Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 39 No. 2 (2021): Revista Integración, temas de matemáticas
Research and Innovation Articles

Optimal system, invariant solutions and complete classification of Lie group symmetries for a generalized Kummer-Schwarz equation and its Lie algebra representation

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  • Danilo García Hernández,
  • Oscar Mario Londoño Duque,
  • Yeisson Acevedo,
  • Gabriel Loaiza
Danilo García Hernández
IMEC-UNICAMP, Escola de matemática, Campinas, Brasil.
Oscar Mario Londoño Duque
IMEC-UNICAMP, Escola de matemática, Campinas, Brasil.
Yeisson Acevedo
Universidad EAFIT, Departamento de ciencias matemáticas, Medellín, Colombia.
Gabriel Loaiza
Universidad EAFIT, Departamento de ciencias matemáticas, Medellín, Colombia.
DOI: https://doi.org/10.18273/revint.v39n2-2021007

Published 2021-10-08

Keywords

  • Invariant solutions,
  • Lie symmetry group,
  • Optimal system,
  • Lie algebra classification,
  • Kummer-Schwarz equation

How to Cite

García Hernández, D., Londoño Duque, O. M., Acevedo, Y., & Loaiza, G. (2021). Optimal system, invariant solutions and complete classification of Lie group symmetries for a generalized Kummer-Schwarz equation and its Lie algebra representation. Revista Integración, Temas De matemáticas, 39(2), 257–274. https://doi.org/10.18273/revint.v39n2-2021007

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Abstract

We obtain the complete classification of the Lie symmetry group and the optimal system’s generating operators associated with a particular case of the generalized Kummer - Schwarz equation. Using those operators we characterize all invariant solutions, alternative solutions were found for the equation studied and the Lie algebra associated with the symmetry group is classified.

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