{
  "annotation_id": "3ba72e37-6e8b-4775-bc73-1dc23f10df73",
  "date_created": "2026-03-02T18:02:51.452000Z",
  "date_modified": "2026-03-02T18:02:51.452000Z",
  "file_hash": "912cf5214ba1b1f7f92a0af9d652b4edb78a921ba7cc434dfeae394437547cec",
  "private": false,
  "record": {
    "abstract": "Let KdV stand for the Nth Gelfand-Dickey reduction of the KP hierarchy. The\npurpose of this paper is to show that any KdV solution leads effectively to a\nsolution of the q-approximation of KdV. Two different q-KdV approximations were\nproposed, one by Frenkel and a variation by Khesin et al. We show there is a\ndictionary between the solutions of q-KP and the 1-Toda lattice equations,\nobeying some special requirement; this is based on an algebra isomorphism\nbetween difference operators and D-operators, where $Df(x)=f(qx)$. Therefore,\nevery notion about the 1-Toda lattice can be transcribed into q-language.",
    "arxiv_id": "solv-int/9712015",
    "authors": [
      "M. Adler",
      "E. Horozov",
      "P. van Moerbeke"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1016/S0375-9601(98)00082-6",
    "title": "The solution to the q-KdV equation",
    "url": "https://arxiv.org/abs/solv-int/9712015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "19d50d4b-76ef-4815-9706-a7e83b75a9ad",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}