Open AccessSistema 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
Author(s) -
Danilo A. García Hernández,
Oscar Duque,
Y. Acevedo,
G. Loaiza
Publication year - 2021
Publication title -
integración/revista integración, temas de matemáticas
Language(s) - English
Resource type - Journals
eISSN - 2145-8472
pISSN - 0120-419X
DOI - 10.18273/revint.v39n2-2021007
Subject(s) - mathematics , lie algebra , invariant (physics) , lie group , symmetry (geometry) , pure mathematics , algebra over a field , mathematical physics , geometry
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.