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

TitleComment on 'On the general solution for the modified Emden-type equation ẍ + α x x· + β x3 = 0'
Publication TypeArticolo su Rivista peer-reviewed
Year of Publication2008
AuthorsIacono, Roberto
JournalJournal 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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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