Analytical properties and exact solutions of the Lotka-Volterra competition system

被引：9
|
作者：
Kudryashov, Nikolay A. [1 ]
Zakharchenko, Anastasia S. [1 ]
机构：
[1] Natl Res Nucl Univ MEPHI, Dept Appl Math, Moscow 115409, Russia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 254卷
基金：
俄罗斯科学基金会;
关键词：
Lotka-Volterra competition system; Exact solution; Nonlinear differential equation; System of equations; Reaction-diffusion equations; Logistic-function method; TRAVELING-WAVE SOLUTIONS; NONLINEAR DIFFERENTIAL-EQUATIONS; KURAMOTO-SIVASHINSKY EQUATION; LINEAR EVOLUTION-EQUATIONS; QUASI-EXACT SOLUTIONS; DIFFUSION EQUATIONS; SIMPLEST EQUATION; NONLOCAL DELAYS; P-TYPE; EXISTENCE;
D O I：
10.1016/j.amc.2014.12.113
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Lotka-Volterra competition system with diffusion is considered. The Painleve 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. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：219 / 228
页数：10
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