{
  "annotation_id": "11aee176-5209-46d5-a959-aac6dc42d6da",
  "date_created": "2026-03-02T18:02:51.463000Z",
  "date_modified": "2026-03-02T18:02:51.463000Z",
  "file_hash": "55c49da3582acb91531be6df706f63a05dcbf1de7180793884805193f5af8497",
  "private": false,
  "record": {
    "abstract": "We study Darboux-B\\\"acklund transformations (DBTs) for the $q$-deformed\nKorteweg-de Vries hierarchy by using the $q$-deformed pseudodifferential\noperators. We identify the elementary DBTs which are triggered by the gauge\noperators constructed from the (adjoint) wave functions of the hierarchy.\nIterating these elementary DBTs we obtain not only $q$-deformed Wronskian-type\nbut also binary-type representations of the tau-function to the hierarchy.",
    "arxiv_id": "solv-int/9811004",
    "authors": [
      "Ming-Hsien Tu",
      "Jiin-Chang Shaw",
      "Chin-Rong Lee"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "journal_ref": "Lett. Math. Phys., 49(1): 33-45, July 1999",
    "title": "On Darboux-B\\\"acklund Transformations for the Q-Deformed Korteweg-de   Vries Hierarchy",
    "url": "https://arxiv.org/abs/solv-int/9811004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ca75f2f5-ef33-4ff1-b9cc-77ef79e7229e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}