{"id":"W1998782624","doi":"10.5539/jmr.v4n1p2","title":"On Linearized Korteweg-de Vries Equations","year":2012,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Korteweg–de Vries equation; Mathematics; Ansatz; Mathematical analysis; Nonlinear system; Mathematical physics; Dispersionless equation; Connection (principal bundle); Differential equation; Work (physics); Kadomtsev–Petviashvili equation; Physics; Geometry; Quantum mechanics; Characteristic equation","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002524484,0.00007040174,0.0001789206,0.0001643861,0.0001492123,0.00007203523,0.0001932494,0.00003135576,0.0006289222],"category_scores_gemma":[0.0002875828,0.00005140193,0.00012464,0.0001528203,0.00006342454,0.0001285019,0.00004741649,0.0005321735,0.0001349488],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003975112,"about_ca_system_score_gemma":0.0001553488,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001206083,"about_ca_topic_score_gemma":3.797414e-7,"domain_scores_codex":[0.9985787,0.0001151926,0.000328049,0.00004338826,0.0005648475,0.0003698539],"domain_scores_gemma":[0.998116,0.001074561,0.0001409892,0.0001714869,0.0002996219,0.0001973512],"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":[0.00004168693,0.003165413,0.004161271,0.00008072447,0.0002633672,0.000006550747,0.007734728,0.0002248559,0.004453133,0.9652188,0.01096865,0.00368079],"study_design_scores_gemma":[0.002835762,0.0009286189,0.001969169,0.0005780672,0.0001290783,0.00004857227,0.01994019,0.02813317,0.01630799,0.8979456,0.03064946,0.0005342899],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8680317,0.0001229538,0.08636067,0.001206545,0.0002788321,0.0002015034,0.00002540323,0.000009106251,0.04376326],"genre_scores_gemma":[0.980471,0.000005526033,0.01625818,0.00001396751,0.001197046,0.000002608517,0.000001941693,0.00001571161,0.002034001],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1124393,"threshold_uncertainty_score":0.6886257,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1272474908948597,"score_gpt":0.4460109415421469,"score_spread":0.3187634506472872,"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."}}