Lie group symmetries' complete classification for a generalized Chazy equation and its equivalence group

In this work, a complete classification of the Lie group symmetries for a generalization of Chazy equation was carried out and the equivalence group for the generalized Chazy equation is calculated and used to present the principal algebra of the equation. En este trabajo se obtiene una clasificació...

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Bibliographic Details
Published inRevista de matemática, teoria y aplicaciones Vol. 29; no. 1; pp. 1 - 17
Main Authors Acevedo Agudelo, Yeisson, Loaiza, Gabriel I, Londoño Duque, Oscar
Format Journal Article
LanguageEnglish
Published 2022
Subjects
Clasificación de simterías de Lie
Ecuación generalizada de Chazy
Equivalence group
Generalized Chazy equation
Grupo de equivalencia
Lie symmetry
Lie symmetry classification
Simetrías de Lie
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Summary:In this work, a complete classification of the Lie group symmetries for a generalization of Chazy equation was carried out and the equivalence group for the generalized Chazy equation is calculated and used to present the principal algebra of the equation. En este trabajo se obtiene una clasificación completa del grupo de simetrías de Lie para una generalización de la ecuación de Chazy, se calcula el grupo de equivalencia y se utiliza éste para presentar el álgebra principal de la ecuación.
ISSN:2215-3373
2215-3373