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

A. Ghose Choudhury | Zendy; Partha Guha | Zendy; Barun Khanra | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

A. Ghose Choudhury,

Partha Guha,

Barun Khanra

Publication year - 2008

Publication title -

journal of nonlinear mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.544

H-Index - 40

eISSN - 1776-0852

pISSN - 1402-9251

DOI - 10.2991/jnmp.2008.15.4.2

Subject(s) - mathematics , ode , homogeneous space , order (exchange) , pure mathematics , calculus (dental) , algebra over a field , mathematical analysis , geometry , finance , economics , medicine , dentistry

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research