dorsal/arxiv
View SchemaNon-Fuchsian extension to the Painlev\'e test
| Authors | Micheline Musette, Robert Conte |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9508003 |
| URL | https://arxiv.org/abs/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 \`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.
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"abstract": "We consider meromorphic particular solutions of nonlinear ordinary\ndifferential equations and perform a perturbation {\\it \\`a la} Poincar\\\u0027e\nmaking their linearized equation non-Fuchsian at the movable pole and Fuchsian\nat infinity. When the nonlinear equation possesses movable logarithms, they are\ndetected sooner than with the perturbative (Fuchsian) Painlev\\\u0027e test.",
"arxiv_id": "solv-int/9508003",
"authors": [
"Micheline Musette",
"Robert Conte"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1016/0375-9601(95)00602-Y",
"title": "Non-Fuchsian extension to the Painlev\\\u0027e test",
"url": "https://arxiv.org/abs/solv-int/9508003"
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