NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2015, 6 (6), P. 793-802
An asymptotic analysis of a self-similar solution for the double nonlinear reaction-diusion system
M. Aripov – National University of Uzbekistan named after M. Ulugbek, Tashkent, Uzbekistan; email@example.com
Sh. Sadullaeva – Tashkent University of information technology, Tashkent, Uzbekistan; firstname.lastname@example.org
We study the solution for a system of reaction-diusion equations with double nonlinearity in the presence of a source. A self-similar approach is used for the treatment of qualitative properties of a nonlinear reactiondiusion system. It is shown that there exist some parameter values for which the eect of nite velocity of perturbation of distribution (FSPD), localization of solution, onside localization can occur. The problem for choosing the appropriate initial approximation for the iteration process used in numerical analysis is solved.
Keywords: reaction-diusion system, double nonlinearity, qualitative properties.
PACS 02.30.Ik, 05.45.Yv