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Painlevé analysis and exact solutions of the nonlinear diffusion equation with a polynomial source
Authors:Nikolay A Kudryashov  Ilya Y Gaiur
Institution:Department of Applied Mathematics, National Research Nuclear University MEPHI, Moscow, Russia
Abstract:Nonlinear diffusion equation with a polynomial source is considered. The Painlevé analysis of equation has been studied. Exact traveling wave solutions in the simplest cases have been found. Copyright © 2015 John Wiley & Sons, Ltd.
Keywords:nonlinear diffusion equation  polynomial source  Painlevé  analysis  exact solutions
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