{
  "annotation_id": "89dec2a8-0dc6-4b25-b63c-1acee4bee08e",
  "date_created": "2026-03-02T18:02:51.520000Z",
  "date_modified": "2026-03-02T18:02:51.520000Z",
  "file_hash": "7877c0a6119e570d95675e164a2b8f7a8d4f6f9d0d0797fb978aeaa3bea2f74b",
  "private": false,
  "record": {
    "abstract": "The Ablowitz-Ladik hierarchy (ALH) is considered in the framework of the\ninverse scattering approach. After establishing the structure of solutions of\nthe auxiliary linear problems, the ALH, which has been originally introduced as\nan infinite system of difference-differential equations is presented as a\nfinite system of difference-functional equations. The representation obtained,\nwhen rewritten in terms of Hirota\u0027s bilinear formalism, is used to demonstrate\nrelations between the ALH and some other integrable systems, the\nKadomtsev-Petviashvili hierarchy in particular.",
    "arxiv_id": "solv-int/9707008",
    "authors": [
      "V. E. Vekslerchik"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1088/0305-4470/31/3/018",
    "title": "Functional representation of the Ablowitz-Ladik hierarchy",
    "url": "https://arxiv.org/abs/solv-int/9707008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d1dc2c92-c466-4128-b274-4c9a7aa43ae6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}