najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2015-6-6-793-802najo-908Research ArticlePAPERS, PRESENTED AT THE CONFERENCEPAPERS, PRESENTED AT THE CONFERENCEAn asymptotic analysis of a self-similar solution for the double nonlinear reaction-diffusion systemAripovM.

Tashkent

mirsaidaripov@mail.ruSadullaevaSh.

Tashkent

orif_sh@list.ruNational University of Uzbekistan named after M. UlugbekUzbekistanTashkent University of information technologyUzbekistan20151508202566793802Copyright © Aripov M., Sadullaeva S., 20252025Aripov M., Sadullaeva S.Aripov M., Sadullaeva S.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/908

We study the solution for a system of reaction-diffusion 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 reactiondiffusion system. It is shown that there exist some parameter values for which the effect of finite 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.

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The authors declare that there are no conflicts of interest present.