{"id":"W1999420030","doi":"10.1063/1.2217809","title":"Long-time dynamics of variable coefficient modified Korteweg-de Vries solitary waves","year":2006,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Bounded function; Korteweg–de Vries equation; Mathematical physics; Function (biology); Mathematical analysis; Mathematics; Physics; Nonlinear system; Type (biology); Scale (ratio); Variable coefficient; Variable (mathematics); Quantum mechanics","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":[0.001194234,0.0004109197,0.001378526,0.0001061251,0.00009636593,0.00004642871,0.0005894914,0.0001704023,0.000119961],"category_scores_gemma":[0.0008041306,0.0003309585,0.0004650276,0.0004037668,0.0003952613,0.0003974507,0.0001671628,0.0005385648,0.00003624655],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002636544,"about_ca_system_score_gemma":0.000196607,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004160366,"about_ca_topic_score_gemma":7.326386e-7,"domain_scores_codex":[0.9960673,0.0001192657,0.001928663,0.0002323816,0.001059837,0.0005925212],"domain_scores_gemma":[0.9949378,0.002148899,0.001466662,0.0006012096,0.0006440902,0.0002013919],"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":[0.00005914623,0.002678,0.0000153114,0.001381358,0.000154641,0.00002062094,0.0003076429,0.008931761,0.004007441,0.9807401,0.00142225,0.0002817592],"study_design_scores_gemma":[0.0006808843,0.0001996633,0.00001704207,0.0005135956,0.0002707287,0.00008557893,0.000101198,0.07251514,0.005262276,0.9200535,0.000009042969,0.0002913537],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07628868,0.00006122581,0.9091051,0.0001998555,0.00008160548,0.0003221599,0.00003265828,0.00006009949,0.01384867],"genre_scores_gemma":[0.6351303,0.000008223698,0.3630184,0.00005477443,0.0004636249,0.00001005989,0.00001124396,0.0001378128,0.001165548],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5588416,"threshold_uncertainty_score":0.9999142,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01861516543324382,"score_gpt":0.2770196642668744,"score_spread":0.2584044988336305,"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."}}