{
  "annotation_id": "3c9ecb0c-3646-44e5-a357-57ba1b4eccb8",
  "date_created": "2026-03-02T18:02:51.148000Z",
  "date_modified": "2026-03-02T18:02:51.148000Z",
  "file_hash": "c9ba67531a4727c64aaab9e6e29ac9def148da2dac5e1bc77466a0eaed3cdfb8",
  "private": false,
  "record": {
    "abstract": "Analytic-bilinear approach is used to study continuous and discrete\nnon-isospectral symmetries of the generalized KP hierarchy. It is shown that\nM\\\"obius symmetry transformation for the singular manifold equation leads to\ncontinuous or discrete non-isospectral symmetry of the basic (scalar or\nmulticomponent KP) hierarchy connected with binary B\\\"acklund transformation. A\nmore general class of multicomponent M\\\"obius-type symmetries is studied. It is\ndemonstrated that symmetry constraints of KP hierarchy defined using\nmulticomponent M\\\"obius-type symmetries give rise to Calogero-Moser system.",
    "arxiv_id": "solv-int/9912005",
    "authors": [
      "L. V. Bogdanov",
      "B. G. Konopelchenko"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "Generalized KP hierarchy: M\\\"obius Symmetry, Symmetry Constraints and   Calogero-Moser System",
    "url": "https://arxiv.org/abs/solv-int/9912005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ffa276a0-4af3-474d-b6bd-7442150ca081",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}