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
Publicado 2021-10-08
Palabras clave
- Soluciones invariantes,
- grupo de simetría de Lie,
- Sistema optimal,
- Clasificación del álgebra de Lie,
- Ecuación de Kummer - Schwarz
Cómo citar
Derechos de autor 2021 Revista Integración, temas de matemáticas
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Resumen
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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Referencias
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