Solutions through nonclassical potential symmetries for a generalized inhomogeneous nonlinear diffusion equation |
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Authors: | M. L. Gandarias M. S. Bruzón |
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Affiliation: | Departamento de Matemáticas, Universidad de Cádiz, P.O. Box 40, 11510 Puerto Real, Cádiz, Spain |
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Abstract: | 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. |
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Keywords: | nonclassical potential symmetries partial differential equations |
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