{
  "annotation_id": "48db92e5-1717-4d92-b917-c4a7d8dc269f",
  "date_created": "2026-03-02T18:00:28.861000Z",
  "date_modified": "2026-03-02T18:00:28.861000Z",
  "file_hash": "9c102b42dfa17a108c8d836dc2e12cc978c513933fdc8b70fbfd66dd96b67b4e",
  "private": false,
  "record": {
    "abstract": "The stability of the bright solitary wave solution to the perturbed\ncubic-quintic Schroedinger equation is considered. It is shown that in a\ncertain region of parameter space these solutions are unstable, with the\ninstability being manifested as a small positive eigenvalue. Furthermore, it is\nshown that in the complimentary region of parameter space there are no small\nunstable eigenvalues. The proof involves a novel calculation of the Evans\nfunction, which is of interest in its own right. As a consequence of the\neigenvalue calculation, it is additionally shown that N-bump bright solitary\nwaves bifurcate from the primary wave.",
    "arxiv_id": "patt-sol/9701011",
    "authors": [
      "Todd Kapitula"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1016/S0167-2789(97)00245-5",
    "title": "Stability criterion for bright solitary waves of the perturbed   cubic-quintic Schroedinger equation",
    "url": "https://arxiv.org/abs/patt-sol/9701011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "343b1e18-598b-4653-b7ef-d3c9a840f95e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}