Analytical properties and exact solutions of the Lotka--Volterra competition system
arXiv:1409.6903
Abstract
The Lotka--Volterra competition system with diffusion is considered. The Painlevé 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.
17 pages, 6 figures