{
  "annotation_id": "2688fc21-51a5-4171-8c6b-5339d8483fc3",
  "date_created": "2026-03-02T18:00:29.159000Z",
  "date_modified": "2026-03-02T18:00:29.159000Z",
  "file_hash": "841fc84d3bdffa07d75b899da7bf262408d6e16daef37245915b4a923bcbf96c",
  "private": false,
  "record": {
    "abstract": "We study traffic congestion by analyzing a one dimensional traffic flow\nmodel. Developing an asymptotic method to investigate the long time behavior\nnear a critical point, we derive the modified Korteweg-de Vries (mKdV) equation\nas the lowest order model. There are an infinite number of kink solitons to the\nmKdV equation, while it has been found by numerical simulations that the kink\npattern arising in traffic congestion is uniquely determined irrespective of\ninitial conditions. In order to resolve this selection problem, we consider\nhigher order corrections to the mKdV equation and find that there is a kink\nsoliton which can deform continuously with the perturbation represented by the\naddition of these corrections. With numerical confirmation, we show that this\ncontinuously deformable kink soliton characterizes traffic congestion. We also\ndiscuss the relationship between traffic congestion and slugging phenomenon in\ngranular flow.",
    "arxiv_id": "patt-sol/9506002",
    "authors": [
      "Teruhisa S. Komatsu",
      "Shin-ichi Sasa"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.52.5574",
    "title": "A Kink Soliton Characterizing Traffic Congestion",
    "url": "https://arxiv.org/abs/patt-sol/9506002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "020f7ce9-5402-4f81-9cf4-d7177b679ad5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}