{"paper":{"title":"Existence threshold for the ac-driven damped nonlinear Schr\\\"odinger solitons","license":"","headline":"","cross_cats":["nlin.PS"],"primary_cat":"patt-sol","authors_text":"E.V. Zemlyanaya, I.V. Barashenkov","submitted_at":"1999-05-28T08:10:22Z","abstract_excerpt":"It has been known for some time that solitons of the externally driven, damped nonlinear Schr\\\"odinger equation can only exist if the driver's strength, $h$, exceeds approximately $(2/ \\pi) \\gamma$, where $\\gamma$ is the dissipation coefficient. Although this perturbative result was expected to be correct only to the leading order in $\\gamma$, recent studies have demonstrated that the formula $h_{thr}= (2 /\\pi) \\gamma$ gives a remarkably accurate description of the soliton's existence threshold prompting suggestions that it is, in fact, exact. In this note we evaluate the next order in the exp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"patt-sol/9906001","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"}