Email this article On Exact Multidimensional Solutions of a Nonlinear System of Reaction–Diffusion Equations
- Authors: Kosov A.A.1, Semenov E.I.1
-
Affiliations:
- Matrosov Institute for System Dynamics and Control Theory, Siberian Branch
- Issue: Vol 54, No 1 (2018)
- Pages: 106-120
- Section: Partial Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154675
- DOI: https://doi.org/10.1134/S0012266118010093
- ID: 154675
Cite item
Open Access
Access granted
Subscription Access
Abstract
We study a nonlinear reaction–diffusion system modeled by a system of two parabolic-type equations with power-law nonlinearities. Such systems describe the processes of nonlinear diffusion in reacting two-component media. We construct multiparameter families of exact solutions and distinguish the cases of blow-up solutions and exact solutions periodic in time and anisotropic in spatial variables that can be represented in elementary functions.
About the authors
A. A. Kosov
Matrosov Institute for System Dynamics and Control Theory, Siberian Branch
Author for correspondence.
Email: kosov_idstu@mail.ru
Russian Federation, Irkutsk, 664033
E. I. Semenov
Matrosov Institute for System Dynamics and Control Theory, Siberian Branch
Email: kosov_idstu@mail.ru
Russian Federation, Irkutsk, 664033
Supplementary files
