New exact solutions of nonlinear reaction-diffusion equations

The method of additional generating conditions for obtaining new exact solutions of nonlinear evolution equations (see [16]) is further developed. Using this method, some new non-Lie ansنtze and exact solutions are obtained for two classes of reaction-diffusion equations with the power and exponential nonlinearities, which describe real processes in physics, chemistry, and biology. An analysis of these solutions and the relation of the proposed method to some similar approaches are presented.