{
  "abstract": "We consider a one-dimensional coupled defocusing Schrödinger system with a nonzero background in its first component and finite mass in its second component. We prove global well-posedness in the full energy space, together with conservation of energy, bright mass, and total untwisted momentum. For all nonnegative coupling coefficients, every subsonic Gross--Pitaevskii soliton with vanishing second component is orbitally stable against perturbations of both components, including the zero-speed black soliton. At nonzero speed the proof uses a fixed energy--momentum functional augmented by the conserved bright mass. At zero speed it uses weighted coercivity and a local real lift of the momentum. We also identify the sharp threshold for positivity of the unaugmented bright energy and explain why this threshold is not a necessary condition for orbital stability.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.24261",
  "author_total": 3,
  "authors": [
    {
      "name": "Michał Kowalczyk"
    },
    {
      "name": "Jarosław Mederski"
    },
    {
      "name": "Isidora Miranda"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6atdhn291qeek.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.24261",
  "fulltext_url": null,
  "id": "6atdhn291qeek",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.24261",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2610|Advanced Mathematical Physics Problems"
    ]
  ],
  "openalex": "W7222998448",
  "pdf_url": "https://arxiv.org/pdf/2610.24261",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6atdhn291qeek.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.24261",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.24261"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Global well-posedness and orbital stability of the Gross--Pitaevskii branch in a coupled defocusing Schrödinger system",
  "title_text": "Global well-posedness and orbital stability of the Gross--Pitaevskii branch in a coupled defocusing Schrödinger system",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/6atdhn291qeek",
  "venue": "arXiv",
  "versions": []
}