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

A. Ghose Choudhury; Partha Guha; Barun Khanra

doi:10.2991/jnmp.2008.15.4.2

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

A. Ghose Choudhury, Partha Guha, Barun Khanra

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	British English
Pages (from-to)	365-382
Number of pages	18
Journal	Journal of Nonlinear Mathematical Physics
Volume	15
Issue number	4
DOIs	https://doi.org/10.2991/jnmp.2008.15.4.2
State	Published - Dec 2008

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10.2991/jnmp.2008.15.4.2

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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 Painlev{\'e}-Gambier XXII equation. We also derive the first integrals of generalized two-dimensional Kepler system and the Li{\'e}nard type oscillators.",

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AU - Guha, Partha

AU - Khanra, Barun

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N2 - 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.

AB - 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.

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

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