{"id":"W2530073120","doi":"10.1080/14029251.2016.1248156","title":"Lax Integrability of the Modified Camassa-Holm Equation and the Concept of Peakons","year":2016,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Chinese Academy of Sciences; University of Saskatchewan","keywords":"Camassa–Holm equation; Mathematics; Lax pair; Applied mathematics; Integrable system; Pure mathematics; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0005451813,0.0001056798,0.0003908672,0.00001279445,0.00004877814,0.00001179425,0.000232435,0.00003010245,0.00005250205],"category_scores_gemma":[0.0001691916,0.00004110645,0.000301145,0.0001018951,0.0005852708,0.00009273149,0.00007849883,0.0001866148,0.000002061873],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001179184,"about_ca_system_score_gemma":0.00008817279,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001120472,"about_ca_topic_score_gemma":3.570108e-7,"domain_scores_codex":[0.998789,0.0001398867,0.0006013316,0.00007322663,0.0002847521,0.0001117903],"domain_scores_gemma":[0.9979068,0.000889898,0.0006118389,0.0002741947,0.0002678177,0.00004941938],"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":[0.0001107736,0.0005932511,0.000749365,0.00005631381,0.0001925176,2.322201e-7,0.001402663,0.00007573934,0.00304019,0.9817144,0.00009749238,0.01196711],"study_design_scores_gemma":[0.003203889,0.0001431314,0.001057693,0.0003834763,0.0002484691,0.000004705691,0.000775734,0.01595623,0.01862659,0.9592366,0.0002208161,0.0001426704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8672615,0.00005045678,0.1265108,0.002398489,0.0001401669,0.0002945587,0.0001713119,0.000003784683,0.003168986],"genre_scores_gemma":[0.9968576,0.000003030351,0.002625762,0.00001637386,0.0003751972,0.000001126813,8.641182e-7,0.000009563782,0.0001105018],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1295961,"threshold_uncertainty_score":0.2156455,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02318410297171763,"score_gpt":0.2688365288797896,"score_spread":0.245652425908072,"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."}}