{
  "annotation_id": "6de9c575-8170-444e-a226-d322180bcde1",
  "date_created": "2026-03-02T18:02:51.518000Z",
  "date_modified": "2026-03-02T18:02:51.518000Z",
  "file_hash": "a2ea3ad255e312733d108445a8dc526863ffa3e2ecf3b7656a7adfa72ced8b81",
  "private": false,
  "record": {
    "abstract": "\\We consider an inverse scattering problem for Schr\\\"odinger operators with\nenergy dependent potentials. The inverse problem is formulated as a\nRiemann-Hilbert problem on a Riemann surface. A vanishing lemma is proved for\ntwo distinct symmetry classes. As an application we prove global existence\ntheorems for the two distinct systems of partial differential equations\n$u_t+(u^2/2+w)_x=0, w_t\\pm u_{xxx}+(uw)_x=0$ for suitably restricted,\ncomplementary classes of initial data.",
    "arxiv_id": "solv-int/9712013",
    "authors": [
      "David H. Sattinger",
      "Jacek Szmigielski"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1088/0266-5611/12/6/014",
    "journal_ref": "Inverse Problems 12 (1996) 1003-1025",
    "title": "A Riemann-Hilbert Problem for an Energy Dependent Schr\\\"odinger Operator",
    "url": "https://arxiv.org/abs/solv-int/9712013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5378266b-713d-4b26-8803-f37672f562ca",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}