Analytical properties and exact solutions of the Lotka–Volterra competition system
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摘要
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.
论文关键词：Lotka–Volterra competition system,Exact solution,Nonlinear differential equation,System of equations,Reaction–diffusion equations,Logistic-function method
论文评审过程：Available online 21 January 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2014.12.113
