Roman Cherniha

Orcid: 0000-0002-1733-5240

According to our database1, Roman Cherniha authored at least 23 papers between 2011 and 2024.

Collaborative distances:
  • Dijkstra number2 of six.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
A mathematical model for two solutes transport in a poroelastic material and its applications.
Commun. Nonlinear Sci. Numer. Simul., 2024

2023
Reaction-Diffusion Equations in Mathematical Models Arising in Epidemiology.
Symmetry, November, 2023

The Shigesada-Kawasaki-Teramoto model: Conditional symmetries, exact solutions and their properties.
Commun. Nonlinear Sci. Numer. Simul., September, 2023

2022
A Mathematical Model for Transport in Poroelastic Materials with Variable Volume: Derivation, Lie Symmetry Analysis and Examples - Part 2.
Symmetry, 2022

Construction and application of exact solutions of the diffusive Lotka-Volterra system: A review and new results.
Commun. Nonlinear Sci. Numer. Simul., 2022

2021
A complete Lie symmetry classification of a class of (1+2)-dimensional reaction-diffusion-convection equations.
Commun. Nonlinear Sci. Numer. Simul., 2021

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

2020
A Mathematical Model for Transport in Poroelastic Materials with Variable Volume: Derivation, Lie Symmetry Analysis, and Examples.
Symmetry, 2020

A Mathematical Model for the COVID-19 Outbreak and Its Applications.
Symmetry, 2020

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

Exact Solutions of a Mathematical Model Describing Competition and Co-Existence of Different Language Speakers.
Entropy, 2020

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

2018
Lie and <i>Q</i>-Conditional Symmetries of Reaction-Diffusion-Convection Equations with Exponential Nonlinearities and Their Application for Finding Exact Solutions.
Symmetry, 2018

Lie Symmetries of Nonlinear Parabolic-Elliptic Systems and Their Application to a Tumour Growth Model.
Symmetry, 2018

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

Lie symmetries of the shigesada-Kawasaki-Teramoto system.
Commun. Nonlinear Sci. Numer. Simul., 2017

2016
Exact and Numerical Solutions of a Spatially-Distributed Mathematical Model for Fluid and Solute Transport in Peritoneal Dialysis.
Symmetry, 2016

Lie symmetry properties of nonlinear reaction-diffusion equations with gradient-dependent diffusivity.
Commun. Nonlinear Sci. Numer. Simul., 2016

2015
Lie and Conditional Symmetries of a Class of Nonlinear (1 + 2)-Dimensional Boundary Value Problems.
Symmetry, 2015

Nonlinear reaction-diffusion systems with a non-constant diffusivity: Conditional symmetries in no-go case.
Appl. Math. Comput., 2015

2014
A mathematical model for fluid-glucose-albumin transport in peritoneal dialysis.
Int. J. Appl. Math. Comput. Sci., 2014

2013
Exact solutions of the simplified Keller-Segel model.
Commun. Nonlinear Sci. Numer. Simul., 2013

2011
Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system.
Math. Comput. Model., 2011


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