Group classification via mapping between classes: an example of semilinear reaction-diffusion equations with exponential nonlinearity

Abstract

The group classification of a class of semilinear reaction-diffusion equations with exponential nonlinearity is carried out using the technique of mapping between classes, which was recently proposed in [O.O. Vaneeva, R.O. Popovych and C. Sophocleous, Acta Appl. Math., doi:10.1007/s10440-008-9280-9, arXiv:0708.3457].