{
  "annotation_id": "94d1ec93-9fb5-4d77-90d1-f5b01ee756a0",
  "date_created": "2026-03-02T18:00:49.588000Z",
  "date_modified": "2026-03-02T18:00:49.588000Z",
  "file_hash": "3030603889ee0c6d89f2852c28d63534bed7cccbc20b04ec8080cdb20823405e",
  "private": false,
  "record": {
    "abstract": "The linear and nonlinear properties of the Rao-dust-magnetohydrodynamic\n(R-D-MHD) waves in a dusty magnetoplasma are studied. By employing the\ninertialess electron equation of motion, inertial ion equation of motion,\nAmp\\`ere\u0027s law, Faraday\u0027s law, and the continuity equation in a plasma with\nimmobile charged dust grains, the linear and nonlinear propagation of\ntwo-dimensional R-D-MHD waves are investigated. In the linear regime, the\nexistence of immobile dust grains produces the Rao cutoff frequency, which is\nproportional to the dust charge density and the ion gyrofrequency. On the other\nhand, the dynamics of an amplitude modulated R-D-MHD waves is governed by the\ncubic nonlinear Schroedinger equation. The latter has been derived by using the\nreductive perturbation technique and the two-timescale analysis which accounts\nfor the harmonic generation nonlinearity in plasmas. The stability of the\nmodulated wave envelope against non-resonant perturbations is studied. Finally,\nthe possibility of localized envelope excitations is discussed.",
    "arxiv_id": "physics/0402050",
    "authors": [
      "I. Kourakis",
      "P. K. Shukla"
    ],
    "categories": [
      "physics.plasm-ph",
      "physics.space-ph"
    ],
    "doi": "10.1063/1.1645793",
    "title": "Linear and nonlinear properties of Rao-dust-Alfv\\\u0027en waves in magnetized   plasmas",
    "url": "https://arxiv.org/abs/physics/0402050"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e7f4e073-e75d-403e-9d30-b84656a89b74",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}