{"id":"W2100330808","doi":"10.1016/j.laa.2006.03.008","title":"A solution of an operator equation related to the KdV equation","year":2006,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Korteweg–de Vries equation; Mathematics; Operator (biology); Bounded function; Nonlinear system; Bounded operator; Hypoelliptic operator; Eigenvalues and eigenvectors; Mathematical analysis; Invertible matrix; Banach space; Pure mathematics; Mathematical physics; Semi-elliptic operator; Differential operator; Quantum mechanics; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003782643,0.0006022987,0.0006574293,0.000890985,0.001224921,0.001826224,0.0007389589,0.002410174,0.007389022],"category_scores_gemma":[0.001286579,0.0002769,0.0006476723,0.0007749921,0.001554013,0.002151863,0.00154719,0.001786987,0.001017765],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005814224,"about_ca_system_score_gemma":0.001171334,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008580188,"about_ca_topic_score_gemma":0.0004550834,"domain_scores_codex":[0.9997119,0.00004971316,0.00001662011,0.00005869552,0.0001111423,0.00005190231],"domain_scores_gemma":[0.9996549,0.00007595607,0.0000515332,0.0000232996,0.0001139341,0.00008045959],"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":[0.00003988995,0.00005154602,0.000251487,0.00009168247,0.00002573427,0.0004898775,0.0003473659,0.004208749,0.01278778,0.9709475,0.003050498,0.007708016],"study_design_scores_gemma":[0.00005400832,0.00006700465,0.0004877698,0.00003917011,0.0000158832,0.001099924,0.0003841861,0.07719002,0.003126841,0.9056587,0.01180862,0.00006776772],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3011921,0.001174483,0.5706288,0.007496654,0.002066142,0.0002518077,0.000704139,0.0004725152,0.1160134],"genre_scores_gemma":[0.8185937,0.000924717,0.07997693,0.001362754,0.0008201905,0.0002019245,0.0005361701,0.0001838614,0.09739975],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007389022,"threshold_uncertainty_score":0.0247187,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01298834178209073,"score_gpt":0.2647965701699577,"score_spread":0.251808228387867,"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."}}