Painlevé analysis and exact solutions of the nonlinear diffusion equation with a polynomial source |
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| Authors: | Nikolay A. Kudryashov Ilya Y. Gaiur |
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| Affiliation: | Department of Applied Mathematics, National Research Nuclear University MEPHI, Moscow, Russia |
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| 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. |
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| Keywords: | nonlinear diffusion equation polynomial source Painlevé analysis exact solutions |
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