In this work is shown that even in the case of presence of the double nonlinearity in the equation exists the critical value of parameters, which solution has a character of the solution of the linear equation.
It is noted, if the coefficient of the diffusion is not constant and depends on solutions, then naturally a solution of the system reaction diffusion will powerfully differ from the case of the constant coefficient of diffusion [1].
[1] Aripov M., Sadullaeva Sh.A. To solutions of one nondivergent type parabolic equation with double nonlinearity, Proceedings, ISAAC09-02, pp 592-596.
Abstracts file: | тезис_Новосибирск_2011_niknik.doc |