Email this article Multidimensional exact solutions to the reaction-diffusion system with power-law nonlinear terms
- Authors: Kosov A.A.1, Semenov E.I.1
-
Affiliations:
- Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences
- Issue: Vol 58, No 4 (2017)
- Pages: 619-632
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/171308
- DOI: https://doi.org/10.1134/S0037446617040085
- ID: 171308
Cite item
Open Access
Access granted
Subscription Access
Abstract
We study a nonlinear reaction-diffusion system that is modeled by a system of parabolic equations with power-law nonlinear terms. The proposed construction of exact solutions enables us to split the process of finding the components depending on time and the spatial coordinates. We construct multiparametric families of exact solutions in elementary functions. The cases are elaborated of blow-up solutions as well as exact solutions time-periodic but spatially anisotropic.
About the authors
A. A. Kosov
Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences
Author for correspondence.
Email: aakosov@yandex.ru
Russian Federation, Irkutsk
E. I. Semenov
Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences
Email: aakosov@yandex.ru
Russian Federation, Irkutsk
Supplementary files
