Artigo Acesso aberto Produção Nacional Revisado por pares

Sistema óptimo, soluciones invariantes y clasificación completa del grupo de simetrías de Lie para la ecuación de Kummer-Schwarz generalizada y su representación del álgebra de Lie

2021; Industrial University of Santander; Volume: 39; Issue: 2 Linguagem: Inglês

10.18273/revint.v39n2-2021007

ISSN

2145-8472

Autores

Danilo A. García Hernández, Oscar Mario Londoño Duque, Yeisson Alexis Acevedo Agudelo, Gabriel Ignacio Loaiza Ossa,

Tópico(s)

Advanced Fiber Optic Sensors

Resumo

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.

Referência(s)