Lie Algebra Representation, Conservation Laws and Some Invariant Solutions for a Generalized Emden-Fowler Equation
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...
- Autores:
-
Loaiza Ossa, Gabriel Ignacio
Acevedo-Agudelo, Yeisson
Londoño-Duque, Oscar
García Hernández, Danilo A.
- Tipo de recurso:
- Fecha de publicación:
- 2021
- Institución:
- Universidad EAFIT
- Repositorio:
- Repositorio EAFIT
- Idioma:
- eng
- OAI Identifier:
- oai:repository.eafit.edu.co:10784/31021
- Acceso en línea:
- http://hdl.handle.net/10784/31021
- Palabra clave:
- Invariant solutions
Lie symmetry group
Optimal system
Lie algebra classification
variational simmetries
Conservation laws
Soluciones invariantes
grupo de simetrías de Lie
sistema óptimo
clasificación del álgebra de Lie
simetrías variacionales
leyes de conservación
- Rights
- License
- Acceso abierto
| Summary: | 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. |
|---|