Generalized Thomas–Fermi equations as the Lampariello class of Emden–Fowler equations
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...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2017 |
| País: | México |
| Institución: | Instituto Potosino de Investigación Científica y Tecnológica |
| Repositorio: | Repositorio Institucional del IPICYT |
| OAI Identifier: | oai:ipicyt.repositorioinstitucional.mx:1010/1381 |
| Acceso en línea: | http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1381 |
| Access Level: | acceso embargado |
| Palabra clave: | info:eu-repo/classification/Autor/Generalized Thomas–Fermi equation info:eu-repo/classification/Autor/Emden–Fowler equation info:eu-repo/classification/Autor/Abel equation info:eu-repo/classification/Autor/Invariant info:eu-repo/classification/Autor/Dynamical systems info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/22 |
| Sumario: | 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. |
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