A functional realization of sl(3, R) providing minimal Vessiot-Guldberg-Lie algebras of nonlinear second-order ordinary differential equations as proper subalgebras

被引：4

作者：

Campoamor-Stursberg, R. ^{[1
,2
]}

机构：

[1] Univ Complutense Madrid, Fac CC Matemat, Inst Matemat, Plaza Ciencias 3, E-28040 Madrid, Spain

[2] Univ Complutense Madrid, Fac CC Matemat, Dept Geometria & Topol, Plaza Ciencias 3, E-28040 Madrid, Spain

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2016年 / 57卷 / 06期

关键词：

SYSTEMS; SUPERPOSITION;

D O I：

10.1063/1.4954255

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A functional realization of the Lie algebra sl (3, R) as a Vessiot-Guldberg-Lie algebra of second order differential equation (SODE) Lie systems is proposed. It is shown that a minimal Vessiot-Guldberg-Lie algebra LVG is obtained from proper subalgebras of sl (3, R) for each of the SODE Lie systems of this type by particularization of one functional and two scalar parameters of the sl (3, R)-realization. The relation between the various Vessiot-Guldberg-Lie algebras by means of a limiting process in the scalar parameters further allows to define a notion of contraction of SODE Lie systems. Published by AIP Publishing.

引用

页数：14