Analytical properties and exact solutions of the Lotka--Volterra   competition system
  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. 
Nikolay A. Kudryashov, Anastasia S. Zakharchenko
nlin.SI