Por favor, use este identificador para citar o enlazar este ítem:
http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1381| Generalized Thomas–Fermi equations as the Lampariello class of Emden–Fowler equations | |
| Stefan C. Mancas HARET CODRATIAN ROSU | |
| En Embargo | |
| 30-04-2019 | |
| Atribución-NoComercial-SinDerivadas | |
| https://doi.org/10.1016/j.physa.2016.12.007 | |
| Generalized Thomas–Fermi equation Emden–Fowler equation Abel equation Invariant Dynamical systems | |
| A one-parameter family of Emden-Fowler equations defined by Lampariello's parameter p which, upon using Thomas-Fermi boundary conditions, turns into a set of generalized Thomas-Fermi equations comprising the standard Thomas-Fermi equation for p = 1 is studied in this paper. The entire family is shown to be non integrable by reduction to the corresponding Abel equations whose invariants do not satisfy a known integrability condition. We also discuss the equivalent dynamical system of equations for the standard Thomas-Fermi equation and perform its phase-plane analysis. The results of the latter analysis are similar for the whole class. (C) 2016 Elsevier B.V. All rights reserved. | |
| Elsevier Science BV | |
| 2017-04 | |
| Artículo | |
| Haret C. Rosu, Stefan C. Mancas, Generalized Thomas–Fermi equations as the Lampariello class of Emden–Fowler equations, Physica A: Statistical Mechanics and its Applications, Volume 471, 2017, Pages 212-218. | |
| FÍSICA | |
| Versión revisada | |
| submittedVersion - Versión revisada | |
| Aparece en las colecciones: | Publicaciones Científicas Nanociencias y Materiales |