{
  "annotation_id": "3358c812-e745-4142-9a57-578f6f3ec711",
  "date_created": "2026-03-02T18:00:39.616000Z",
  "date_modified": "2026-03-02T18:00:39.616000Z",
  "file_hash": "28a1a6e9c25d3beaa193d5e31b1c7db18b51395c29ff820ed15713a006e5e50b",
  "private": false,
  "record": {
    "abstract": "Based on the Vlasov-Maxwell equations describing the self-consistent\nnonlinear beam dynamics and collective processes, the evolution of an intense\nsheet beam propagating through a periodic focusing field has been studied. In\nan earlier paper [1] it has been shown that in the case of a beam with uniform\nphase space density the Vlasov-Maxwell equations can be replaced exactly by the\nmacroscopic warm fluid-Maxwell equations with a triple adiabatic pressure law.\nIn this paper we demonstrate that starting from the macroscopic fluid-Maxwell\nequations a nonlinear Schroedinger equation for the slowly varying wave\namplitude (or a set of coupled nonlinear Schroedinger equations for the wave\namplitudes in the case of multi-wave interactions) can be derived. Properties\nof the nonlinear Schroedinger equation are discussed, together with soliton\nformation in intense particle beams.",
    "arxiv_id": "physics/0205064",
    "authors": [
      "Stephan I. Tzenov",
      "Ronald C. Davidson"
    ],
    "categories": [
      "physics.acc-ph",
      "nlin.PS",
      "physics.plasm-ph"
    ],
    "title": "Solitary Waves in an Intense Beam Propagating Through a Smooth Focusing   Field",
    "url": "https://arxiv.org/abs/physics/0205064"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "09828db8-9dcc-4c82-b884-bea75594bcf6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}