{"id":"W2963784027","doi":"10.1080/14029251.2017.1375693","title":"Liouville Integrability of Conservative Peakons for a Modified CH equation","year":2017,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Peakon; Camassa–Holm equation; Integrable system; Mathematics; Norm (philosophy); Sobolev space; Invariant (physics); Hamiltonian (control theory); Mathematical analysis; Applied mathematics; Pure mathematics; Mathematical physics; Mathematical optimization","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":[0.0004880811,0.000638882,0.0004487474,0.001104759,0.0007790244,0.001352856,0.0006534966,0.001148189,0.002386605],"category_scores_gemma":[0.001780759,0.0002021695,0.0005129676,0.0004009622,0.001825308,0.001296116,0.00129293,0.0012789,0.0001619144],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001163984,"about_ca_system_score_gemma":0.0009820121,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003519027,"about_ca_topic_score_gemma":0.002411849,"domain_scores_codex":[0.9998361,0.00003691185,0.000009012659,0.00002331992,0.00005841977,0.0000361512],"domain_scores_gemma":[0.9995722,0.000114413,0.0001079571,0.00002832591,0.0000910046,0.00008609062],"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":[0.00005415627,0.00003706233,0.001044497,0.00004932701,0.00001758438,0.0005777453,0.0003996945,0.01638989,0.01327004,0.9636509,0.0007591466,0.003749898],"study_design_scores_gemma":[0.00004956475,0.00008832032,0.001579603,0.00002284444,0.00001231651,0.0004849818,0.0002273751,0.5446128,0.002487456,0.4484797,0.001907374,0.00004763633],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.787661,0.0007959896,0.160645,0.002022944,0.0002420054,0.00009216973,0.0001458246,0.0001367067,0.04825849],"genre_scores_gemma":[0.9711784,0.000248501,0.008846563,0.000263148,0.0001523976,0.00005628601,0.00007313018,0.00004282782,0.01913886],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003519027,"threshold_uncertainty_score":0.008445382,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07626478864070767,"score_gpt":0.3483193856077098,"score_spread":0.2720545969670021,"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."}}