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.
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页码：67 / 87
页数：21
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