{"id":"W2312218989","doi":"10.1017/s2070073300001909","title":"Stability of Symmetric Solitary Wave Solutions of a Forced Korteweg-de Vries Equation and the Polynomial Chaos","year":2012,"lang":"en","type":"article","venue":"Advances in Applied Mathematics and Mechanics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Korteweg–de Vries equation; Physics; Stability (learning theory); CHAOS (operating system); Mathematical physics; Mathematics; Polynomial; Mathematical analysis; Classical mechanics; Nonlinear system; Computer science; 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":[0.0004684812,0.0004950844,0.0007012753,0.001007077,0.0009389342,0.001430526,0.0007881465,0.0008524205,0.001664059],"category_scores_gemma":[0.002835575,0.0002862345,0.0006118474,0.0004687175,0.001855899,0.001219706,0.00139592,0.0007905689,0.0002041588],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007381953,"about_ca_system_score_gemma":0.0008984802,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002148127,"about_ca_topic_score_gemma":0.0008540745,"domain_scores_codex":[0.9997763,0.00006489345,0.00001461919,0.00003659284,0.00006371427,0.00004382009],"domain_scores_gemma":[0.9993374,0.0002068393,0.0001674009,0.00005051457,0.0001412736,0.00009654756],"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":[0.0005768389,0.00009276358,0.00253609,0.0001398112,0.00009636774,0.0007674359,0.0008716743,0.09436081,0.04510466,0.8451338,0.001105604,0.009214224],"study_design_scores_gemma":[0.0001093353,0.0001094008,0.001735114,0.00001666089,0.00002258959,0.0003298718,0.0002076334,0.7177904,0.003635769,0.2752802,0.0006890823,0.0000738802],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9360398,0.0006596374,0.04738913,0.001123267,0.0001505536,0.00005435178,0.00009603102,0.00008369267,0.01440358],"genre_scores_gemma":[0.9940045,0.0001638586,0.002069655,0.0000359252,0.00005589163,0.00002206664,0.00003288756,0.00001789908,0.003597255],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002148127,"threshold_uncertainty_score":0.005566895,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05365703188608056,"score_gpt":0.2885115918161039,"score_spread":0.2348545599300234,"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."}}