TITLE:
New Generating Sets of the First Order Lane-Emden Differential Equations in N-Dimensional Radially Symmetric Polytropes
AUTHORS:
M. A. Sharaf, A. S. Saad
KEYWORDS:
Homology Theorem; Lane-Emden Differential Equations; Stellar Interior
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.4,
April
26,
2013
ABSTRACT: In the present paper, two new generating sets, of homology invariant functions will be established. Moreover, by the aid of two independent homology invariant functions of each set we established the transformed first order Lane-Emden equation. The first equation for polytropic index n ≠–1, ±∞ depends on five free parameters, while the other equation is for, n ＝ ±∞ and depends on three free parameters.