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Title of Journal: Nuov Cim B

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Abbravation: Il Nuovo Cimento B (1971-1996)

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Società Italiana di Fisica

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DOI

10.1016/0273-1223(95)00517-q

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1826-9877

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Exact solutions of nonlinear differential equation

Authors: W L Ditto T J Pickett
Publish Date: 2007/10/24
Volume: 105, Issue: 4, Pages: 429-435
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Abstract

The continuedfraction conversion method J Math Phys N Y29 1761 1988 is used to generate a homologous family of exact solutions to the LaneEmden equation ϕr″+2ϕr′/r+αϕr p =0 forp=5 An exact solution is also obtained for a generalization of the LaneEmden equation of the form −ϕr″−2ϕr′/r+αϕr2p+1+λϕr4p+1=0 for arbitrary α γ andp A condition is established for the generation of exact solutions from the method

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