{
  "annotation_id": "0932944e-a084-45af-a2a3-e13ebfa566ae",
  "date_created": "2026-03-02T18:00:29.316000Z",
  "date_modified": "2026-03-02T18:00:29.316000Z",
  "file_hash": "416d16bae8c76924a523852b197c9406e18294001dc128e67db8bb9d776edde3",
  "private": false,
  "record": {
    "abstract": "We present a detailed analysis of the modulational instability (MI) of\nground-state bright solitary solutions of two incoherently coupled nonlinear\nSchr\\\"odinger equations. Varying the relative strength of cross-phase and\nself-phase effects we show existence and origin of four branches of MI of the\ntwo-wave solitary solutions. We give a physical interpretation of our results\nin terms of the group velocity dispersion (GVD) induced polarization dynamics\nof spatial solitary waves. In particular, we show that in media with normal GVD\nspatial symmetry breaking changes to polarization symmetry breaking when the\nrelative strength of the cross-phase modulation exceeds a certain threshold\nvalue. The analytical and numerical stability analyses are fully supported by\nan extensive series of numerical simulations of the full model.",
    "arxiv_id": "patt-sol/9906006",
    "authors": [
      "Dmitry V. Skryabin",
      "William J. Firth"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.60.6242.2",
    "title": "Modulational instability of bright solitary waves in incoherently   coupled nonlinear Schr\\\"odinger equations",
    "url": "https://arxiv.org/abs/patt-sol/9906006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "542c2328-13ab-4260-ad91-de13e70a0e2a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}