Abstract

Group Properties of Systems of Nonlinear Diffusion Equations with a Small Parameter

A.Gladkov (Ufa State Aviation Technical University, Ufa, Russia)

e-mail: gladkov@math.ugatu.ac.ru.

In this paper attention will focus on system of (1+1) nonlinear diffusion equations with a small parameter. This work is a continuation of investigations, where point symmetries

of coupled diffusion equation in (1+1), (1+2) and (1+3) dimentional cases as well as systems with source terms were analysed. Since, the full group classification analysis of the system equation is very complicated problem, we consider extentions of Lie principal algebra only with special anzats for coordinates of admitted operators. The obtained results are used for constructing of invariant solutions.

Section : 12