{"id":"W2034576891","doi":"10.1016/j.physd.2006.10.005","title":"Effective integration of the nonlinear vector Schrödinger equation","year":2006,"lang":"en","type":"article","venue":"Physica D Nonlinear Phenomena","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":33,"is_retracted":false,"has_abstract":false,"ca_institutions":"Concordia University","funders":"Engineering and Physical Sciences Research Council; Danmarks Tekniske Universitet; Imperial College London; National Science Foundation","keywords":"Jacobian matrix and determinant; Mathematics; Nonlinear system; Prime (order theory); Riemann hypothesis; Mathematical analysis; Exponential function; Transcendental equation; Elliptic function; Variety (cybernetics); Surface (topology); Component (thermodynamics); Pure mathematics; Applied mathematics; Differential equation; Physics; Geometry","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":[],"consensus_categories":[],"category_scores_codex":[0.0001269804,0.00022221,0.0002749699,0.00004899636,0.000169096,0.00004133403,0.0002446167,0.00003596526,0.0001096743],"category_scores_gemma":[0.00001150695,0.0001590816,0.0002520401,0.0003730624,0.0001188691,0.0001615467,0.00008883026,0.0002269474,0.00006422778],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004366431,"about_ca_system_score_gemma":0.00006336813,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004761647,"about_ca_topic_score_gemma":0.00001104672,"domain_scores_codex":[0.9987603,0.00009249791,0.0003355951,0.000277794,0.0002630035,0.0002707396],"domain_scores_gemma":[0.9990146,0.0001193932,0.0002541055,0.0004148725,0.0001524377,0.00004456376],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.0002366439,0.007185446,0.01935377,0.0001612276,0.0006256139,0.000001288348,0.002579742,0.005207864,0.5130733,0.320304,0.002017271,0.1292538],"study_design_scores_gemma":[0.003749327,0.0005434793,0.05654269,0.0003286,0.0004039121,0.000001156083,0.0009673203,0.2689625,0.5822827,0.04590272,0.03879708,0.001518577],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9625776,0.00004426125,0.004993305,0.0003953206,0.0004220669,0.0008587633,0.0003506185,0.00005563684,0.03030246],"genre_scores_gemma":[0.9913878,6.069349e-7,0.003107875,0.00002595523,0.004578855,0.00003821595,0.000196263,0.00003613215,0.0006283198],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2744013,"threshold_uncertainty_score":0.6487161,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01000803556467275,"score_gpt":0.2440014376507276,"score_spread":0.2339934020860548,"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."}}