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

被引：0
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作者：
A Ghose Choudhury
Partha Guha
Barun Khanra
机构：
[1] Surendranath College,Department of Physics
[2] Max Planck Institute for Mathematics in the Sciences,undefined
[3] S.N. Bose National Centre for Basic Sciences,undefined
[4] Sailendra Sircar Vidyalaya,undefined
来源：
Journal of Nonlinear Mathematical Physics | 2008年 / 15卷
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摘要：
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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页码：365 / 382
页数：17
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