Analytical properties and exact solutions of the Lotka--Volterra competition system
Exactly Solvable and Integrable Systems
2014-09-25 v1
Abstract
The Lotka--Volterra competition system with diffusion is considered. The Painlev\'e property of this system is investigated. Exact traveling wave solutions of the Lotka--Volterra competition system are found. Periodic solutions expressed in terms of the Weierstrass elliptic function are also given.
Keywords
Cite
@article{arxiv.1409.6903,
title = {Analytical properties and exact solutions of the Lotka--Volterra competition system},
author = {Nikolay A. Kudryashov and Anastasia S. Zakharchenko},
journal= {arXiv preprint arXiv:1409.6903},
year = {2014}
}
Comments
17 pages, 6 figures