{
  "annotation_id": "78393367-26a9-45b8-adc5-0d37534cb970",
  "date_created": "2026-03-02T18:02:50.761000Z",
  "date_modified": "2026-03-02T18:02:50.761000Z",
  "file_hash": "2495953555da68ff454a50c05532f1e24943f697a3697f663c11c5563065c9f4",
  "private": false,
  "record": {
    "abstract": "The Painleve expansion for the second Painleve equation (PII) and fourth\nPainleve equation (PIV) have two branches. The singular manifold method\ntherefore requires two singular manifolds. The double singular manifold method\nis used to derive Miura transformations from PII and PIV to modified Painleve\ntype equations for which auto-Backlund transformations are obtained. These\nauto-Backlund transformations can be used to obtain discrete equations.",
    "arxiv_id": "solv-int/9904002",
    "authors": [
      "P. G. Estevez",
      "P. A. Clarkson"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "Discrete equations and the singular manifold method",
    "url": "https://arxiv.org/abs/solv-int/9904002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "433c5782-7b73-491c-846c-64ef7f0e7f2b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}