Properties of Self Similar Solutions of Reaction-Diffusion Systems of Quasilinear Equations

In this paper, considered a parabolic system of two quasi linear reaction-diffusion equations with the source and absorption task and the properties of self-similar solutions of a system of quasi linear reaction-diffusion equations for the source and absorption task. Self-similar system of equations is constructed by the method of nonlinear splitting. Estimates of the solutions and the free boundary that arises in this case are found, which makes it possible to choose suitable initial approximations for each value of the numerical parameters.