Diffusive Lotka-Volterra system: Lie symmetries and exact and numerical solutions

被引：0
作者：
Cherniha R.M. [1 ]
Dutka V.A. [2 ]
机构：
[1] Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv
[2] Institute of Superhard Materials, Ukrainian National Academy of Sciences, Kyiv
来源：
Ukrainian Mathematical Journal | 2004年 / 56卷 / 10期
关键词：
Exact Solution; Neumann Condition;
D O I：
10.1007/s11253-005-0142-6
中图分类号：
学科分类号：
摘要：
We present a complete description of Lie symmetries for the nonlinear diffusive Lotka-Volterra system. The results are used for the construction of exact solutions of the Lotka-Volterra system, which, in turn, are used for solving the corresponding nonlinear boundary-value problems with zero Neumann conditions. The analytic results are compared with the results of computation based on the finite-element method. We conclude that the obtained exact solutions play an important role in solving Neumann boundary-value problems for the Lotka-Volterra system. © 2005 Springer Science+Business Media, Inc.
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页码：1665 / 1675
页数：10
相关论文
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