Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5102902 | Physica A: Statistical Mechanics and its Applications | 2017 | 7 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Haret C. Rosu, Stefan C. Mancas,