1 citations · 2 across the 5 of their papers we have counts for
5 papers
Multidimensional parabolic equations with a logarithmic nonlinearity admitting exceptional Lie symmetries
Roman Cherniha, John R. King
Nonlinear reaction-diffusion equations arise in a very wide range of applications. Here we address a specific multidimensional class in which the source term is non-autonomous in t…
A reaction-diffusion system with nonconstant diffusion coefficients: exact and numerical solutions
Roman Cherniha, Galyna Kriukova
A Lotka-Volterra type system with porous diffusion, which can be used as an alternative model to the classical Lotka-Volterra system, is under study. Multiparameter families of exa…
Nonlinear systems of PDEs admitting infinite-dimensional Lie algebras and their connection with Ricci flows. II: The two-dimensional space case
Roman Cherniha, John R. King
The work is a natural continuation of that published in Stud Appl Math. 2024; 153:e12737. All possible two-components evolutions systems of (1+2)-dimensional second-order PDEs admi…
Comments on the paper `Modelling and nonclassical symmetry analysis of a complex porous media flow in a dilating channel'
Roman Cherniha
The Comments are devoted to the recently published paper 'Modelling and nonclassical symmetry analysis of a complex porous media flow in a dilating channel' (Physica D. 481 (2025)…
Comments on the paper "Derivation of lump solutions to a variety of Boussinesq equations with distinct dimensions."
Roman Cherniha
The Comments are devoted to the paper 'Derivation of lump solutions to a variety of Boussinesq equations with distinct dimensions' (Int J Numer Methods Heat Fluid Flow. 2022;32:307…