{"paper":{"title":"Generation of higher-order rogue waves from multi-breathers by double degeneracy in an optical fibre","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"nlin.SI","authors_text":"Hui Xu, Jingsong He, Ji Wang, Lihong Wang","submitted_at":"2017-04-06T10:45:46Z","abstract_excerpt":"In this paper, we construct a special kind of breather solution of the nonlinear Schr\\\"{o}dinger (NLS) equation, the so-called breather-positon ({\\it b-positon} for short), which can be obtained by taking the limit $\\lambda_{j}$ $\\rightarrow$ $\\lambda_{1}$ of the Lax pair eigenvalues in the order-$n$ periodic solution which is generated by the $n$-fold Darboux transformation from a special \"seed\" solution--plane wave. Further, an order-$n$ {\\it b-positon} gives an order-$n$ rogue wave under a limit $\\lambda_1\\rightarrow \\lambda_0$. Here $\\lambda_0$ is a special eigenvalue in a breather of the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.01778","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"}