{"id":"W2615985348","doi":"10.3934/dcdss.2018035","title":"Conservation laws and symmetries of time-dependent generalized KdV equations","year":2017,"lang":"en","type":"preprint","venue":"Discrete and Continuous Dynamical Systems - S","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Brock University","funders":"","keywords":"Conservation law; Korteweg–de Vries equation; Homogeneous space; Hamiltonian (control theory); Mathematics; Mathematical physics; Hamiltonian system; Applied mathematics; Physics; Mathematical analysis; Nonlinear system; Mathematical optimization; Quantum mechanics; 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":[0.0002078466,0.0002743255,0.0007362808,0.00006398093,0.0002051715,0.0003254324,0.0001917444,0.0001814734,0.00001985185],"category_scores_gemma":[0.00003591187,0.0002381489,0.0001397477,0.00002938041,0.0001951162,0.00007902414,0.000372998,0.0002628756,0.000003383307],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001522603,"about_ca_system_score_gemma":0.00006211959,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.008101648,"about_ca_topic_score_gemma":0.00005738344,"domain_scores_codex":[0.9985261,0.0001267477,0.0005152285,0.0004029917,0.000201744,0.0002272026],"domain_scores_gemma":[0.9986094,0.0001334712,0.0005098988,0.00045608,0.0001702343,0.0001209337],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000259428,0.0006719787,0.1427283,0.002272604,0.003397749,0.00002185768,0.002055648,0.0008531861,0.006318318,0.8151564,0.001588803,0.02467572],"study_design_scores_gemma":[0.006207946,0.0003680293,0.01384806,0.002521911,0.001593788,0.00001356522,0.002495921,0.9100391,0.0003623478,0.05235781,0.007470593,0.002720902],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9663767,0.001448084,0.02103137,0.000511603,0.0004979636,0.001019589,0.002358368,0.00004498269,0.006711391],"genre_scores_gemma":[0.9940905,0.00004133191,0.0001823527,0.00001536108,0.0003177765,0.00005457733,0.0007539726,0.00002696373,0.004517165],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9091859,"threshold_uncertainty_score":0.9985035,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01218743701159175,"score_gpt":0.2641086868648136,"score_spread":0.2519212498532219,"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."}}