{
  "annotation_id": "a324e1df-e2a7-4c05-b9b8-4ca67b82d809",
  "date_created": "2026-02-17T05:53:20.217000Z",
  "date_modified": "2026-02-17T05:53:20.217000Z",
  "file_hash": "903e987a1bc3c16c0a59f8249ca662cfb8996fc1a588ff30ec2fa351ce21e7ce",
  "private": false,
  "record": {
    "abstract": "In this paper the Mikhailov model is discretized by means of the Cauchy matrix approach. A pair of discrete Miura transformations are constructed. The discrete Mikhailov model is a coupled system, in which one equation comes from the compatibility of the two Miura transformations, the other is transformed from the discrete negative order Ablowitz-Kaup-Newell-Segur system by using the Miura transformations. Explicit solutions, including solitons and multiple-pole solutions, are presented via two Cauchy matrix schemes respectively, namely, the Ablowitz-Kaup-Newell-Segur type and the Kadomtsev-Petviashvili type. By straight continuum limits, semi-discrete and continuous Mikhailov models together with their Cauchy matrix structures and solutions are recovered.",
    "arxiv_id": "2601.09206",
    "authors": [
      "Song-lin Zhao",
      "Xiao-gang Mu",
      "Da-jun Zhang"
    ],
    "categories": [
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Discretization of the Mikhailov model",
    "url": "https://arxiv.org/abs/2601.09206",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cb9c7a73-9347-44f0-810e-499026ba3fd5",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}