Non-Fuchsian extension to the Painlevé test
arXiv:solv-int/9508003 · doi:10.1016/0375-9601(95)00602-Y
Abstract
We consider meromorphic particular solutions of nonlinear ordinary differential equations and perform a perturbation {\it à la} Poincaré making their linearized equation non-Fuchsian at the movable pole and Fuchsian at infinity. When the nonlinear equation possesses movable logarithms, they are detected sooner than with the perturbative (Fuchsian) Painlevé test.
15 pages, no figure, Latex, to appear in Physics Letters A