{"id":"W1541519688","doi":"10.1063/1.4819724","title":"A symmetry-based method for constructing nonlocally related partial differential equation systems","year":2013,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":44,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Partial differential equation; Nonlinear system; Conservation law; Homogeneous space; Symmetry (geometry); First-order partial differential equation; Wave equation; Point (geometry)","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":[],"consensus_categories":[],"category_scores_codex":[0.0003206095,0.0001455241,0.0004306002,0.00003522087,0.00007630673,0.0001224525,0.0001299462,0.00005320865,0.0001734768],"category_scores_gemma":[0.00005862875,0.0001089316,0.0003182653,0.00009101868,0.00004241361,0.0001615442,0.00001911486,0.0002271655,0.00002965244],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002234604,"about_ca_system_score_gemma":0.00008995978,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008715863,"about_ca_topic_score_gemma":1.899368e-8,"domain_scores_codex":[0.9985965,0.00008965295,0.0007245499,0.0001057206,0.0002598926,0.0002236959],"domain_scores_gemma":[0.9981853,0.0006598231,0.0005779168,0.0001321996,0.0003169318,0.0001277932],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00003822783,0.0006876931,0.0002425889,0.000237225,0.0003949568,0.000001261383,0.0002435468,0.002240211,0.00721084,0.965598,0.0003726186,0.02273285],"study_design_scores_gemma":[0.001226447,0.0001370549,0.00001570055,0.0001651188,0.0001701551,0.000006037412,0.0004380951,0.7204,0.003796176,0.2734172,0.00007359413,0.000154439],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07498316,0.000005976036,0.9234237,0.0001296688,0.0002685301,0.000299249,0.00001646265,0.00000886713,0.0008643873],"genre_scores_gemma":[0.8728057,1.099504e-7,0.1259239,0.00001481237,0.001146659,0.00001467362,0.000009917498,0.00002315118,0.00006098925],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7978226,"threshold_uncertainty_score":0.4442102,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02473227492665428,"score_gpt":0.2968704986954978,"score_spread":0.2721382237688435,"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."}}