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