Painlevé analysis and exact solutions of the nonlinear diffusion equation with a polynomial source

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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Veröffentlicht in:	Mathematical methods in the applied sciences 2016-02, Vol.39 (3), p.488-497
Hauptverfasser:	Kudryashov, Nikolay A., Gaiur, Ilya Y.
Format:	Artikel
Sprache:	eng
Schlagworte:	Diffusion Exact solutions Mathematical analysis nonlinear diffusion equation Nonlinearity Painlevé analysis polynomial source Polynomials Traveling waves
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description	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.
doi_str_mv	10.1002/mma.3497
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subjects	Diffusion Exact solutions Mathematical analysis nonlinear diffusion equation Nonlinearity Painlevé analysis polynomial source Polynomials Traveling waves
title	Painlevé analysis and exact solutions of the nonlinear diffusion equation with a polynomial source
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