{"paper":{"title":"Interaction of Tollmien-Schlichting Waves in the Air with the Sea Surface","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"nlin.PS","authors_text":"Harihar Khanal, Shahrdad G. Sajjadi","submitted_at":"2017-04-26T23:49:50Z","abstract_excerpt":"Linear stability of fully developed flows of air over water is carried out in order to study non-linear effects in the generation of solitons by wind. A linear stability analysis of the basic flow is made and the conditions at which solitons first begin to grow is determined. Then, following [10], the non-linear stability of the flow is examined and the quintic non-linear Schr\\\"{o}dinger equation is derived for the amplitude of disturbances. The coefficients of the non-linear Schr\\\"odinger equation are calculated from the eigenvalue problem which determines the stability of air-water interface"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.08948","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"}