{
  "annotation_id": "c52468bc-5d4f-445d-8d6d-a4075ef7364d",
  "date_created": "2026-03-02T18:01:03.036000Z",
  "date_modified": "2026-03-02T18:01:03.036000Z",
  "file_hash": "f7a1d95579f219f6d207a72c0a432b81b22ffabd32f569f4e8d500a9f83f8e8c",
  "private": false,
  "record": {
    "abstract": "Heisenberg spin equation equivalence to nonlinear Schr\\\"{o}dinger equation\nrecently demonstrated by Rogers and Schief, is applied to the investigation of\nvortex filaments in magnetohydrodynamics (MHD) dynamos. The use of\nGauss-Mainard-Codazzi equations allows us to investigate in detail the\ninfluence of curvature and torsion of vortex filaments in the MHD dynamos. This\napplication follows closely previous applications to Heisenberg spin equation\nto the investigations in magnetohydrostatics given by Schief (Plasma Physics\nJ.-2003).",
    "arxiv_id": "physics/0510057",
    "authors": [
      "L. C. Garcia de Andrade"
    ],
    "categories": [
      "physics.plasm-ph"
    ],
    "title": "MHD dynamo generation via Riemannian soliton theory",
    "url": "https://arxiv.org/abs/physics/0510057"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6196a58d-fe2d-4ae9-86aa-ac47bd1af033",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}