Journal of Nonlinear Mathematical Physics

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Volume 15, Issue 4, December 2008, Pages 365 - 382

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

Authors
A. Ghose Choudhury, Partha Guha, Barun Khanra
Corresponding Author
A. Ghose Choudhury
Received 18 July 2008, Accepted 28 November 2008, Available Online 1 December 2008.
DOI
10.2991/jnmp.2008.15.4.2How to use a DOI?
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´enard type oscillators.

Copyright
© 2009, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
15 - 4
Pages
365 - 382
Publication Date
2008/12/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2008.15.4.2How to use a DOI?
Copyright
© 2009, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - A. Ghose Choudhury
AU  - Partha Guha
AU  - Barun Khanra
PY  - 2008
DA  - 2008/12/01
TI  - Solutions of some second order ODEs by the extended Prelle-Singer method and symmetries
JO  - Journal of Nonlinear Mathematical Physics
SP  - 365
EP  - 382
VL  - 15
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.4.2
DO  - 10.2991/jnmp.2008.15.4.2
ID  - Choudhury2008
ER  -