{
  "annotation_id": "646d4c16-fa10-4d22-ba64-218ee62d080b",
  "date_created": "2026-03-02T18:00:29.159000Z",
  "date_modified": "2026-03-02T18:00:29.159000Z",
  "file_hash": "e07d8ed4f3cb0591f56bba0524bbd088a4be7ea498fd131e358e9da770ee9ef8",
  "private": false,
  "record": {
    "abstract": "Modulational dynamics of oscillatory travelling rolls in magnetoconvection is\nstudied near the onset of a Hopf bifurcation. Using weakly nonlinear analysis,\nwe derive an envelope equation of oscillatory travelling rolls in the plane\nperpendicular to an ambient vertical magnetic field.The envelope equation is\nthe Davey-Stewartson (DS) equation with complex coefficients, from which we\nobtain criteria for the modulational (Benjamin-Feir) instability of oscillatory\ntravelling rolls.",
    "arxiv_id": "patt-sol/9610007",
    "authors": [
      "Ken-ichi Matsuba",
      "Kenji Imai",
      "Kazuhiro Nozaki"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1016/S0167-2789(97)00034-1",
    "title": "Nonlinear Modulation of Travelling Rolls in Magnetoconvection",
    "url": "https://arxiv.org/abs/patt-sol/9610007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c7d30c43-463d-44e9-a72d-ca3a8f2ef74c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}