24 citations · 180 across the 21 of their papers we have counts for
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math-ph2016★ 16 cited
Lie symmetries of the Shigesada-Kawasaki-Teramoto system
Roman Cherniha, Vasyl' Davydovych, Liliia Muzyka
The Shigesada-Kawasaki-Teramoto system, which consists of two reaction-diffusion equations with variable cross-diffusion and quadratic nonlinearities, is considered. The system is…
math-ph2016★ 10 cited
Nonlinear reaction-diffusion systems with a non-constant diffusivity: conditional symmetries in no-go case
Roman Cherniha, Vasyl' Davydovych
Q-conditional symmetries (nonclassical symmetries) for a general class of two-component reaction-diffusion systems with non-constant diffusivities are studied. The work is a natura…
math-ph2016★ 16 cited
Conditional symmetries and exact solutions of nonlinear reaction-diffusion systems with non-constant diffusivities
Roman Cherniha, Vasyl' Davydovych
Q-conditional symmetries (nonclassical symmetries) for the general class of two-component reaction-diffusion systems with non-constant diffusivities are studied. Using the recently…