Shock Wave Solution for a Nonlinear Partial Differential Equation Arising in the Study of a Non-Newtonian Fourth Grade Fluid Model. (9th May 2013)

• Record Type: Journal Article
• Authors: Aziz, Taha; Fatima, A.; Mahomed, F. M.
• Other Names: Khalique Chaudry Masood Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-05-09
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/573170
• Languages: English
• ISSNs: 1024-123X

Abstract

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.