{
  "annotation_id": "2c5dc8fc-5d75-4a65-8492-ebf766ad0757",
  "date_created": "2026-03-02T18:02:51.146000Z",
  "date_modified": "2026-03-02T18:02:51.146000Z",
  "file_hash": "8793df110342edfbe2a96a75c1fca5e7624daa7c9855b065b819da771d92fae1",
  "private": false,
  "record": {
    "abstract": "We study self-similar solutions of NLS-type dynamical systems. Lagrangian\napproach is used to show that they can be reduced to three canonical forms,\nwhich are related by Miura transformations. The fourth Painleve equation (PIV)\nis central in our consideration - it connects Heisenberg model, Volterra model\nand Toda model to each other. The connection between the rational solutions of\nPIV and Coulomb gas in a parabolic potential is established. We discuss also\nthe possibility to obtain an exact solution for optical soliton i.e. of the NLS\nequation with time-dependent dispersion.",
    "arxiv_id": "solv-int/9909021",
    "authors": [
      "M. Boiti",
      "V. G. Marikhin",
      "F. Pempinelli",
      "A. B. Shabat"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "Self-similar solutions of NLS-type dynamical systems",
    "url": "https://arxiv.org/abs/solv-int/9909021"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0e369cbb-5f02-461a-9c41-ff6392e77587",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}