Barun Khanra

Address: 62A, Shyampukur Street, Kolkata-700004, India

University: Sailendra Sircar Vidyalaya

Publications:

Guha P., Choudhury A. G., Khanra B., Leach P.

Nonlocal Constants of Motions of Equations of Painlevé – Gambier Type and Generalized Sundman Transformation
2022, Vol. 18, no. 1, pp. 103-118

Abstract

We describe a method to generate nonlocal constants of motion for a special class of nonlinear ODEs. We employ the method of the generalized Sundman transformation to obtain certain new nonlocal first integrals of autonomous second-order ordinary differential equations belonging to the classification scheme developed by Painlevé and Gambier.

Keywords: Sundman transformation, Painlevé – Gambier, symmetry, nonlocal first integrals, Jacobi equation

Citation: Guha P., Choudhury A. G., Khanra B., Leach P., Nonlocal Constants of Motions of Equations of Painlevé – Gambier Type and Generalized Sundman Transformation, Rus. J. Nonlin. Dyn., 2022, Vol. 18, no. 1, pp. 103-118

DOI:10.20537/nd220107

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