{"paper":{"title":"Lattice and q-difference Darboux-Zakharov-Manakov systems via $\\bar{\\partial}$-dressing method","license":"","headline":"","cross_cats":["math.QA","nlin.SI","q-alg"],"primary_cat":"solv-int","authors_text":"B.G. Konopelchenko (Dipartimento di Fisica dell'Universit\\`a, Italy), Landau Institute for Theoretical Physics, Lecce, L.V. Bogdanov (IINS, Russia)","submitted_at":"1995-01-28T03:53:19Z","abstract_excerpt":"A general scheme is proposed for introduction of lattice and q-difference variables to integrable hierarchies in frame of $\\bar{\\partial}$-dressing method . Using this scheme, lattice and q-difference Darboux-Zakharov-Manakov systems of equations are derived. Darboux, B\\\"acklund and Combescure transformations and exact solutions for these systems are studied."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"solv-int/9501007","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}