{"id":"W2168554303","doi":"10.1007/978-3-319-08296-7_1","title":"Some Recent Developments in Finding Systematically Conservation Laws and Nonlocal Symmetries for Partial Differential Equations","year":2014,"lang":"en","type":"book-chapter","venue":"Lecture notes in applied and computational mechanics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Conservation law; Homogeneous space; Partial differential equation; Mathematics; Differential (mechanical device); Applied mathematics; Law; Physics; Mathematical analysis; Political science; 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":[0.000142647,0.0002408401,0.0003907755,0.0001399739,0.0001177782,0.00007333127,0.00006106106,0.0001682907,0.00001660476],"category_scores_gemma":[0.0000296341,0.0002341901,0.00003949117,0.00004308712,0.00002789029,0.00002238577,0.00005778981,0.0002249361,0.000002322843],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004168589,"about_ca_system_score_gemma":0.00009606585,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006880172,"about_ca_topic_score_gemma":0.00001954513,"domain_scores_codex":[0.9988698,0.00001689261,0.0004459703,0.0003102232,0.000176177,0.000180943],"domain_scores_gemma":[0.9988493,0.0007947323,0.0001641613,0.000070599,0.00006783155,0.00005341975],"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":[0.00002774355,0.00002509061,0.00001593881,0.0001263209,0.00004402128,2.908608e-7,0.00009573557,0.002135743,0.00001605918,0.9764333,0.000004651442,0.02107506],"study_design_scores_gemma":[0.0008072481,0.00002713714,0.00001722576,0.0001929152,0.0000333669,5.399413e-7,0.00001021432,0.3413866,0.00004797967,0.6562991,0.0009480563,0.0002296094],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0004104672,0.00007802028,0.9975782,0.0002122787,0.0001922233,0.0006765504,0.0001129149,0.00001093333,0.0007284139],"genre_scores_gemma":[0.978894,0.00001840796,0.0186581,0.0003054081,0.0005325517,0.0001086427,0.001187528,0.00004418529,0.0002512014],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9789201,"threshold_uncertainty_score":0.9549995,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02151751896445741,"score_gpt":0.2521690345976376,"score_spread":0.2306515156331801,"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."}}