{"id":"W2409914804","doi":"10.1016/j.jmaa.2016.11.020","title":"Group classification of linear evolution equations","year":2016,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":34,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Austrian Science Fund; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Superposition principle; Class (philosophy); Linear equation; Reduction (mathematics); Group (periodic table); Independent equation; Mathematical analysis; Applied mathematics; Algebraic equation; Homogeneous; Nonlinear system; Differential equation; Combinatorics; Geometry","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":[0.0005043076,0.0005341099,0.0007710611,0.002713097,0.001116667,0.002462244,0.0007287293,0.001183323,0.008760991],"category_scores_gemma":[0.001881588,0.0002440098,0.0006620857,0.0008709622,0.001479186,0.002139588,0.001284371,0.001629446,0.001068598],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009707336,"about_ca_system_score_gemma":0.0005861176,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009987117,"about_ca_topic_score_gemma":0.0006308486,"domain_scores_codex":[0.9995881,0.00011696,0.00003196569,0.00005617777,0.0001140912,0.00009286631],"domain_scores_gemma":[0.9987245,0.0004201223,0.0002452174,0.0001319833,0.0002943642,0.0001838283],"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":[0.00003788667,0.0000456598,0.0006198239,0.00003210442,0.00001228484,0.00007468818,0.0003118552,0.001335641,0.00131855,0.9801057,0.004035051,0.01207085],"study_design_scores_gemma":[0.00002382187,0.00002589472,0.0005243065,0.0000154238,0.000005759245,0.0000720259,0.0001208764,0.01627021,0.0003031357,0.9785663,0.00405904,0.0000133069],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.688511,0.001693045,0.1851736,0.005708037,0.001155776,0.0001593319,0.0007501887,0.0006305309,0.1162184],"genre_scores_gemma":[0.932366,0.0009632788,0.02137595,0.0008285274,0.0008450645,0.0001726732,0.00108523,0.0001514806,0.04221171],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008760991,"threshold_uncertainty_score":0.02930844,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01719229139204852,"score_gpt":0.2862934865510195,"score_spread":0.269101195158971,"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."}}