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

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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Zusammenfassung: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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.3497