{
  "annotation_id": "eb0b15f1-381d-4113-bec9-ee9f446668c3",
  "date_created": "2026-03-02T18:02:51.517000Z",
  "date_modified": "2026-03-02T18:02:51.517000Z",
  "file_hash": "d0e55a2885e614f2636519fbf873014ded7bddd39a61cd44bf087c7e93edc083",
  "private": false,
  "record": {
    "abstract": "Combining algebro-geometric methods and factorization techniques for finite\ndifference expressions we provide a complete and self-contained treatment of\nall real-valued quasi-periodic finite-gap solutions of both the Toda and\nKac-van Moerbeke hierarchies. In order to obtain our principal new result, the\nalgebro-geometric finite-gap solutions of the Kac-van Moerbeke hierarchy, we\nemploy particular commutation methods in connection with Miura-type\ntransformations which enable us to transfer whole classes of solutions (such as\nfinite-gap solutions) from the Toda hierarchy to its modified counterpart, the\nKac-van Moerbeke hierarchy, and vice versa.",
    "arxiv_id": "solv-int/9705019",
    "authors": [
      "W. Bulla",
      "F. Gesztesy",
      "H. Holden",
      "G. Teschl"
    ],
    "categories": [
      "solv-int",
      "math.SP",
      "nlin.SI"
    ],
    "doi": "10.1090/memo/0641",
    "journal_ref": "Memoirs of the Amer. Math. Soc. 135/641, 1998",
    "title": "Algebro-Geometric Quasi-Periodic Finite-Gap Solutions of the Toda and   Kac-van Moerbeke Hierarchies",
    "url": "https://arxiv.org/abs/solv-int/9705019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5f3e75a8-3372-4bc6-8096-e32375c18325",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}