{
  "annotation_id": "c59783c6-fe3e-419d-b695-d95874354536",
  "date_created": "2026-03-02T18:01:21.405000Z",
  "date_modified": "2026-03-02T18:01:21.405000Z",
  "file_hash": "578297b2afb619774934c32a751af940b07825abaa651b200b141457d183e03c",
  "private": false,
  "record": {
    "abstract": "We apply expansion methods to obtain an approximate expression in terms of\nelementary functions for the space and time dependence of wave packets in a\ndispersive medium. The specific application to pulses in a cold plasma is\nconsidered in detail, and the explicit analytic formula that results is\nprovided. When certain general initial conditions are satisfied, these\nexpressions describe the packet evolution quite well. We conclude by employing\nthe method to exhibit aspects of dispersive pulse propagation in a cold plasma,\nand suggest how predicted and experimental effects may be compared to improve\nthe theoretical description of a medium\u0027s dispersive properties.",
    "arxiv_id": "physics/9704026",
    "authors": [
      "Borge Nodland"
    ],
    "categories": [
      "physics.class-ph",
      "physics.plasm-ph"
    ],
    "doi": "10.1103/PhysRevE.55.3647",
    "journal_ref": "Phys.Rev. E55 (1997) 3647",
    "title": "Approximate Analytic Solution for the Spatiotemporal Evolution of Wave   Packets undergoing Arbitrary Dispersion",
    "url": "https://arxiv.org/abs/physics/9704026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "11462b77-cf20-4f48-b0be-22bad1ed53ae",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}