{
  "annotation_id": "cca5d062-0524-4c68-bd4e-c05f0f2e51f3",
  "date_created": "2026-03-02T18:02:51.604000Z",
  "date_modified": "2026-03-02T18:02:51.604000Z",
  "file_hash": "ee422ad415b4f20df594dbe03c6520493ef35528068979d7bf734756846848ab",
  "private": false,
  "record": {
    "abstract": "We analyze in detail three classes of isomondromy deformation problems\nassociated with integrable systems. The first two are related to the scaling\ninvariance of the $n\\times n$ AKNS hierarchies and the Gel\u0027fand-Dikii\nhierarchies. The third arises in string theory as the representation of the\nHeisenberg group by $[(L^{k/n})_+,L]=I$ where $L$ is an $n^{th}$ order scalar\ndifferential operator. The monodromy data is constructed in each case; the\ninverse monodromy problem is solved as a Riemann-Hilbert problem; and a simple\nproof of the Painlev\\\u0027e property is given for the general case",
    "arxiv_id": "solv-int/9801010",
    "authors": [
      "Richard Beals",
      "D. H. Sattinger"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1016/0167-2789(93)90003-J",
    "journal_ref": "Physica D, vol 65, (1993), 17-47",
    "title": "Integrable Systems and Isomonodromy Deformations",
    "url": "https://arxiv.org/abs/solv-int/9801010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5ac04015-1690-43f4-ac01-9fd30b2c353f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}