{
  "annotation_id": "e5cf4cf0-64fe-4979-b4dc-26167f4da689",
  "date_created": "2026-03-02T18:02:51.152000Z",
  "date_modified": "2026-03-02T18:02:51.152000Z",
  "file_hash": "22b4b3de875049cd93d1fb8ce6c6962ab958c1f424f47fc49f344e5342e8c8e7",
  "private": false,
  "record": {
    "abstract": "We show that the coupled mode equations for the stationary propagation of\nupper--hybrid and magnetoacoustic waves in magnetized electron--ion plasmas\nwith negative group dispersion can be exactly derived from the generalized\n\\Henon--Heiles Hamiltonian. The parameter regimes for the integrable cases of\nthe coupled mode equations have been explicitly obtained. For positive group\ndispersion of the upper--hybrid waves, the relevant governing equations lead to\na novel Hamiltonian where the kinetic energy is not positive definite.",
    "arxiv_id": "solv-int/9507005",
    "authors": [
      "N. N. Rao"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1016/0375-9601(95)00361-6",
    "title": "Henon-Heiles Hamiltonian for Coupled Upper-Hybrid and Magnetoacoutic   Waves in Magnetized Plasmas",
    "url": "https://arxiv.org/abs/solv-int/9507005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "505545ba-ef9e-4f1a-855c-c5dd8b10d0a2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}