{
  "annotation_id": "c0781bd6-8778-4fb2-a534-244cbe9e528c",
  "date_created": "2026-03-02T18:02:50.957000Z",
  "date_modified": "2026-03-02T18:02:50.957000Z",
  "file_hash": "dfe18750145036900422a3839852bb64434271fe51bf8a45a880e5633767a211",
  "private": false,
  "record": {
    "abstract": "We present a systematic approach to the construction of Miura transformations\nfor discrete Painlev\\\u0027e equations. Our method is based on the bilinear\nformalism and we start with the expression of the nonlinear discrete equation\nin terms of $\\tau$-functions. Elimination of $\\tau$-functions from the\nresulting system leads to another nonlinear equation, which is a ``modified\u0027\u0027\nversion of the original equation. The procedure therefore yields Miura\ntransformations. In this letter, we illustrate this approach by reproducing\npreviously known Miura transformations and constructing new ones.",
    "arxiv_id": "solv-int/9809014",
    "authors": [
      "N. Joshi",
      "A. Ramani",
      "B. Grammaticos"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1016/S0375-9601(98)00624-0",
    "title": "A Bilinear Approach to Discrete Miura Transformations",
    "url": "https://arxiv.org/abs/solv-int/9809014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4a22410a-2c23-4f4e-b926-e2827624d0d4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}