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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
41/2009

On Generalized Sundman Transformation Method, First Integrals and Solutions of Painlevé-Gambier Type Equations

Partha Guha, Anindya Ghose Choudhury and Barun Khanra

Abstract

We employ generalized Sundman transformation method to obtain certain new first integrals of autonomous second-order ordinary differential equations belonging to the Painlevé-Gambier classification scheme. In particular this method yields systematically both known and unknown first integrals of a large number of the autonomous Painlevé-Gambier equations.

Received:
Jul 23, 2009
Published:
Jul 24, 2009
MSC Codes:
34C14, 34C20
Keywords:
Painlev\'e-Gambier, first integrals, Jacobi equation

Related publications

inJournal
2010 Repository Open Access
Partha Guha, Barun Khanra and Anindya Ghose Choudhury

On generalized Sundman transformation method, first integrals and solutions of Painlevé-Gambier type equations

In: Nonlinear analysis / A, 72 (2010) 7/8, pp. 3247-3257