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Group classification of systems of diffusion equations
Authors:Stavros Kontogiorgis  Christodoulos Sophocleous
Institution:Department of Mathematics and Statistics, University of Cyprus, Nicosia CY 1678, Cyprus
Abstract:Group classification of a class of systems of diffusion equations is carried out. Arbitrary elements that appear in the system depend on two variables. All forms of the arbitrary elements that provide additional Lie symmetries are determined. Equivalence transformations are used to simplify the analysis. Examples of similarity reductions are presented. Copyright © 2016 John Wiley & Sons, Ltd.
Keywords:systems of diffusion equations  Lie symmetry  group classification  equivalence group  similarity reductions
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