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Comment on 'On the general solution for the modified Emden-type equation ẍ + α x x· + β x3 = 0'

TitoloComment on 'On the general solution for the modified Emden-type equation ẍ + α x x· + β x3 = 0'
Tipo di pubblicazioneArticolo su Rivista peer-reviewed
Anno di Pubblicazione2008
AutoriIacono, Roberto
RivistaJournal of Physics A: Mathematical and Theoretical
Volume41
ISSN17518113
Abstract

It is shown that the modified Emden-type equation in the title belongs to a class of Liènard's equations that may be mapped into separable Abel's equations, and are therefore integrable. First integrals for equations of this class are easily derived (there are three of them, corresponding to three distinct dynamical regimes), and integrated, to yield parametric representations of the corresponding solutions. © 2008 IOP Publishing Ltd.

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cited By 8

URLhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-43049141180&doi=10.1088%2f1751-8113%2f41%2f6%2f068001&partnerID=40&md5=e592a1cb31056b07188d78b48fd2d757
DOI10.1088/1751-8113/41/6/068001
Citation KeyIacono2008