Reduction of time-dependent systems admitting a superposition principle

被引：40

作者：

Cariñena, JF ^{[1
]}

Grabowski, J ^{[1
]}

Ramos, A ^{[1
]}

机构：

[1] Univ Zaragoza, Dept Fis Teor, E-50009 Zaragoza, Spain

来源：

ACTA APPLICANDAE MATHEMATICAE | 2001年 / 66卷 / 01期

关键词：

nonlinear superposition; time-dependent systems; equations on Lie groups; Lie reduction theory;

D O I：

10.1023/A:1010743114995

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem of differential equation systems admitting a nonlinear superposition principle is analyzed from a geometric perspective. We show how it is possible to reduce the problem of finding the general solution of such a differential equation system defined by a Lie group G to a pair of simpler problems, one in a subgroup H and the other on a homogeneous space. The theory is illustrated with several examples and applications.

引用

页码：67 / 87

页数：21

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