Oscillating Solutions of the Lane-Emden Equation for Polytropic Indices m = 0 and 1
Tanfer Tanriverdi *
Department of Mathematics, Faculty of Arts and Sciences, Harran University, Sanliurfa 63200, Turkey.
*Author to whom correspondence should be addressed.
Abstract
With new approach, trigonometric solutions of the well-known Lane-Emden equation for m = 0, 1 are derived. To the best of author's knowledge these trigonometric solutions oscillating are not reported in the existing literature yet. New solutions are compared with the classical ones.
Keywords: Lane-Emden equation, special equations, trigonometric solutions, exact solutions