
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
ISSN2145-8472
AutoresDanilo A. García Hernández, Oscar Mario Londoño Duque, Yeisson Alexis Acevedo Agudelo, Gabriel Ignacio Loaiza Ossa,
Tópico(s)Advanced Fiber Optic Sensors
ResumoWe 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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