{
  "annotation_id": "a0afd7b7-94bf-4958-a8bc-637e4a3ac416",
  "date_created": "2026-03-02T18:01:52.866000Z",
  "date_modified": "2026-03-02T18:01:52.866000Z",
  "file_hash": "900767b5dc2f85989c80d2a2869241946e0597aab9f51e8cf73cdb2712a0e98c",
  "private": false,
  "record": {
    "abstract": "We introduce a numerical method for general coupled Korteweg-de Vries\nsystems. The scheme is valid for solving Cauchy problems for arbitrary number\nof equations with arbitrary constant coefficients. The numerical scheme takes\nits legality by proving its stability and convergence which gives the\nconditions and the appropriate choice of the grid sizes. The method is applied\nto Hirota-Satsuma (HS) system and compared with its known explicit solution\ninvestigating the influence of initial conditions and grid sizes on accuracy.\nWe also illustrate the method to show the effects of constants with a\ntransition to the non-integrable case.",
    "arxiv_id": "quant-ph/0209160",
    "authors": [
      "A. Halim",
      "S. Kshevetskii",
      "S. Leble"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "On numerical integration of coupled Korteweg-de Vries System",
    "url": "https://arxiv.org/abs/quant-ph/0209160"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cc2784dc-692b-4039-9974-e58b2a0a2fb5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}