Working Paper Article Version 1 This version is not peer-reviewed

Exact Solutions of A Mathematical Model Describing Competition and Co-existence of Different Language Speakers

Version 1 : Received: 18 December 2019 / Approved: 19 December 2019 / Online: 19 December 2019 (08:43:29 CET)

How to cite: Cherniha, R.; Davydovych, V. Exact Solutions of A Mathematical Model Describing Competition and Co-existence of Different Language Speakers. Preprints 2019, 2019120254 Cherniha, R.; Davydovych, V. Exact Solutions of A Mathematical Model Describing Competition and Co-existence of Different Language Speakers. Preprints 2019, 2019120254

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

Subject Areas

reaction-diffusion system; lie symmetry; exact solution; traveling front; community of language speakers

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