LIE-POINT SYMMETRIES PRESERVED BY DERIVATIVE

被引：0
|
作者：
Campoamor-Stursberg, Rutwig [1 ]
机构：
[1] UCM, Inst Matemat Interdisciplinar, Plaza Ciencias 3, E-28040 Madrid, Spain
来源：
PROCEEDINGS OF THE TWENTY-FIRST INTERNATIONAL CONFERENCE ON GEOMETRY, INTEGRABILITY AND QUANTIZATION | 2020年 / 21卷
关键词：
Exact ODE; point symmetry; simple Lie algebra; symmetry analysis; ORDINARY DIFFERENTIAL-EQUATIONS; 2ND-ORDER; ALGEBRAS; SYSTEMS;
D O I：
10.7546/giq-21-2020-75-88
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Conditions to guarantee that a point symmetry X of an nth-order differential equation q((n)) - omega = 0 is simultaneously a point symmetry of its derived equation q((n+1)) - (omega) over dot = 0 are analyzed, and the possible types of vector fields established. It is further shown that only the simple Lie algebra sl(2,R) for a very specific type of realization in the plane can be inherited by a derived equation.
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页码：75 / 88
页数：14
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