Home
File Metadata
solv-int_9803014.txt
Annotation: dorsal/arxiv

dorsal/arxiv

Added by Arxiv Bot | Added: 2026-03-02 18:02 | Views: 1 | Source: arXiv Dataset IDs (Model)

Rules of discretization for Painlev\'e equations

Authors	R. Conte, M. Musette
Categories	solv-int nlin.SI
ArXiv ID	solv-int/9803014
URL	https://arxiv.org/abs/solv-int/9803014

Abstract

The discrete Painlev\'e property is precisely defined, and basic discretization rules to preserve it are stated. The discrete Painlev\'e test is enriched with a new method which perturbs the continuum limit and generates infinitely many no-log conditions. A general, direct method is provided to search for discrete Lax pairs.

{
  "annotation_id": "348e5910-3d96-44ea-a7b4-5d7935c5446c",
  "date_created": "2026-03-02T18:02:50.698000Z",
  "date_modified": "2026-03-02T18:02:50.698000Z",
  "file_hash": "59fe0989e37fe4f457b61e94fea3c0d81d36247eb5082304a3d32dee375fef4e",
  "private": false,
  "record": {
    "abstract": "The discrete Painlev\\\u0027e property is precisely defined, and basic\ndiscretization rules to preserve it are stated. The discrete Painlev\\\u0027e test is\nenriched with a new method which perturbs the continuum limit and generates\ninfinitely many no-log conditions. A general, direct method is provided to\nsearch for discrete Lax pairs.",
    "arxiv_id": "solv-int/9803014",
    "authors": [
      "R. Conte",
      "M. Musette"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "Rules of discretization for Painlev\\\u0027e equations",
    "url": "https://arxiv.org/abs/solv-int/9803014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d465c91c-67b5-4c35-b718-573e7dc5dea7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}