{
  "annotation_id": "bc6f64a9-3220-463e-9566-705565972841",
  "date_created": "2026-03-02T18:02:48.362000Z",
  "date_modified": "2026-03-02T18:02:48.362000Z",
  "file_hash": "32c9cbdb76ba09689cb614834c6fb54af9d67484933daa756d51f1b9f794e28a",
  "private": false,
  "record": {
    "abstract": "The three equations named in the title are examples of infinite-dimensional\ncompletely integrable Hamiltonian systems, and are related to each other via\nsimple geometric constructions. In this paper, these interrelationships are\nfurther explained in terms of the recursion operator for the Localized\nInduction Equation, and the recursion operator is seen to play a variety of\nroles in key geometric variational formulas.",
    "arxiv_id": "solv-int/9404001",
    "authors": [
      "Joel Langer",
      "Ron Perline"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "Localized induction equation, Heisenberg chain, and nonlinear   Schrodinger equation",
    "url": "https://arxiv.org/abs/solv-int/9404001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4d46f861-22d8-421f-969d-7dc23f8a435f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}