24 citations · 40 across the 4 of their papers we have counts for
Showing nlin.PSShow all
2 papers · 1 filter
nlin.PS2020★ 5 cited
Exact solutions of a mathematical model describing competition and co-existence of different language speakers
Roman Cherniha, Vasyl' Davydovych
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,…
nlin.PS2020
A reaction-diffusion system with cross-diffusion: Lie symmetry, exact solutions and their applications in the pandemic modeling
Roman Cherniha, Vasyl' Davydovych
A nonlinear reaction-diffusion system with cross-diffusion describing the COVID-19 outbreak is studied using the Lie symmetry method. A complete Lie symmetry classification is deri…