{"id":"W2120250006","doi":"10.1016/j.jmaa.2013.09.040","title":"An algorithmic method for showing existence of nontrivial non-classical symmetries of partial differential equations without solving determining equations","year":2013,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":35,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Homogeneous space; Partial differential equation; Separable partial differential equation; Invariant (physics); First-order partial differential equation; Differential equation; Nonlinear system; Numerical partial differential equations; Symmetry (geometry); Mathematical analysis; Applied mathematics; Mathematical physics; Differential algebraic equation; Ordinary differential equation; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002554242,0.001513253,0.001011858,0.001906014,0.002218244,0.002425725,0.002936134,0.001743539,0.004761667],"category_scores_gemma":[0.008557785,0.001060914,0.002219243,0.001018531,0.003794232,0.004512439,0.005531606,0.004178,0.000805917],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007350035,"about_ca_system_score_gemma":0.001552281,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005657444,"about_ca_topic_score_gemma":0.001081383,"domain_scores_codex":[0.9987397,0.000461414,0.0001090994,0.0002303365,0.0003623874,0.00009709497],"domain_scores_gemma":[0.9951016,0.003176251,0.0002468586,0.0008417933,0.0004454783,0.000188061],"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":[0.00008910334,0.0001257071,0.0009446605,0.0002165157,0.00005742223,0.0002090185,0.0002774964,0.00902107,0.006606646,0.9530067,0.001639114,0.02780643],"study_design_scores_gemma":[0.00007792801,0.00006967398,0.0003217004,0.00003110063,0.00005220495,0.0002271097,0.00008934175,0.133281,0.003544877,0.8576425,0.004619057,0.00004357002],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02153401,0.0001114988,0.9660797,0.0005848651,0.00009883143,0.0001411703,0.00006912151,0.0002724008,0.01110843],"genre_scores_gemma":[0.2060618,0.000225782,0.7857137,0.0003460835,0.0001252123,0.0003721848,0.0002887209,0.0001911274,0.006675333],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.004761667,"threshold_uncertainty_score":0.01592934,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02446945349060655,"score_gpt":0.3320290628640989,"score_spread":0.3075596093734924,"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."}}