{
  "annotation_id": "3c28708e-c03d-4beb-b552-448cc6daa4b8",
  "date_created": "2026-03-02T18:01:03.480000Z",
  "date_modified": "2026-03-02T18:01:03.480000Z",
  "file_hash": "7d284d268e0818b50113d3cdcee5888bf952e2059e75e35a05242b02877df43a",
  "private": false,
  "record": {
    "abstract": "We address basic properties and stability of two-dimensional solitons in\nphotonic lattices induced by the nondiffracting Mathieu beams. Such lattices\nallow for smooth topological transformation of radially symmetric Bessel\nlattices into quasi-one-dimensional periodic ones. The transformation of\nlattice topology drastically affects properties of ground-state and dipole-mode\nsolitons, including their shape, stability and transverse mobility.",
    "arxiv_id": "physics/0510132",
    "authors": [
      "Yaroslav V. Kartashov",
      "Alexey A. Egorov",
      "Victor A. Vysloukh",
      "Lluis Torner"
    ],
    "categories": [
      "physics.optics",
      "nlin.PS"
    ],
    "doi": "10.1364/OL.31.000238",
    "journal_ref": "Optics Letters 31, 238 (2006)",
    "title": "Shaping soliton properties in optical Mathieu lattices",
    "url": "https://arxiv.org/abs/physics/0510132"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d31d061e-1b21-4d7a-b7fb-30cf8b6e6b0a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}