Ordinary differential equations described by their Lie symmetry algebra

被引：11
|
作者：
Manno, Gianni [1 ]
Oliveri, Francesco [2 ]
Saccomandi, Giuseppe [3 ]
Vitolo, Raffaele [4 ]
机构：
[1] INdAM Politecn Milano, Dipartimento Matemat Francesco Brioschi, Milan, Italy
[2] Univ Messina, Dipartimento Matemat & Informat, I-98166 Messina, Italy
[3] Univ Perugia, Dipartimento Ingn, I-06125 Perugia, Italy
[4] Univ Salento, Dipartimento Matemat E De Giorgi, I-73100 Lecce, Italy
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2014年 / 85卷
关键词：
Symmetries; Ordinary differential equations; Lie remarkable equations; GEOMETRY; INTEGRALS;
D O I：
10.1016/j.geomphys.2014.05.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The theory of Lie remarkable equations, i.e., differential equations characterized by their Lie Point symmetrics, is reviewed and applied to ordinary differential equations. In particular, we consider some relevant Lie algebras of vector fields on R-k and characterize Lie remarkable equations admitted by the considered Lie algebras. (C) 2014 Elsevier B.V. All rights reserved.
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页码：2 / 15
页数：14
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