{"paper":{"title":"Construction of smooth chiral finite-time blow-up solutions to Calogero--Moser derivative nonlinear Schr\\\"odinger equation","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Kihyun Kim, Soonsik Kwon, Taegyu Kim","submitted_at":"2024-04-15T09:18:34Z","abstract_excerpt":"We consider the Calogero--Moser derivative nonlinear Schr\\\"odinger equation (CM-DNLS), which is an $L^{2}$-critical nonlinear Schr\\\"odinger equation with explicit solitons, self-duality, and pseudo-conformal symmetry. More importantly, this equation is known to be completely integrable in the Hardy space $L_{+}^{2}$ and the solutions in this class are referred to as \\emph{chiral} solutions. A rigorous PDE analysis of this equation with complete integrability was recently initiated by G\\'erard and Lenzmann.\n  Our main result constructs smooth, chiral, and finite energy finite-time blow-up solut"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.09603","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2404.09603/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}