{"paper":{"title":"Rational Solutions to the ABS List: Transformation Approach","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Da-jun Zhang, Danda Zhang","submitted_at":"2017-02-04T11:14:19Z","abstract_excerpt":"In the paper we derive rational solutions for the lattice potential modified Korteweg-de Vries equation, and Q2, Q1($\\delta$), H3($\\delta$), H2 and H1 in the Adler-Bobenko-Suris list. B\\\"acklund transformations between these lattice equations are used. All these rational solutions are related to a unified $\\tau$ function in Casoratian form which obeys a bilinear superposition formula."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.01266","kind":"arxiv","version":3},"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"}