Lie Point and Q-Conditional Symmetries, Exact Solutions, and Conservation Laws for a Reaction–Diffusion System in Mathematical Biology
Abstract
This study investigates the Lie point and Q-conditional symmetries of a classical two-component reaction–diffusion system in one spatial dimension. The symmetry classifications for the reaction–diffusion system and corresponding symmetry reductions are provided. Employing Ibragimov’s method, we construct conservation laws for the governing system, offering insights into its invariant properties. Additionally, by applying symmetry reduction techniques, new exact solutions are obtained. These solutions demonstrate the practical utility of our approach and enhance our understanding of the system’s behavior and characteristics.
Fields of Study & Subjects
Nonlinear Waves and Solitons
Differential Equations and Boundary Problems
Mathematical and Theoretical Epidemiology and Ecology Models
Publication details
- Journal / source
- Mathematical and Computational Applications
- Volume
- 31
- Issue
- 1
- Pages
- 22–22
- Publication date
- 3 February 2026
- Language
- EN