Invariants of nonlinear evolution type equations and their exact solutions

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Ngubane, Sizwe Remington

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Abstract

The role of invariants in obtaining exact solutions of di erential equations is reviewed. The examples considered are nonlinear evolution type equations like the Fisher and Fitzhugh-Nagumo equations. Finally, we look directly at an equation (formulated) governing some non-Newtonian uid in a rotating system.

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Student Number : 9701675D - MSc dissertation - School of Mathematics - Faculty of Science

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