{"id":"W3037439672","doi":"10.1007/s10884-021-10000-w","title":"Periodic Waves in the Fractional Modified Korteweg–de Vries Equation","year":2021,"lang":"en","type":"preprint","venue":"Journal of Dynamics and Differential Equations","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Sign (mathematics); Bifurcation; Mathematical analysis; Positive-definite matrix; Pure mathematics; Norm (philosophy); Quadratic equation; Mathematical physics; Eigenvalues and eigenvectors; Physics; Nonlinear system; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005205552,0.0009480037,0.001242901,0.001033848,0.0009103774,0.002431911,0.00146059,0.00264478,0.004312075],"category_scores_gemma":[0.002274066,0.0004977306,0.0008722162,0.0006779623,0.002216096,0.003321668,0.001428772,0.001818903,0.0003720433],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001259401,"about_ca_system_score_gemma":0.001004223,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003724185,"about_ca_topic_score_gemma":0.001714459,"domain_scores_codex":[0.9997362,0.00008342232,0.00001401012,0.00003997299,0.00008001504,0.00004632541],"domain_scores_gemma":[0.9995647,0.0001340304,0.00008712563,0.00004090052,0.0000856869,0.00008757005],"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":[0.0001015527,0.00004531786,0.0003264343,0.00006885328,0.00003730679,0.0005065193,0.0001933651,0.02547592,0.004664003,0.9631572,0.001269846,0.004153642],"study_design_scores_gemma":[0.00009662224,0.00004441265,0.0007581953,0.00003388003,0.00002811784,0.0004407215,0.0001547755,0.4340687,0.0008608747,0.56084,0.002601661,0.00007212618],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6533514,0.004475219,0.2073455,0.0066524,0.001893431,0.0001150139,0.0003705453,0.0002236975,0.1255728],"genre_scores_gemma":[0.926747,0.001525407,0.01560246,0.0004765107,0.0006765217,0.00006998615,0.0001900361,0.00012031,0.05459185],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004312075,"threshold_uncertainty_score":0.01442528,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06037503970026747,"score_gpt":0.3297380613324429,"score_spread":0.2693630216321754,"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."}}