{
  "annotation_id": "248000a7-87ca-4eae-9d01-56614e99fc2b",
  "date_created": "2026-03-02T18:02:51.356000Z",
  "date_modified": "2026-03-02T18:02:51.356000Z",
  "file_hash": "203039906748ff095bc000e5de34f682ebce67e1181dd3b083ae1bc4acf03757",
  "private": false,
  "record": {
    "abstract": "We revisit integrable discretizations for the nonlinear Schr\\\"odinger\nequation due to Ablowitz and Ladik. We demonstrate how their main drawback, the\nnon-locality, can be overcome. Namely, we factorize the non-local difference\nscheme into the product of local ones. This must improve the performance of the\nscheme in the numerical computations dramatically. Using the equivalence of the\nAblowitz--Ladik and the relativistic Toda hierarchies, we find the\ninterpolating Hamiltonians for the local schemes and show how to solve them in\nterms of matrix factorizations.",
    "arxiv_id": "solv-int/9701010",
    "authors": [
      "Yuri B. Suris"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1088/0266-5611/13/4/016",
    "journal_ref": "Inverse Problems, 1997, V. 13, p. 1121-1136.",
    "title": "A note on the integrable discretization of the nonlinear Schr\\\"odinger   equation",
    "url": "https://arxiv.org/abs/solv-int/9701010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5ed96029-5394-46f8-aa62-2595004a352e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}