Abstract: Analysis is carried out to study the existence, uniqueness and behavior of exact solutions of the fourth order nonlinear coupled ordinary differential equations arising in the flow and heat transfer of a viscoelastic, electrically conducting fluid past a continuously stretching sheet. The ranges of the parametric values are obtained for which the system has a unique pair of solutions, a double pair of solutions and infinitely many solutions.

Key words: Viscoelastic fluid, Stretching sheet, MHD flow, Heat transfer, Nonlinear systems, Existence, Uniqueness

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