NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2015, 6 (6), P. 793-802
An asymptotic analysis of a self-similar solution for the double nonlinear reaction-di usion system
M. Aripov – National University of Uzbekistan named after M. Ulugbek, Tashkent, Uzbekistan; mirsaidaripov@mail.ru
Sh. Sadullaeva – Tashkent University of information technology, Tashkent, Uzbekistan; orif_sh@list.ru
We study the solution for a system of reaction-di usion 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 reactiondi usion system. It is shown that there exist some parameter values for which the e ect 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-di usion system, double nonlinearity, qualitative properties.
PACS 02.30.Ik, 05.45.Yv
DOI 10.17586/2220-8054-2015-6-6-793-802