Exact Solutions of Singular IVPs Lane-Emden Equation

Document Type : Original Article

Author

Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran

Abstract

In the paper, [A.M. Rismani, H. Monfared, Numerical solution of singular ivps of laneemden type using a modifi ed Legendre spectral method. Applied Mathematical Modelling, 36 (2012), 4830-4836.], the authors state that exact solutions for the Lane-Emden nonlinear differential equation exist only for m = 0,1 (linear cases) and 5 (nonlinear case). While here,
we present real exact solutions for m ∈ (3,∞) and complex m ∈ (−∞,3){1}. Some illustrated
examples presented as well.

Keywords


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