{"paper":{"title":"On an integrable system related to the relativistic Toda lattice -B\\\"acklund transformation and integrable discretization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Guo-Fu Yu, Luc Vinet, Ying-Nan Zhang","submitted_at":"2015-02-10T01:26:26Z","abstract_excerpt":"We study an integrable system related to the relativistic Toda lattice. The bilinear representation of this lattice is given and the B\\\"ackulund transformation obtained. A fully discrete version is also introduced with its bilinear B\\\"acklund transformation and Lax pair. One-soliton solution of the discrete system is presented by use of B\\\"acklund transformation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02752","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"}