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Solutions through nonclassical potential symmetries for a generalized inhomogeneous nonlinear diffusion equation
Author(s) -
Gandarias M. L.,
Bruzón M. S.
Publication year - 2007
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.937
Subject(s) - homogeneous space , mathematics , class (philosophy) , diffusion , nonlinear system , mathematical physics , diffusion equation , mathematical analysis , physics , quantum mechanics , geometry , computer science , artificial intelligence , economy , economics , service (business)
In this paper, we consider a class of generalized diffusion equations which are of great interest in mathematical physics. For some of these equations that model fast diffusion, nonclassical and nonclassical potential symmetries are derived. These symmetries allow us to increase the number of solutions. These solutions are unobtainable neither from classical nor from classical potential symmetries. Copyright © 2007 John Wiley & Sons, Ltd.