{
  "annotation_id": "08af78f6-286d-4e4d-9b52-89429d1ce007",
  "date_created": "2026-03-02T18:02:51.602000Z",
  "date_modified": "2026-03-02T18:02:51.602000Z",
  "file_hash": "6cbf567d0de82c5f345720da6a994aedacb306d4638f4931be2a73f9eddb24db",
  "private": false,
  "record": {
    "abstract": "We investigate some classical evolution model in the discrete 2+1 space-time.\nA map, giving an one-step time evolution, may be derived as the compatibility\ncondition for some systems of linear equations for a set of auxiliary linear\nvariables. Dynamical variables for the evolution model are the coefficients of\nthese systems of linear equations. Determinant of any system of linear\nequations is a polynomial of two numerical quasimomenta of the auxiliary linear\nvariables. For one, this determinant is the generating functions of all\nintegrals of motion for the evolution, and on the other hand it defines a high\ngenus algebraic curve. The dependence of the dynamical variables on the\nspace-time point (exact solution) may be expressed in terms of theta functions\non the jacobian of this curve. This is the main result of our paper.",
    "arxiv_id": "solv-int/9906007",
    "authors": [
      "Sergei M. Sergeev"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.2991/jnmp.2000.7.1.5",
    "journal_ref": "J. Nonlinear Math. Phys. 7 (2000), no. 1, 57-72",
    "title": "On exact solution of a classical 3D integrable model",
    "url": "https://arxiv.org/abs/solv-int/9906007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fa4652d9-5f0d-479e-bdf6-9ded6a98ef7e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}