Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system

被引：25
作者：
Cherniha, Roman [1 ,2 ]
Davydovych, Vasyl' [1 ]
机构：
[1] Ukrainian Natl Acad Sci, Inst Math, UA-01601 Kiev, Ukraine
[2] Natl Univ Kyiv Mohyla Acad, Dept Math, UA-04070 Kiev, Ukraine
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 54卷 / 5-6期
关键词：
Diffusive Lotka-Volterra system; Reaction-diffusion system; Lie symmetry; Q-conditional symmetry; Non-classical symmetry; Exact solution; NONCLASSICAL SYMMETRIES; CONVECTION EQUATIONS; EVOLUTION-EQUATIONS; LIE SYMMETRIES; ANSATZE;
D O I：
10.1016/j.mcm.2011.03.035
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Q-conditional symmetries of the classical diffusive Lotka-Volterra system in the case of one space variable are completely described and a set of such symmetries in explicit form is constructed. The relevant non-Lie ansatz to reduce the diffusive Lotka-Volterra systems with correctly specified coefficients to ODE systems and examples of new exact solutions are found. A possible biological interpretation of some exact solutions is presented. (C) 2011 Elsevier Ltd. All rights reserved.
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收藏
页码：1238 / 1251
页数：14
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