{"id":"W2143990727","doi":"10.1088/0951-7715/22/4/004","title":"Effective dynamics of solitons in the presence of rough nonlinear perturbations","year":2009,"lang":"en","type":"article","venue":"Nonlinearity","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Nonlinear system; Soliton; Nonlinear Schrödinger equation; Perturbation (astronomy); Mathematical analysis; Initial value problem; Dynamics (music); Norm (philosophy); Classical mechanics; Schrödinger equation; Physics; Quantum mechanics","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":[0.0006574306,0.0004654647,0.0006305664,0.00071125,0.0008133697,0.001215651,0.0006751064,0.0007271497,0.001400846],"category_scores_gemma":[0.002643639,0.000310421,0.0003866085,0.0002157309,0.002940562,0.002204913,0.001486132,0.000829505,0.000122574],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009194179,"about_ca_system_score_gemma":0.0003567378,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00106744,"about_ca_topic_score_gemma":0.000588115,"domain_scores_codex":[0.9997379,0.00009255749,0.0000108286,0.00002436732,0.00009128717,0.0000430443],"domain_scores_gemma":[0.9991671,0.0002939405,0.0001619848,0.00005867842,0.0001302635,0.0001880469],"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":[0.0002775341,0.0001011384,0.001956703,0.0001295029,0.0001129519,0.001797443,0.0007457363,0.2848299,0.06113089,0.6438224,0.0008068847,0.00428874],"study_design_scores_gemma":[0.0000277677,0.00007445861,0.001494962,0.00001478844,0.00001640963,0.000219963,0.0001145523,0.8968757,0.002965715,0.09748415,0.0006708894,0.0000406681],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9253294,0.0004279903,0.06006581,0.0005966611,0.00007585289,0.00002768265,0.00004763095,0.0001256232,0.01330325],"genre_scores_gemma":[0.9945652,0.0001317243,0.00316149,0.00003678596,0.00003608677,0.00001446078,0.00002756595,0.00002013614,0.002006513],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001400846,"threshold_uncertainty_score":0.006670892,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02993745579324757,"score_gpt":0.343912767582277,"score_spread":0.3139753117890294,"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."}}