Painlevé 检验的非 Fuchs 型推广
solv-int
2009-10-28 v1 可精确求解与可积系统
摘要
我们考虑非线性常微分方程的亚纯特解，并作 Poincaré 式的扰动，使其线性化方程在可动极点处为非 Fuchs 型、在无穷远处为 Fuchs 型。当非线性方程具有可动对数时，它们比用扰动（Fuchs 型）Painlevé 检验更早被检出。
引用
@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}
}
备注
15 pages, no figure, Latex, to appear in Physics Letters A