{
  "abstract": "Higher-order semi-rational solutions are constructed for the (2+1)-dimensional nonlocal multi-component Yajima-Oikawa system. This system is obtained from its local \\(2M\\)-component counterpart through a spatial-reflection reduction. Using Hirota's bilinear method and the Kadomtsev-Petviashvili hierarchy reduction, we derive a unified \\(6\\times6\\) block Gram determinant. Its entries involve Schur polynomials and exponential functions. The complex-conjugation and spatial-reflection reductions are imposed through algebraic constraints on the spectral parameters and determinant blocks, with the former ensuring a real-valued denominator tau function. Separate spectral parameter sets are assigned to the rational, breather, and dark-soliton blocks. These solutions describe paired lumps or line rogue waves on breather, dark-soliton, or combined backgrounds. Pure rational, breather, and dark-soliton solutions follow by setting the appropriate block sizes to zero. Asymptotic analysis establishes the elastic interactions of the fundamental breather and dark-soliton pairs and determines their position and phase shifts.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.14949",
  "author_total": 5,
  "authors": [
    {
      "name": "Wenqiang Lu"
    },
    {
      "name": "Kelei Tian"
    },
    {
      "name": "Ying Xu"
    },
    {
      "name": "Ge Yi"
    },
    {
      "name": "Xiaoming Zhu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6xmsxh56nkhwd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.14949",
  "fulltext_url": null,
  "id": "6xmsxh56nkhwd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.14949",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "nlin.SI"
    ],
    [
      "openalex",
      "3109|Nonlinear Waves and Solitons"
    ]
  ],
  "openalex": "W7221772841",
  "pdf_url": "https://arxiv.org/pdf/2610.14949",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6xmsxh56nkhwd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2610.14949",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.14949"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:nlin.SI",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Higher-order semi-rational solutions of the (2+1)-dimensional nonlocal multi-component Yajima--Oikawa system",
  "title_text": "Higher-order semi-rational solutions of the (2+1)-dimensional nonlocal multi-component Yajima--Oikawa system",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/6xmsxh56nkhwd",
  "venue": "arXiv",
  "versions": []
}