{
  "annotation_id": "eb585f25-0079-45d4-a32f-8a6211022ac2",
  "date_created": "2026-03-02T18:02:51.395000Z",
  "date_modified": "2026-03-02T18:02:51.395000Z",
  "file_hash": "33f6428d6fec79bd04c24b8fe0577d5fef18ce6506fb231654e1508a4ecf9497",
  "private": false,
  "record": {
    "abstract": "An analysis of extension of Hamiltonian operators from lower order to higher\norder of matrix paves a way for constructing Hamiltonian pairs which may result\nin hereditary operators. Based on a specific choice of Hamiltonian operators of\nlower order, new local bi-Hamiltonian coupled KdV systems are proposed. As a\nconsequence of bi-Hamiltonian structure, they all possess infinitely many\nsymmetries and infinitely many conserved densities.",
    "arxiv_id": "solv-int/9807002",
    "authors": [
      "Wen-Xiu Ma",
      "Maxim Pavlov"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1016/S0375-9601(98)00555-6",
    "title": "Extending Hamiltonian Operators to Get Bi-Hamiltonian Coupled KdV   Systems",
    "url": "https://arxiv.org/abs/solv-int/9807002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "48d7788a-7d44-49f9-86ec-1cf1072a4b2e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}