{
  "annotation_id": "9b17f38f-6b08-4f9b-b9ea-22ffae9174f0",
  "date_created": "2026-03-02T18:02:51.398000Z",
  "date_modified": "2026-03-02T18:02:51.398000Z",
  "file_hash": "0919aebf52b0156e577e315887c5318a366eeb0b8592d35129f3c60b97ca8c23",
  "private": false,
  "record": {
    "abstract": "A new (scalar) spectral decomposition is found for the Dirac system in two\ndimensions associated to the focusing Davey--Stewartson II (DSII) equation.\nDiscrete spectrum in the spectral problem corresponds to eigenvalues embedded\ninto a two-dimensional essential spectrum. We show that these embedded\neigenvalues are structurally unstable under small variations of the initial\ndata. This instability leads to the decay of localized initial data into\ncontinuous wave packets prescribed by the nonlinear dynamics of the DSII\nequation.",
    "arxiv_id": "solv-int/9907011",
    "authors": [
      "Dmitry E. Pelinovsky",
      "Catherine Sulem"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1088/0266-5611/16/1/306",
    "title": "Spectral decomposition for the Dirac system associated to the DSII   equation",
    "url": "https://arxiv.org/abs/solv-int/9907011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c3daca77-29d3-460b-9803-c5763c191492",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}