Quasi-Lie schemes: theory and applications

被引：16

作者：

Carinena, Jose F. ^{[1
]}

Grabowski, Janusz ^{[2
]}

de Lucas, Javier ^{[1
,2
]}

机构：

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

[2] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 33期

关键词：

SUPERPOSITION RULES; 1ST INTEGRALS; EMDEN-FOWLER; SYSTEMS; EQUATION;

D O I：

10.1088/1751-8113/42/33/335206

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A powerful method to solve nonlinear first-order ordinary differential equations, which is based on a geometrical understanding of the corresponding dynamics of the so-called Lie systems, is developed. This method enables us not only to solve some of these equations, but also gives geometrical explanations for some, already known, ad hoc methods of dealing with such problems.

引用

页数：20

共 50 条

[21] Quasi-Lie structure of σ-derivations of C[t±1]
Richard, Lionel
Silvestrov, Sergei D.
JOURNAL OF ALGEBRA, 2008, 319 (03) : 1285 - 1304
[22] Quantum BV-manifolds and quasi-Lie bialgebras
Granaker, Johan
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2010, 28 (02) : 194 - 204
[23] Quasi-Lie Bialgebroids, Dirac Structures, and Deformations of Poisson Quasi-Nijenhuis Manifolds
Luiz, M. do Nascimento
Mencattini, I.
Pedroni, M.
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2024, 55 (02):
[24] A Note on Quasi-Lie and Hom-Lie Structures of σ-Derivations of C[z1±1, ... ,zn±1]
Richard, Lionel
Silvestrov, Sergei
GENERALIZED LIE THEORY IN MATHEMATICS, PHYSICS AND BEYOND, 2009, : 257 - +
[25] Quasi-Lie Brackets and the Breaking of Time-Translation Symmetry for Quantum Systems Embedded in Classical Baths
Sergi, Alessandro
Hanna, Gabriel
Grimaudo, Roberto
Messina, Antonino
SYMMETRY-BASEL, 2018, 10 (10):
[26] Lie families: theory and applications
Carinena, Jose F.
Grabowski, Janusz
de Lucas, Javier
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (30)
[27] APPLICATIONS OF LIE THEORY TO THEORY OF SPECIAL FUNCTIONS
BOYER, CP
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (01): : A115 - A115
[28] Contact Lie systems: theory and applications
de Lucas, Javier
Rivas, Xavier
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2023, 56 (33)
[29] Applications of Lie Theory to Simpletic Geometry
Terezinha Gasparim, Elizabeth
Bassani Varea, Carlos Augusto
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2021, 39 (02): : 141 - 161
[30] Stratified Lie systems: theory and applications
Carinena, J. F.
de Lucas, J.
Wysocki, D.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2022, 55 (38)

← 1 2 3 4 5 →