{
  "annotation_id": "85d70665-0a94-4c55-88a2-c6a7d63be1f3",
  "date_created": "2026-03-02T18:02:50.567000Z",
  "date_modified": "2026-03-02T18:02:50.567000Z",
  "file_hash": "dae226a92f493d0caea95abd92b3143158d35588c968ad54e8b5ed76b4f5bea1",
  "private": false,
  "record": {
    "abstract": "We apply an analogue of the Zakharov-Shabat dressing method to obtain\ninfinite matrix solutions to the Toda lattice hierarchy. Using an operator\ntransformation we convert some of these into solutions in terms of integral\noperators and Fredholm determinants. Others are converted into a class of\noperator solutions to the $l$-periodic Toda hierarchy.",
    "arxiv_id": "solv-int/9602001",
    "authors": [
      "Harold Widom"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "math.FA",
      "nlin.SI"
    ],
    "doi": "10.1007/s002200050078",
    "journal_ref": "Commun.Math.Phys. 184 (1997) 653-667",
    "title": "Some Classes of Solutions to the Toda Lattice Hierarchy",
    "url": "https://arxiv.org/abs/solv-int/9602001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "99d83dba-36fb-4096-90fa-d2ea375da2ba",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}