{
  "annotation_id": "50bf4399-e307-43d9-a0d4-2d4731b61f0b",
  "date_created": "2026-03-02T18:02:51.388000Z",
  "date_modified": "2026-03-02T18:02:51.388000Z",
  "file_hash": "ef015563022d0ed1f53a670acfc8f06ddf1756655bcb8744a0085c161b9b1a69",
  "private": false,
  "record": {
    "abstract": "We study a family of fermionic extensions of the Camassa-Holm equation.\nWithin this family we identify three interesting classes: (a) equations, which\nare inherently hamiltonian, describing geodesic flow with respect to an H^1\nmetric on the group of superconformal transformations in two dimensions, (b)\nequations which are hamiltonian with respect to a different hamiltonian\nstructure and (c) supersymmetric flow equations. Classes (a) and (b) have no\nintersection, but the intersection of classes (a) and (c) gives a candidate for\na new supersymmetric integrable system. We demonstrate the Painlev\\\u0027e property\nfor some simple but nontrivial reductions of this system.",
    "arxiv_id": "solv-int/9811016",
    "authors": [
      "Chandrashekar Devchand",
      "Jeremy Schiff"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "math-ph",
      "math.DG",
      "math.MP",
      "nlin.SI"
    ],
    "doi": "10.1063/1.1330196",
    "journal_ref": "J.Math.Phys. 42 (2001) 260-273",
    "title": "The supersymmetric Camassa-Holm equation and geodesic flow on the   superconformal group",
    "url": "https://arxiv.org/abs/solv-int/9811016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "739e2b23-2d84-4744-a471-4d83cf29f767",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}