{"id":"W21025452","doi":"10.1023/a:1010402200567","title":"Hypergeometric Solutions of Soliton Equations","year":2001,"lang":"en","type":"article","venue":"Theoretical and Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":103,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Toda lattice; Generalized hypergeometric function; Appell series; Mathematics; Pure mathematics; Barnes integral; Hypergeometric function of a matrix argument; Hypergeometric function; Basic hypergeometric series; Confluent hypergeometric function; Hierarchy; Bilateral hypergeometric series; Differential equation; Hypergeometric identity; Hypergeometric distribution; Lattice (music); Mathematical physics; Mathematical analysis; Physics","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":[0.0008632771,0.0008533814,0.0007491533,0.002097255,0.001121929,0.002999709,0.000808372,0.001460901,0.007538424],"category_scores_gemma":[0.004277587,0.000473869,0.0004353489,0.0017748,0.00202075,0.003342428,0.001803776,0.001702632,0.001121797],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009889529,"about_ca_system_score_gemma":0.0008289408,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007647859,"about_ca_topic_score_gemma":0.0005921323,"domain_scores_codex":[0.9996866,0.0001056758,0.00001544028,0.00003099937,0.00009041738,0.00007085229],"domain_scores_gemma":[0.9991786,0.0003046527,0.0001396094,0.00005248045,0.0001511996,0.0001735101],"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":[0.00002098232,0.00001324424,0.00008728421,0.0000214338,0.000005847924,0.00007878105,0.0001825738,0.001825213,0.001283294,0.9926546,0.0009781144,0.002848559],"study_design_scores_gemma":[0.00001686693,0.000006023789,0.00009049667,0.00000860818,0.00000265199,0.00007388771,0.00007359559,0.01133589,0.0002432276,0.9871292,0.001010879,0.000008688545],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5910377,0.003711321,0.2276665,0.005738819,0.0009773432,0.0001371733,0.0002672872,0.0004691359,0.1699948],"genre_scores_gemma":[0.9121513,0.002354008,0.01329605,0.0005925818,0.0009777478,0.0001336039,0.000204909,0.0001187058,0.07017092],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007538424,"threshold_uncertainty_score":0.02521861,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01843515695176443,"score_gpt":0.2631990105229621,"score_spread":0.2447638535711976,"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."}}