Article history: Received 28 May 2010 Available online 16 September 2010 Submitted by Goong Chen

where r is a constant, models the thermal behaviour of a spherical cloud of gas acting under the mutual attraction of its molecules and subject to the classical laws of thermodynamics. This equation was proposed by Lane (1) (see also (3)) and studied in detail by Emden (2). Fowler (4; 5) considered a generalization of Eq. (1), called Emden-Fowler equation (6), where the last term is replaced by...

The Emden differential equation is one of the most widely studied and challenging nonlinear dynamics equations in literature. It finds applications various areas study such as celestial mechanics, fluid Steller structure, isothermal gas spheres, thermionic currents so on. Because importance equation, method generalized Sundman transformation (GST) proposed by Nakpim Meleshko used for linearizin...