GARCIA HERNANDEZ, DANILO A.; DUQUE, O. M. L.; ACEVEDO, Y.    LOAIZA, G.. Optimal system, invariant solutions and complete classification of Lie group symmetries for a generalized Kummer-Schwarz equation and its Lie algebra representation. []. , 39, 2, pp.257-274.   19--2022. ISSN 0120-419X.  https://doi.org/10.18273/revint.v39n2-2021007.

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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.

MSC2010: 35A30, 58J70, 76M60.

Obtenemos la clasificación completa del grupo de simetría de Lie y los operadores generadores del sistema optimal asociados a un caso particular de la ecuación de Kummer - Schwarz generalizada. Utilizando esos operadores, caracterizamos todas las soluciones invariantes, se encontraron soluciones alternativas para la ecuación estudiada y se clasifica el álgebra de Lie asociada al grupo de simetría.

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