{"id":"W2076329950","doi":"10.1016/j.difgeo.2012.06.002","title":"Integrability and conservation laws for two systems of hydrodynamic type derived from the Toda and Volterra systems","year":2012,"lang":"en","type":"article","venue":"Differential Geometry and its Applications","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Conservation law; Integrable system; Mathematics; Eigenvalues and eigenvectors; Decoupling (probability); Type (biology); Partial differential equation; Lax pair; Mathematical analysis; Pure mathematics; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000781731,0.0006310648,0.0008954159,0.001747721,0.001088633,0.002094266,0.0008112844,0.001031011,0.002322387],"category_scores_gemma":[0.00231078,0.0003455606,0.001048428,0.0006161759,0.002213237,0.002022669,0.001563599,0.001765966,0.0002084832],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001636358,"about_ca_system_score_gemma":0.0008967184,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002940991,"about_ca_topic_score_gemma":0.001514424,"domain_scores_codex":[0.9997304,0.00007171961,0.00001674834,0.00002909691,0.0001140185,0.00003787946],"domain_scores_gemma":[0.9993498,0.0002464603,0.000117283,0.00003635324,0.0001429884,0.0001072653],"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":[0.000008713012,0.0000231537,0.0002843873,0.00001649747,0.00001229087,0.00007205827,0.0001135156,0.004959618,0.0008243338,0.991727,0.0003950342,0.001563349],"study_design_scores_gemma":[0.00002690991,0.00001686075,0.0006129417,0.00001261617,0.0000115559,0.0001157901,0.00006709227,0.1860067,0.0003145462,0.811394,0.001400085,0.0000208181],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4607383,0.002818588,0.4545631,0.003750748,0.0007362614,0.0001122025,0.0002956396,0.0001813221,0.07680388],"genre_scores_gemma":[0.9597684,0.0009281024,0.02453288,0.0003649963,0.0003909496,0.00009664769,0.0002306641,0.00008020877,0.01360717],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002940991,"threshold_uncertainty_score":0.01187265,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01857122304429676,"score_gpt":0.2717487494190342,"score_spread":0.2531775263747374,"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."}}