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

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  • Taha Aziz
  • A. Fatima
  • F. M. Mahomed

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.

Suggested Citation

  • Taha Aziz & A. Fatima & F. M. Mahomed, 2013. "Shock Wave Solution for a Nonlinear Partial Differential Equation Arising in the Study of a Non-Newtonian Fourth Grade Fluid Model," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-5, May.
  • Handle: RePEc:hin:jnlmpe:573170
    DOI: 10.1155/2013/573170
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