| dc.creator | Stefan C. Mancas | |
| dc.creator | HARET CODRATIAN ROSU | |
| dc.date | 2017-04 | |
| dc.date | info:eu-repo/date/embargoEnd/2019-04-30 | |
| dc.date.accessioned | 2022-10-12T19:37:55Z | |
| dc.date.available | 2022-10-12T19:37:55Z | |
| dc.identifier | http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1381 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4118893 | |
| dc.description | 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. | |
| dc.format | application/pdf | |
| dc.publisher | Elsevier Science BV | |
| dc.relation | info:eu-repo/semantics/altIdentifier/DOI/https://doi.org/10.1016/j.physa.2016.12.007 | |
| dc.relation | citation: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. | |
| dc.rights | info:eu-repo/semantics/embargoedAccess | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/4.0 | |
| dc.subject | info:eu-repo/classification/Autor/Generalized Thomas–Fermi equation | |
| dc.subject | info:eu-repo/classification/Autor/Emden–Fowler equation | |
| dc.subject | info:eu-repo/classification/Autor/Abel equation | |
| dc.subject | info:eu-repo/classification/Autor/Invariant | |
| dc.subject | info:eu-repo/classification/Autor/Dynamical systems | |
| dc.subject | info:eu-repo/classification/cti/1 | |
| dc.subject | info:eu-repo/classification/cti/22 | |
| dc.title | Generalized Thomas–Fermi equations as the Lampariello class of Emden–Fowler equations | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/submittedVersion | |
