Lie and conditional symmetries of the three-component diffusive Lotka - Volterra system
Mathematical Physics
2019-09-17 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
Lie and Q-conditional symmetries of the classical three-component diffusive Lotka - Volterra system in the case of one space variable are studied. The group-classification problems for finding Lie symmetries and Q-conditional symmetries of the first type are completely solved. Notably, non-Lie symmetries (Q-conditional symmetry operators) for a multi-component non-linear reaction-diffusion system are constructed for the first time. An example of non-Lie symmetry reduction for solving a biologically motivated problem is presented.
Keywords
Cite
@article{arxiv.1212.6351,
title = {Lie and conditional symmetries of the three-component diffusive Lotka - Volterra system},
author = {Roman Cherniha and Vasyl' Davydovych},
journal= {arXiv preprint arXiv:1212.6351},
year = {2019}
}