Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system. - Roman Cherniha; Vasyl' Davydovych (Math. Comput. Model., 2011)

Exact solutions of the simplified Keller-Segel model. - Roman Cherniha; Maksym Didovych (Commun. Nonlinear Sci. Numer. Simul., 2013)

A mathematical model for fluid-glucose-albumin transport in peritoneal dialysis. - Roman Cherniha; Joanna Stachowska-Pietka; Jacek Waniewski (Int. J. Appl. Math. Comput. Sci., 2014)

Nonlinear reaction-diffusion systems with a non-constant diffusivity: Conditional symmetries in no-go case. - Roman Cherniha; Vasyl' Davydovych (Appl. Math. Comput., 2015)

Lie and Conditional Symmetries of a Class of Nonlinear (1 + 2)-Dimensional Boundary Value Problems. - Roman Cherniha; John R. King (Symmetry, 2015)

Lie symmetry properties of nonlinear reaction-diffusion equations with gradient-dependent diffusivity. - Roman Cherniha; John R. King; Sergii Kovalenko (Commun. Nonlinear Sci. Numer. Simul., 2016)

Exact and Numerical Solutions of a Spatially-Distributed Mathematical Model for Fluid and Solute Transport in Peritoneal Dialysis. - Roman Cherniha; Kateryna Gozak; Jacek Waniewski (Symmetry, 2016)

Lie symmetries of the shigesada-Kawasaki-Teramoto system. - Roman Cherniha; Vasyl' Davydovych; Liliia Muzyka (Commun. Nonlinear Sci. Numer. Simul., 2017)

A (1 + 2)-Dimensional Simplified Keller-Segel Model: Lie Symmetry and Exact Solutions. II. - Roman Cherniha; Maksym Didovych (Symmetry, 2017)

Lie Symmetries of Nonlinear Parabolic-Elliptic Systems and Their Application to a Tumour Growth Model. - Roman Cherniha; Vasyl' Davydovych; John R. King (Symmetry, 2018)

Lie and Q-Conditional Symmetries of Reaction-Diffusion-Convection Equations with Exponential Nonlinearities and Their Application for Finding Exact Solutions. - Roman Cherniha; Mykola Serov; Oleksii Pliukhin (Symmetry, 2018)

Lie symmetries, reduction and exact solutions of the (1+2)-dimensional nonlinear problem modeling the solid tumour growth. - Roman Cherniha; Vasyl' Davydovych (Commun. Nonlinear Sci. Numer. Simul., 2020)

Exact Solutions of a Mathematical Model Describing Competition and Co-Existence of Different Language Speakers. - Roman Cherniha; Vasyl' Davydovych (Entropy, 2020)

Comments on the Paper "Lie Symmetry Analysis, Explicit Solutions, and Conservation Laws of a Spatially Two-Dimensional Burgers-Huxley Equation". - Roman Cherniha (Symmetry, 2020)

A Mathematical Model for the COVID-19 Outbreak and Its Applications. - Roman Cherniha; Vasyl' Davydovych (Symmetry, 2020)

A Mathematical Model for Transport in Poroelastic Materials with Variable Volume: Derivation, Lie Symmetry Analysis, and Examples. - Roman Cherniha; Joanna Stachowska-Pietka; Jacek Waniewski (Symmetry, 2020)

Comments on the paper "Exact solutions of nonlinear diffusion-convection-reaction equation: A Lie symmetry approach". - Roman Cherniha (Commun. Nonlinear Sci. Numer. Simul., 2021)

A complete Lie symmetry classification of a class of (1+2)-dimensional reaction-diffusion-convection equations. - Roman Cherniha; Mykola Serov; Yulia Prystavka (Commun. Nonlinear Sci. Numer. Simul., 2021)

Construction and application of exact solutions of the diffusive Lotka-Volterra system: A review and new results. - Roman Cherniha; Vasyl' Davydovych (Commun. Nonlinear Sci. Numer. Simul., 2022)

A Mathematical Model for Transport in Poroelastic Materials with Variable Volume: Derivation, Lie Symmetry Analysis and Examples - Part 2. - Roman Cherniha; Vasyl' Davydovych; Joanna Stachowska-Pietka; Jacek Waniewski (Symmetry, 2022)

The Shigesada-Kawasaki-Teramoto model: Conditional symmetries, exact solutions and their properties. - Roman Cherniha; Vasyl' Davydovych; John R. King (Commun. Nonlinear Sci. Numer. Simul., 2023)

Reaction-Diffusion Equations in Mathematical Models Arising in Epidemiology. - Vasyl' Davydovych; Vasyl' Dutka; Roman Cherniha (Symmetry, 2023)

A mathematical model for two solutes transport in a poroelastic material and its applications. - Roman Cherniha; Joanna Stachowska-Pietka; Jacek Waniewski (Commun. Nonlinear Sci. Numer. Simul., 2024)