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