{"id":"W2078731609","doi":"10.1063/1.3496380","title":"Multidimensional partial differential equation systems: Generating new systems via conservation laws, potentials, gauges, subsystems","year":2010,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":25,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan; University of British Columbia","funders":"","keywords":"Conservation law; Partial differential equation; Mathematics; Nonlinear system; Homogeneous space; Degrees of freedom (physics and chemistry); Applied mathematics; Multidimensional systems; Differential equation; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004494231,0.0002272129,0.0005479594,0.00004217597,0.0001618656,0.0001980207,0.0001639883,0.00009532286,0.0001284489],"category_scores_gemma":[0.00003969599,0.0001776114,0.000218009,0.00009581349,0.00004977399,0.0002894043,0.0000417628,0.0004685515,0.00005350742],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002553957,"about_ca_system_score_gemma":0.0001764225,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001793806,"about_ca_topic_score_gemma":0.000001148601,"domain_scores_codex":[0.9977471,0.0001352213,0.001066918,0.0001640243,0.0006095057,0.0002772955],"domain_scores_gemma":[0.9980334,0.0002339885,0.0008982371,0.0002312722,0.0003559302,0.0002471966],"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":[0.00007375943,0.0009626698,0.0007966696,0.0002840424,0.0004669123,0.00001099869,0.0004207681,0.007720935,0.2842837,0.6991946,0.002943896,0.00284104],"study_design_scores_gemma":[0.001637067,0.0001395852,0.0001904784,0.000369987,0.0002844482,0.00006164457,0.0003604222,0.9697531,0.005152869,0.02035658,0.001284215,0.0004096289],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4182235,0.00003495404,0.579718,0.00008728135,0.001554409,0.0001992504,0.00001974979,0.0000121831,0.0001506472],"genre_scores_gemma":[0.9843731,0.000001015699,0.006292155,0.0000133623,0.0089923,0.000005331084,0.00003646431,0.00003294557,0.0002533184],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9620321,"threshold_uncertainty_score":0.7242783,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02652034582024273,"score_gpt":0.2628055483631431,"score_spread":0.2362852025429004,"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."}}