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Abstract:

It is shown that a system of n second order ordinary differential equations that possess 2(n-1) symmetries of certain type necessarily has maximal symmetry sl(n+2,R). Further, it is shown for non-linearizable systems containing a subalgebra of symmetries isomorphic to sl(n-1,R) the dimension of the symmetry algebra L is d≥n 2-1. Examples showing that the upper bound is sharp are given. © 2012 Springer Science+Business Media Dordrecht.

Registro:

Documento: Artículo
Título:Linearizing systems of second-order ODEs via symmetry generators spanning a simple subalgebra
Autor:Campoamor-Stursberg, R.; Guerón, J.
Filiación:Dpto de Geometría y Topología, IMI, Fac. CC. Mat. UCM, Plaza de Ciencias 3, 28040 Madrid, Spain
Instituto de Astronomía y Física Del Espacio CC, 67 sucursal 26, 1428 Buenos Aires, Argentina
Palabras clave:Lie symmetry analysis; Linearization criteria; Point symmetry; Lie symmetry analysis; Point symmetry; Second orders; Second-order ordinary differential equations; Subalgebras; Upper Bound; Mathematical techniques; Algebra
Año:2013
Volumen:127
Número:1
Página de inicio:105
Página de fin:115
DOI: http://dx.doi.org/10.1007/s10440-012-9793-0
Título revista:Acta Applicandae Mathematicae
Título revista abreviado:Acta Appl Math
ISSN:01678019
CODEN:AAMAD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01678019_v127_n1_p105_CampoamorStursberg

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Citas:

---------- APA ----------
Campoamor-Stursberg, R. & Guerón, J. (2013) . Linearizing systems of second-order ODEs via symmetry generators spanning a simple subalgebra. Acta Applicandae Mathematicae, 127(1), 105-115.
http://dx.doi.org/10.1007/s10440-012-9793-0
---------- CHICAGO ----------
Campoamor-Stursberg, R., Guerón, J. "Linearizing systems of second-order ODEs via symmetry generators spanning a simple subalgebra" . Acta Applicandae Mathematicae 127, no. 1 (2013) : 105-115.
http://dx.doi.org/10.1007/s10440-012-9793-0
---------- MLA ----------
Campoamor-Stursberg, R., Guerón, J. "Linearizing systems of second-order ODEs via symmetry generators spanning a simple subalgebra" . Acta Applicandae Mathematicae, vol. 127, no. 1, 2013, pp. 105-115.
http://dx.doi.org/10.1007/s10440-012-9793-0
---------- VANCOUVER ----------
Campoamor-Stursberg, R., Guerón, J. Linearizing systems of second-order ODEs via symmetry generators spanning a simple subalgebra. Acta Appl Math. 2013;127(1):105-115.
http://dx.doi.org/10.1007/s10440-012-9793-0