Sundman symmetries of nonlinear second-order and third-order ordinary differential equations

Sundman symmetries arise from more general transformations than do point or contact symmetries. This paper first shows how to systematically calculate Sundman symmetries of second- and third-order nonlinear ordinary differential equations. Secondly, the authors illustrate the application of these symmetries by computing first integrals of the corresponding equations.Validerad; 2004; 20061005 (evan