{"id":"W2156392985","doi":"10.1016/j.jde.2015.01.018","title":"Orbital stability in the cubic defocusing NLS equation: I. Cnoidal periodic waves","year":2015,"lang":"en","type":"preprint","venue":"Journal of Differential Equations","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Floquet theory; Periodic wave; Mathematical analysis; Mathematics; Physics; Period (music); Periodic function; Operator (biology); Amplitude; Subharmonic; Integer (computer science); Cnoidal wave; Classical mechanics; Mathematical physics; Nonlinear system; Wave equation; Quantum mechanics; Traveling wave","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00196222,0.0004138489,0.0009609562,0.000262675,0.0001660842,0.0002964565,0.0008699433,0.0002687751,0.0001743523],"category_scores_gemma":[0.004294626,0.0002851272,0.0004809464,0.0002878718,0.000201786,0.0003829592,0.000427365,0.001795771,0.00001487883],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004787531,"about_ca_system_score_gemma":0.0007467914,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000145216,"about_ca_topic_score_gemma":0.00003967892,"domain_scores_codex":[0.9953772,0.0005844182,0.001983899,0.0003062739,0.001376349,0.0003718166],"domain_scores_gemma":[0.9942824,0.002172114,0.001848336,0.000742206,0.0008028428,0.0001520667],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0003775847,0.01010441,0.0004394758,0.003741723,0.00105246,0.0001435005,0.06728989,0.01956038,0.007869184,0.8822513,0.002196665,0.00497348],"study_design_scores_gemma":[0.0006980862,0.0001128562,0.0001275612,0.0003856019,0.0003039364,0.00002670023,0.001097984,0.007510339,0.000348029,0.9890918,0.00001101354,0.000286151],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.505517,0.0001766092,0.4917229,0.000630076,0.0005860129,0.000620064,0.00003484132,0.00002321669,0.0006893222],"genre_scores_gemma":[0.9851823,0.000007856654,0.01402358,0.00002090965,0.0006224472,0.00004086229,0.00002441077,0.00004835673,0.00002924941],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4796653,"threshold_uncertainty_score":0.9999601,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.178953377806541,"score_gpt":0.3648229299866702,"score_spread":0.1858695521801292,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}