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Lie group classification of the generalized Lane-Emden equation
(Elsevier http://dx.doi.org/10.1016/j.amc.2009.01.008, 2009)
We carry out the Lie group classification of the generalized Lane–Emden equation
xu00 þ nu0 þ xHðuÞ ¼ 0, which has many applications in mathematical physics and astrophysics.
We show that the equation admits a three-dimensional ...