{"id":"W4382142160","doi":"10.1016/j.padiff.2023.100519","title":"Galilei-invariant and energy-preserving extensions of Benjamin–Bona–Mahony-type equations","year":2023,"lang":"en","type":"article","venue":"Partial Differential Equations in Applied Mathematics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan","funders":"Agence Nationale de la Recherche","keywords":"Conservation law; Mathematics; Mathematical physics; Invariant (physics); Homogeneous space; Integrable system; Hamiltonian (control theory); Conservation of energy; Mathematical analysis; Kadomtsev–Petviashvili equation; Camassa–Holm equation; Nonlinear system; Burgers' equation; Classical mechanics; Partial differential equation; Physics; Quantum mechanics; 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":[0.0002973959,0.0005838372,0.0006370185,0.0005272042,0.0005655414,0.001118373,0.001123673,0.0011269,0.002640565],"category_scores_gemma":[0.0009218028,0.000198062,0.000941224,0.0004170408,0.00140074,0.001022001,0.001268347,0.001174455,0.000307134],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007764731,"about_ca_system_score_gemma":0.0009245463,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005911397,"about_ca_topic_score_gemma":0.003554121,"domain_scores_codex":[0.9998493,0.00003863197,0.000007009071,0.00001519197,0.0000502482,0.00003947831],"domain_scores_gemma":[0.9998203,0.00003547631,0.00004090095,0.00002675648,0.0000363447,0.0000402222],"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":[0.00009220039,0.00008950006,0.002545408,0.0001234586,0.00004800389,0.0006117812,0.0003110212,0.2636446,0.01232837,0.7026604,0.003226633,0.01431858],"study_design_scores_gemma":[0.00002711417,0.00002674549,0.001015737,0.00001364354,0.000007766681,0.0001382294,0.0000561545,0.9348938,0.000668197,0.06172321,0.001402361,0.00002687406],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.672623,0.001756125,0.2394657,0.001694547,0.0003635558,0.0001390885,0.0004688894,0.0003576674,0.08313139],"genre_scores_gemma":[0.9542536,0.0006466091,0.02943973,0.0002380083,0.0001571245,0.0001272573,0.0003214313,0.00008503996,0.01473129],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005911397,"threshold_uncertainty_score":0.01175398,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03480657717442992,"score_gpt":0.2850386437721078,"score_spread":0.2502320665976779,"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."}}