{
  "annotation_id": "d2738f4b-ab1a-42bf-92d9-417bfde0e0a2",
  "date_created": "2026-03-02T18:02:51.573000Z",
  "date_modified": "2026-03-02T18:02:51.573000Z",
  "file_hash": "e6a163e7a2323af5799dad68d77fb5ca56e613e27750dc2349cbeaaa0d2f3888",
  "private": false,
  "record": {
    "abstract": "We study integrals of motion for Hirota bilinear difference equation that is\nsatisfied by the eigenvalues of the transfer-matrix. The combinations of the\neigenvalues of the transfer-matrix are found, which are integrals of motion for\nintegrable discrete models for the $A_{k-1}$ algebra with zero and\nquasiperiodic boundary conditions. Discrete analogues of the equations of\nmotion for the Bullough-Dodd model and non-Abelian generalization of Liouville\nmodel are obtained.",
    "arxiv_id": "solv-int/9911009",
    "authors": [
      "A. P. Protogenov",
      "V. A. Verbus"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "nlin.SI"
    ],
    "journal_ref": "Theor.Math.Phys. 119 (1999) 420-429",
    "title": "Equations and Integrals of Motion in Discrete Integrable $A_{k-1}$   Algebra Models",
    "url": "https://arxiv.org/abs/solv-int/9911009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0f0d63c0-25a7-4d5c-b58d-730c4ac86aa3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}