{
  "annotation_id": "07faf045-c145-4b3b-82ab-3371e5dd0c2a",
  "date_created": "2026-03-02T18:02:48.586000Z",
  "date_modified": "2026-03-02T18:02:48.586000Z",
  "file_hash": "e919995aa8ba44adc34401954ad315fc0e8a59a4d452a6e79972533c7259ccf5",
  "private": false,
  "record": {
    "abstract": "We show that the following geometric properties of the motion of discrete and\ncontinuous curves select integrable dynamics: i) the motion of the curve takes\nplace in the N dimensional sphere of radius R, ii) the curve does not stretch\nduring the motion, iii) the equations of the dynamics do not depend explicitly\non the radius of the sphere. Well known examples of integrable evolution\nequations, like the nonlinear Schroedinger and the sine-Gordon equations, as\nwell as their discrete analogues, are derived in this general framework.",
    "arxiv_id": "solv-int/9501001",
    "authors": [
      "Adam Doliwa",
      "Paolo Maria Santini"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "The Integrable Dynamics of Discrete and Continuous Curves",
    "url": "https://arxiv.org/abs/solv-int/9501001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6b367aa3-0ebd-4d3f-abf7-7e2503d6b5f4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}