Symmetry in Nonlinear Mathematical Physics - 2009

Nataliya Ivanova (Institute of Mathematics, Kyiv, Ukraine & University of Cyprus, Nicosia, Cyprus)
Christodoulos Sophocleous (University of Cyprus, Nicosia, Cyprus)

Lie group analysis and exact solutions of systems of diffusion equations

We perform the complete group classification of a class of systems of diffusion equations. The obtained results are used for construction of exact invariant solutions of a system from the given class. Wide classes of exact solutions of semi-coupled systems of diffusion equations are constructed.