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Lie algebra classification, conservation laws and invariant solutions for modification of the generalization of the Emden--Fowler equation.
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  • Yeisson Acevedo Agudelo,
  • Gabriel Loaiza Ossa,
  • Oscar Londoño Duque,
  • Danilo García Hernández
Yeisson Acevedo Agudelo
Universidad EAFIT

Corresponding Author:yaceved2@eafit.edu.co

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Gabriel Loaiza Ossa
Universidad EAFIT
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Oscar Londoño Duque
Universidad EAFIT
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Danilo García Hernández
IMECC
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Abstract

We obtain the optimal system's generating operators associated to a modification of the generalization of the Emden--Fowler Equation. equation. Using those operators we characterize all invariant solutions associated to a generalized. Moreover, we present the variational symmetries and the corresponding conservation laws, using Noether's theorem and Ibragimov's method. Finally, we classify the Lie algebra associated to the given equation.