{
  "annotation_id": "1f2e3a7d-87d7-4a81-aae4-faa708446df5",
  "date_created": "2026-03-02T18:01:25.129000Z",
  "date_modified": "2026-03-02T18:01:25.129000Z",
  "file_hash": "9251ab1add211ef6343aca78526558779a927e05e789f45f1097d7292d63f5be",
  "private": false,
  "record": {
    "abstract": "We solve the Vlasov equation for the longitudinal distribution function and\nfind stationary wave patterns when the distribution in the energy error is\nMaxwellian. In the long wavelength limit a stability criterion for linear waves\nhas been obtained, and a Korteweg-de Vries-Burgers equation for the relevant\nhydrodynamic quantities has been derived.",
    "arxiv_id": "physics/9907043",
    "authors": [
      "Stephan I. Tzenov"
    ],
    "categories": [
      "physics.acc-ph",
      "nlin.PS",
      "patt-sol",
      "physics.plasm-ph"
    ],
    "doi": "10.1063/1.1301899",
    "journal_ref": "AIP Conf.Proc. 496 (1999) 351-360",
    "title": "Nonlinear Longitudinal Waves in High Energy Stored Beams",
    "url": "https://arxiv.org/abs/physics/9907043"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "19923b29-5cf1-4a38-aa9e-b5ba04d257ee",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}