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- Title
About Lie algebra classification, conservation laws, and invariant solutions for the relativistic fluid sphere equation.
- Authors
ACEVEDO, Y.; DUQUE, O. M. L.; GARCÍA HERNÁNDEZ, D. A.; LOAIZA, G.
- Abstract
The optimal generating operators for the relativistic fluid sphere equation have been derived. We have characterized all invariant solutions of this equation using these operators. Furthermore, we have introduced variational symmetries and their corresponding conservation laws, employing both Noether's theorem and Ibragimov's method. Finally, we have classified the Lie algebra associated with the given equation.
- Subjects
LIE algebras; CONSERVATION laws (Physics); NOETHER'S theorem; EQUATIONS; CONSERVATION laws (Mathematics); OPERATOR equations
- Publication
Revista Integración, 2023, Vol 41, Issue 2, p83
- ISSN
0120-419X
- Publication type
Article
- DOI
10.18273/revint.v41n2-2023002