Cherniha, R.; Davydovych, V. Exact Solutions of a Mathematical Model Describing Competition and Co-Existence of Different Language Speakers. Entropy2020, 22, 154.
Cherniha, R.; Davydovych, V. Exact Solutions of a Mathematical Model Describing Competition and Co-Existence of Different Language Speakers. Entropy 2020, 22, 154.
Cherniha, R.; Davydovych, V. Exact Solutions of a Mathematical Model Describing Competition and Co-Existence of Different Language Speakers. Entropy2020, 22, 154.
Cherniha, R.; Davydovych, V. Exact Solutions of a Mathematical Model Describing Competition and Co-Existence of Different Language Speakers. Entropy 2020, 22, 154.
Abstract
The known three-component reaction-diffusion system modeling competition and co-existence of different language speakers is under study. A modification of this system is proposed, which is examined by Lie symmetry method; furthermore exact solutions in the form of traveling fronts are constructed and their properties are identified. Plots of the traveling fronts are presented and the relevant interpretation describing the language shift occurred in Ukraine during the Soviet times is suggested
Keywords
reaction-diffusion system; lie symmetry; exact solution; traveling front; community of language speakers
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
