{"id":"W2082472019","doi":"10.1098/rspa.2013.0379","title":"Colliding peakons and the formation of shocks in the Degasperis–Procesi equation","year":2013,"lang":"en","type":"article","venue":"Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Ansatz; Peakon; Shock wave; Property (philosophy); Shock (circulatory); Collision; Breaking wave; Ordinary differential equation; Nonlinear system; Physics; Applied mathematics; Mathematical analysis; Classical mechanics; Differential equation; Mathematics; Computer science; Mechanics; Mathematical physics; Wave propagation; 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":[],"consensus_categories":[],"category_scores_codex":[0.0003665349,0.00007098276,0.0001361798,0.000007348662,0.0001382955,0.00007553838,0.0001834186,0.00001426582,0.000003188151],"category_scores_gemma":[0.00003826632,0.00003057253,0.00008046806,0.0001821296,0.0003224621,0.0001591157,0.00006710887,0.00009625414,4.120786e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000003656575,"about_ca_system_score_gemma":0.000006053183,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003225494,"about_ca_topic_score_gemma":6.497754e-8,"domain_scores_codex":[0.9994722,0.00000463573,0.0001479453,0.00007824793,0.0001780929,0.0001188597],"domain_scores_gemma":[0.9996281,0.0002160281,0.00006927802,0.00003355806,0.00003457205,0.00001849876],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00000486965,0.0001608369,0.001862949,0.0004590468,0.00002651912,6.228909e-9,0.02910784,0.0016126,0.00331137,0.9624655,0.0001211121,0.0008673465],"study_design_scores_gemma":[0.0001670798,0.00002003863,0.001858817,0.00007374521,0.00001760308,3.303087e-7,0.005825064,0.8859289,0.001199182,0.1048539,0.000004631969,0.00005080282],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9963909,0.00002063369,0.001358057,0.0007294457,0.000007758395,0.0002029773,0.000001277338,0.000004311742,0.001284597],"genre_scores_gemma":[0.9986437,0.000001522764,0.001244765,0.00001378247,0.0000513109,0.00002413125,1.307594e-7,0.000002607494,0.00001802828],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8843163,"threshold_uncertainty_score":0.1246711,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01020251124327412,"score_gpt":0.2150317215496722,"score_spread":0.2048292103063981,"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."}}