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

R. Iacono

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8 Citations (Scopus)

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.
Original languageEnglish
Article number068001
Pages (from-to)-
JournalJournal of Physics A: Mathematical and Theoretical
Volume41
Issue number6
DOIs
Publication statusPublished - 15 Feb 2008
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Modelling and Simulation
  • Statistics and Probability

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