{
  "annotation_id": "489df8f0-bf19-4d8e-b256-ecbb586dadee",
  "date_created": "2026-03-02T18:02:51.348000Z",
  "date_modified": "2026-03-02T18:02:51.348000Z",
  "file_hash": "def7814a53f086509ef1f8d8ca86ff6816d485145a2f9cbb06c6dd20d4889cb5",
  "private": false,
  "record": {
    "abstract": "An explicit characterization of all elliptic algebro-geometric solutions of\nthe AKNS hierarchy is presented. Our approach is based on (an extension of) a\nclassical theorem of Picard, which guarantees the existence of solutions which\nare elliptic of the second kind for n-th order ordinary differential equations\nwith elliptic coefficients associated with a common period lattice. As\nby-products we offer a detailed Floquet analysis of Dirac-type differential\nexpressions with periodic coefficients, specifically emphasizing\nalgebro-geometric coefficients, and a constructive reduction of singular\nhyperelliptic curves and their Baker-Akhiezer functions to the nonsingular\ncase.",
    "arxiv_id": "solv-int/9705018",
    "authors": [
      "Fritz Gesztesy",
      "Rudi Weikard"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "A Characterization of All Elliptic Solutions of the AKNS Hierarchy",
    "url": "https://arxiv.org/abs/solv-int/9705018"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "43c1d018-1856-42ac-bd26-6ca365963581",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}