Abstract

GARCIA HERNANDEZ, DANILO A.; DUQUE, O. M. L.; ACEVEDO, Y.  and  LOAIZA, G.. Optimal system, invariant solutions and complete classification of Lie group symmetries for a generalized Kummer-Schwarz equation and its Lie algebra representation. Integración - UIS [online]. 2021, vol.39, n.2, pp.257-274.  Epub Apr 19, 2022. ISSN 0120-419X.  https://doi.org/10.18273/revint.v39n2-2021007.

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.

Keywords : Invariant solutions; Lie symmetry group; Optimal system; Lie algebra classification; Kummer-Schwarz equation.

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