{
  "annotation_id": "d1547008-74af-4a89-a9eb-27a484e11ef4",
  "date_created": "2026-03-02T18:00:28.668000Z",
  "date_modified": "2026-03-02T18:00:28.668000Z",
  "file_hash": "8e0d4f8a0ee79062f7d43de101feb57837ed98816095b39aa7155e3c15a1272d",
  "private": false,
  "record": {
    "abstract": "General asymptotic approach to the stability problem of multi-parameter\nsolitons in Hamiltonian systems $i\\partial E_n/\\partial z=\\delta H/\\delta\nE_n^*$ has been developed. It has been shown that asymptotic study of the\nsoliton stability can be reduced to the calculation of a certain sequence of\nthe determinants, where the famous determinant of the matrix consisting from\nthe derivatives of the system invariants with respect to the soliton parameters\nis just the first in the series. The presented approach gives first analytical\ncriterion for the oscillatory instability and also predicts novel stationary\ninstability. Higher order approximations allow to calculate corresponding\neigenvalues with arbitrary accuracy.",
    "arxiv_id": "patt-sol/9906003",
    "authors": [
      "Dmitry V. Skryabin"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "title": "Stability of multi-parameter solitons: Asymptotic approach",
    "url": "https://arxiv.org/abs/patt-sol/9906003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9f7e7f4a-33b0-4daa-a383-a6ba49afeaf4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}