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

页码：219 / 228

页数：10

共 43 条

[1] A CONNECTION BETWEEN NON-LINEAR EVOLUTION-EQUATIONS AND ORDINARY DIFFERENTIAL-EQUATIONS OF P-TYPE .2.
ABLOWITZ, MJ
RAMANI, A
SEGUR, H
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (05) : 1006 - 1015
[2] A CONNECTION BETWEEN NON-LINEAR EVOLUTION-EQUATIONS AND ORDINARY DIFFERENTIAL-EQUATIONS OF P-TYPE .1.
ABLOWITZ, MJ
RAMANI, A
SEGUR, H
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (04) : 715 - 721
[3] Existence and stability of time periodic traveling waves for a periodic bistable Lotka-Volterra competition system
Bao, Xiongxiong
Wang, Zhi-Cheng
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (08) : 2402 - 2435
[4] Cnoidal and snoidal wave solutions to coupled nonlinear wave equations by the extended Jacobi's elliptic function method
Bhrawy, A. H.
Abdelkawy, M. A.
Biswas, Anjan
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (04) : 915 - 925
[5] Solitary wave solution for the generalized Kawahara equation
Biswas, Anjan
[J]. APPLIED MATHEMATICS LETTERS, 2009, 22 (02) : 208 - 210
[6] EXISTENCE AND STABILITY OF TRAVELING WAVE SOLUTIONS OF COMPETITION MODELS - A DEGREE THEORETIC APPROACH
GARDNER, RA
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1982, 44 (03) : 343 - 364
[7] THE SIGN OF THE WAVE SPEED FOR THE LOTKA-VOLTERRA COMPETITION-DIFFUSION SYSTEM
Guo, Jong-Shenq
Lin, Ying-Chih
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (05) : 2083 - 2090
[8] RECENT DEVELOPMENTS ON WAVE PROPAGATION IN 2-SPECIES COMPETITION SYSTEMS
Guo, Jong-Shenq
Wu, Chang-Hong
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2012, 17 (08): : 2713 - 2724
[9] Traveling wave front for a two-component lattice dynamical system arising in competition models
Guo, Jong-Shenq
Wu, Chang-Hong
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (08) : 4357 - 4391
[10] The Minimal Speed of Traveling Fronts for the Lotka-Volterra Competition System
Guo, Jong-Shenq
Liang, Xing
[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2011, 23 (02) : 353 - 363

← 1 2 3 4 5 →