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MiS Preprint
51/2008

Solutions of some second order ODEs by the extended Prelle-Singer method and symmetrics

Anindya Ghose Choudhury, Partha Guha and Barun Khanra

Abstract

In this paper we compute first integrals of nonlinear ordinary differential equations using the extended Prelle-Singer method, as formulated by Chandrasekar et al in J. Math. Phys. 47 (2), 023508, (2006). We find a new first integral for the Painlevé-Gambier XXII equation. We also derive the first integrals of generalized two-dimensional Kepler system and the Liénard type oscillators.

Received:
Jul 28, 2008
Published:
Jul 24, 2009
MSC Codes:
34A05, 34C99
Keywords:
Prelle-Singer, Darboux polynomial, first integral

Related publications

inJournal
2008 Journal Open Access
Anindya Ghose Choudhury, Partha Guha and Barun Kahnra

Solutions of some second order ODEs by the extended Prelle-Singer method and symmetries

In: Journal of nonlinear mathematical physics, 15 (2008) 4, pp. 365-382