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

Taha Aziz, A. Fatima and F. M. Mahomed

Mathematical Problems in Engineering, 2013, vol. 2013, 1-5

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:573170

DOI: 10.1155/2013/573170

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