39 citations · 46 across the 2 of their papers we have counts for
2 papers
math-ph2024★ 7 cited
The Shigesada-Kawasaki-Teramoto model: conditional symmetries, exact solutions and their properties
Roman Cherniha, Vasyl' Davydovych, John R. King
We study a simplification of the well-known Shigesada-Kawasaki-Teramoto model, which consists of two nonlinear reaction-diffusion equations with cross-diffusion. A complete set of…
math-ph2015★ 39 cited
Lie symmetry properties of nonlinear reaction-diffusion equations with gradient-dependent diffusivity
R. Cherniha, J. R. King, S. Kovalenko
Complete descriptions of the Lie symmetries of a class of nonlinear reaction-diffusion equations with gradient-dependent diffusivity in one and two space dimensions are obtained. A…