problem.

The restriction on the physical parameters of the flow problem also falls out naturally in the course of derivation of the solution.