{
  "annotation_id": "a7ca024b-b41a-432c-9e7a-bb43f50d8431",
  "date_created": "2026-03-02T18:02:51.154000Z",
  "date_modified": "2026-03-02T18:02:51.154000Z",
  "file_hash": "9566f04779304fe029829c16424b3ce26bd48a02cf85f185350bb799885fe928",
  "private": false,
  "record": {
    "abstract": "An integrable discretization of the inhomogeneous Ablowitz-Ladik model with a\nlinear force is introduced. Conditions on parameters of the discretization\nwhich are necessary for reproducing Bloch oscillations are obtained. In\nparticular, it is shown that the step of the discretization must be\ncomensurable with the period of oscillations imposed by the inhomogeneous\nforce. By proper choice of the step of the discretization the period of\noscillations of a soliton in the discrete model can be made equal to an integer\nnumber of periods of oscillations in the underline continuous-time lattice.",
    "arxiv_id": "solv-int/9910004",
    "authors": [
      "V. V. Konotop"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1016/S0375-9601(99)00336-9",
    "journal_ref": "Phys. Lett. A 258, 18-24 (1999)",
    "title": "On integrable discretization of the inhomogeneous Ablowitz-Ladik model",
    "url": "https://arxiv.org/abs/solv-int/9910004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "088c1df5-0cfe-4aae-b7c7-c0bd0419e62b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}