广义Kummer-Schwarz方程的最优系统、不变解和李对称群的完全分类及其李代数的表示

Revista Integración Pub Date : 2021-10-08 DOI:10.18273/revint.v39n2-2021007

Danilo García Hernández, Oscar Mario Londoño Duque, Yeisson Acevedo, Gabriel Loaiza

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引用次数: 1

摘要

得到了一类广义Kummer - Schwarz方程的李对称群的完全分类和最优系统的生成算子。利用这些算子刻画了所研究方程的所有不变解，找到了可选解，并对与对称群相关的李代数进行了分类。

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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

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.

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Revista Integración

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