A. Choudhury
D.H Road, Sarisha WestBengal743368, India
Department of Physics, Diamond Harbour Women's Uni
Publications:
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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.
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Guha P., Garai S., Choudhury A. G.
Lax Pairs and First Integrals for Autonomous and Non-Autonomous Differential Equations Belonging to the Painlevé – Gambier List
2020, Vol. 16, no. 4, pp. 637-650
Abstract
Recently Sinelshchikov et al. [1] formulated a Lax representation for a family of nonautonomous
second-order differential equations. In this paper we extend their result and obtain
the Lax pair and the associated first integral of a non-autonomous version of the Levinson –
Smith equation. In addition, we have obtained Lax pairs and first integrals for several equations
of the Painlevé – Gambier list, namely, the autonomous equations numbered XII, XVII, XVIII,
XIX, XXI, XXII, XXIII, XXIX, XXXII, XXXVII, XLI, XLIII, as well as the non-autonomous
equations Nos. XV and XVI in Ince’s book.
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