{"id":"W4401189877","doi":"10.4236/jamp.2024.127160","title":"A Modified Transitional Korteweg-De Vries Equation: Posed in the Quarter Plane","year":2024,"lang":"en","type":"article","venue":"Journal of Applied Mathematics and Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Wellesley College","keywords":"Korteweg–de Vries equation; Mathematics; Plane (geometry); Mathematical analysis; Quarter (Canadian coin); Mathematical physics; Physics; Well-posed problem; Applied mathematics; Geometry; Nonlinear system; Geography","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002766244,0.00008722381,0.000156945,0.00002233555,0.00004595392,0.0001153802,0.00007909887,0.00002122664,0.00002507238],"category_scores_gemma":[6.978441e-7,0.00005600775,0.00007493389,0.00008437976,0.00003051135,0.00006259166,0.000006015565,0.0002043082,0.000003489791],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007259866,"about_ca_system_score_gemma":0.000058816,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002889961,"about_ca_topic_score_gemma":4.798902e-7,"domain_scores_codex":[0.9994102,0.000008127594,0.0002538463,0.00005829408,0.0001635736,0.0001059218],"domain_scores_gemma":[0.9996337,0.0001662986,0.00007707811,0.00006932687,0.00002261532,0.00003096266],"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":[0.00001586675,0.0001845535,0.00001209849,0.00008143173,0.00006791402,0.000006809351,0.0157741,0.0005168876,0.001016812,0.978476,0.0004118116,0.003435757],"study_design_scores_gemma":[0.0004067369,0.00004619853,0.0001081789,0.00008751264,0.0000630285,0.00001643511,0.004861261,0.04542083,0.0002879752,0.9478636,0.0007291192,0.0001091676],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6908957,0.0001389165,0.278587,0.001734473,0.0001427473,0.0002566564,0.00009270302,0.00001139857,0.0281404],"genre_scores_gemma":[0.99123,0.000006215526,0.0079156,0.00007170434,0.0007376116,0.000003720822,0.00001086562,0.000008877515,0.00001537342],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3003344,"threshold_uncertainty_score":0.228393,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01851694964329056,"score_gpt":0.2553052698817434,"score_spread":0.2367883202384528,"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."}}