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Abu Arqub, O., El-Ajou, A., Bataineh, A.S. and Hashim, I. (2013) A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical Method. Abstract and Applied Analysis, 2013, Article ID: 378593.
https://doi.org/10.1155/2013/378593

has been cited by the following article:

• TITLE: Linearization of Emden Differential Equation via the Generalized Sundman Transformations

  AUTHORS: Joel Mvendaga Orverem, Yusuf Haruna, Bala Ma’aji Abdulhamid, Magaji Yunbunga Adamu

  KEYWORDS: Emden Differential Equation, Second Order, Ordinary Differential Equation, Generalized Sundman Transformation, Linearization

  JOURNAL NAME: Advances in Pure Mathematics, Vol.11 No.3, March 12, 2021

  ABSTRACT: The Emden differential equation is one of the most widely studied and challenging nonlinear dynamics equations in literature. It finds applications in various areas of study such as celestial mechanics, fluid mechanics, Steller structure, isothermal gas spheres, thermionic currents and so on. Because of the importance of the equation, the method of generalized Sundman transformation (GST) as proposed by Nakpim and Meleshko is used for linearizing the Emden differential equation. The Emden differential equation considered here is a modification of the equation given by Berkovic. The results obtained in this paper imply that the Emden equation cannot be linearized by a point transformation. The general solution of the modified Emden equation is also obtained.