{
  "annotation_id": "8fafbf14-946c-4da3-9cdc-83e08409f932",
  "date_created": "2026-03-02T18:02:51.567000Z",
  "date_modified": "2026-03-02T18:02:51.567000Z",
  "file_hash": "56613a726c4dbb1ad986e783d533915f88bf83f33c827cd46200a29e8e6c3643",
  "private": false,
  "record": {
    "abstract": "The Hirota bilinear difference equation is generalized to discrete space of\narbitrary dimension. Solutions to the nonlinear difference equations can be\nobtained via B\\\"acklund transformation of the corresponding linear problems.",
    "arxiv_id": "solv-int/9801002",
    "authors": [
      "Nobuhiko Shinzawa",
      "Satoru Saito"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1088/0305-4470/31/19/016",
    "title": "A Symmetric Generalization of Linear B\\\"acklund Transformation   associated with the Hirota Bilinear Difference Equation",
    "url": "https://arxiv.org/abs/solv-int/9801002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e2cbc93a-9fc4-4a37-bcff-78993ea64701",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}