EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 94(108), pp. 81–90 (2013)

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GROUP CLASSIFICATION OF VARIABLE COEFFICIENT QUASILINEAR REACTION-DIFFUSION EQUATIONS

Olena Vaneeva, Alexander Zhalij

Department of Applied Research, Institute of Mathematics of NAS of Ukraine, Kiev, Ukraine

Abstract: The group classification of variable coefficient quasilinear reaction-diffusion equations $u_t=u_{xx}+h(x)B(u)$ is carried out exhaustively. This became possible due to usage of a conditional equivalence group found in the course of the study of admissible point transformations within the class.

Keywords: group classification, reaction-diffusion equations, Lie symmetry, admissible transformations, equivalence transformations

Classification (MSC2000): 35A30; 35K57

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Electronic fulltext finalized on: 8 Nov 2013. This page was last modified: 22 Nov 2013.

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