{"id":"W1977275615","doi":"10.1023/b:nody.0000027746.31782.6e","title":"Equivalence Classes and Symmetries of the Variable Coefficient Kadomtsev—Petviashvili Equation","year":2004,"lang":"en","type":"article","venue":"Nonlinear Dynamics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":10,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Kadomtsev–Petviashvili equation; Homogeneous space; Variable coefficient; Equivalence (formal languages); Invariant (physics); Pure mathematics; Equivalence relation; Symmetry group; Mathematical analysis; Mathematical physics; Characteristic equation; Differential equation; 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":[0.0006247796,0.0003653303,0.0007023207,0.000966472,0.001552913,0.001963163,0.0007360472,0.000885853,0.00433439],"category_scores_gemma":[0.001224657,0.0002434482,0.0006660098,0.0005097548,0.00217438,0.00269786,0.001116165,0.001810893,0.0004426482],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001085835,"about_ca_system_score_gemma":0.0008881506,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001735676,"about_ca_topic_score_gemma":0.0007528217,"domain_scores_codex":[0.9997472,0.00005829437,0.00001480212,0.0000369483,0.00007809298,0.00006474852],"domain_scores_gemma":[0.9996562,0.00009584121,0.00006840454,0.00004653605,0.00006268138,0.00007035095],"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":[0.00001531226,0.00001502204,0.00009593074,0.000006488624,0.000002630447,0.00003994117,0.00009408434,0.0007182898,0.0006728776,0.9959907,0.0004341732,0.001914565],"study_design_scores_gemma":[0.00003075756,0.00001412651,0.0002818558,0.000005446057,0.000002668786,0.00007392358,0.00005370044,0.009278224,0.0002817684,0.9885261,0.001441641,0.000009817282],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7665641,0.001772273,0.07456397,0.002516634,0.0004343286,0.000114731,0.0003379875,0.0001135544,0.1535824],"genre_scores_gemma":[0.9791512,0.0005901917,0.005941387,0.0002130162,0.000250449,0.00007694502,0.0002403258,0.0000472277,0.01348915],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00433439,"threshold_uncertainty_score":0.01449996,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01025766106144006,"score_gpt":0.2411164537218845,"score_spread":0.2308587926604444,"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."}}