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Revista de Matemática Teoría y Aplicaciones

Print version ISSN 1409-2433

Rev. Mat vol.29 n.1 San José Jan./Jun. 2022

http://dx.doi.org/10.15517/rmta.v29i1.43782 

Artículo

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

Clasificación completa del grupo de simetrías de lie para una ecuación de Chazy generalizada y su grupo de equivalencia

Óscar M. Londoño Duque1 

Yeison A. Acevedo2 

Gabriel I. Loaiza3 

1IMECC-UNICAMP, Instituto de Matemáticas, Campinas, Brasil; o154278@dac.unicamp.br

2EAFIT, Departamento de Ciencias Matemáticas, Medellín, Colombia; yaceved2@eafit.edu.co

3EAFIT, Departamento de Ciencias Matemáticas, Medellín, Colombia; gloaiza@eafit.edu.co

Abstract

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.

Keywords: Lie symmetries; equivalence group; Lie symmetries classification; Chazy generalized equation .

Resumen

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.

Palabras clave: simetrías de Lie; grupo de equivalencia; clasificación de simetrías de Lie; ecuación generalizada de Chazy.

Mathematics Subject Classification: 76M60, 70G65, 34C14

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Acknowledgements

The author Y. Acevedo is grateful for the financial support of the EAFIT University for the Master’s Scholarship. G. Loaiza and Y. Acevedo also thank the Project of MinScience “Sobre procesos de difusión y simplificación de información” (code 121671250122). The anonymous referees, whose comments and suggestions helped to improve the paper, are gratefully acknowledged.

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Received: October 21, 2020; Revised: September 03, 2021; Accepted: November 22, 2021

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