{
  "annotation_id": "85a9f319-b99c-4520-86c2-67683a74056b",
  "date_created": "2026-03-02T18:02:50.818000Z",
  "date_modified": "2026-03-02T18:02:50.818000Z",
  "file_hash": "94b7c9e3d30ac0ba774098bc182e6b4a9efd821a4f9b5ccd7a18fb21d1dabbf6",
  "private": false,
  "record": {
    "abstract": "We study the direct spectral transform for the heat equation, associated with\nthe KP-2 equation. We show, that for real nonsingular exponentially decaying at\ninfinity potentials the direct problem is nonsingular for arbitrary large\npotentials. Earlier this statement was proved only for potentials, satisfying\nthe ``small norm\u0027\u0027 assumption.",
    "arxiv_id": "solv-int/9509010",
    "authors": [
      "P. G. Grinevich"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "Nonsingularity of the direct scattering transform for the KP-2 equation   with real exponentially decaying at infinity potential",
    "url": "https://arxiv.org/abs/solv-int/9509010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "91db9b44-2e14-4e98-82c0-c04c429f71ac",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}