Generalized Thomas–Fermi equations as the Lampariello class of Emden–Fowler equations

Haret C. Rosu and Stefan C. Mancas

Physica A: Statistical Mechanics and its Applications, 2017, vol. 471, issue C, 212-218

Abstract: 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.

Keywords: Generalized Thomas–Fermi equation; Emden–Fowler equation; Abel equation; Invariant; Dynamical systems (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437116309876
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:471:y:2017:i:c:p:212-218

DOI: 10.1016/j.physa.2016.12.007

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().