Lie Algebra Representation, Conservation Laws and Some Invariant Solutions for a Generalized Emden-Fowler Equation

• Gabriel Ignacio Loaiza Ossa ^[1] ; Yeisson Acevedo-Agudelo ^[1] ; Oscar Londoño-Duque ^[1] ; Danilo A. García Hernández ^[2]
  1. [1] Universidad EAFIT

     Universidad EAFIT

     Colombia

     
  2. [2] Universidade Estadual de Campinas

     Universidade Estadual de Campinas

     Brasil

     
• Localización: Ingeniería y ciencia, ISSN-e 1794-9165, Vol. 17, Nº. 34, 2021, págs. 97-113
• Idioma: inglés
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• Resumen

  • All generators of the optimal algebra associated with a generalization of the Endem-Fowler equation are showed; some of them allow to give invariant solutions. Variational symmetries and the respective conservation laws are also showed. Finally, a representation of Lie symmetry algebra is showed by groups of matrices.