Non-Fuchsian extension to the Painlev\'e test
solv-int
2009-10-28 v1 Exactly Solvable and Integrable Systems
Abstract
We consider meromorphic particular solutions of nonlinear ordinary differential equations and perform a perturbation {\it \`a la} Poincar\'e 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) Painlev\'e test.
Cite
@article{arxiv.solv-int/9508003,
title = {Non-Fuchsian extension to the Painlev\'e test},
author = {Micheline Musette and Robert Conte},
journal= {arXiv preprint arXiv:solv-int/9508003},
year = {2009}
}
Comments
15 pages, no figure, Latex, to appear in Physics Letters A