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Painlevé analysis and exact solutions of the nonlinear diffusion equation with a polynomial source
Author(s) -
Kudryashov Nikolay A.,
Gaiur Ilya Y.
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3497
Subject(s) - mathematics , polynomial , nonlinear system , traveling wave , diffusion equation , diffusion , mathematical analysis , exact solutions in general relativity , physics , thermodynamics , economy , quantum mechanics , economics , service (business)
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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