{"id":"W3163110718","doi":"10.1137/20m1347474","title":"Growth of Perturbations to the Peaked Periodic Waves in the Camassa--Holm Equation","year":2021,"lang":"en","type":"article","venue":"SIAM Journal on Mathematical Analysis","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":31,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"Russian Science Foundation","keywords":"Camassa–Holm equation; Mathematics; Mathematical analysis; Integrable system","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006298923,0.0001002267,0.0002687897,0.0001285033,0.0001975573,0.000130621,0.0002283726,0.00002153743,0.001093093],"category_scores_gemma":[0.0001499029,0.00005029339,0.0004000176,0.001045714,0.0000371274,0.0000507647,0.00002934971,0.0002641102,0.00004769103],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001720753,"about_ca_system_score_gemma":0.00006028354,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001480856,"about_ca_topic_score_gemma":0.00001505739,"domain_scores_codex":[0.9986941,0.0002415144,0.0004143408,0.0001164432,0.0003715996,0.0001619846],"domain_scores_gemma":[0.9989581,0.0004280525,0.000125936,0.0002675266,0.0001522126,0.00006816017],"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":[0.00003103136,0.001844674,0.01529901,0.00004591342,0.002197181,0.00003178168,0.02064316,0.008325083,0.0007975589,0.9452916,0.000980444,0.0045125],"study_design_scores_gemma":[0.001305629,0.0003510855,0.07717691,0.0002708329,0.004097186,0.00004497725,0.04530542,0.1426029,0.001590033,0.723001,0.003531001,0.0007229928],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8391265,0.00006153055,0.1235553,0.0256235,0.00005623029,0.0001818833,0.00004419429,0.000005538122,0.01134532],"genre_scores_gemma":[0.9971021,0.000003649958,0.001813999,0.00024054,0.0002219941,0.000007038864,0.00001646776,0.000006193776,0.0005880112],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2222907,"threshold_uncertainty_score":0.9998201,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02135652000991515,"score_gpt":0.2808761523844453,"score_spread":0.2595196323745301,"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."}}