{"id":"W2153300455","doi":"10.1139/p10-003","title":"Painlevé analysis and new analytical solutions for compound KdV–Burgers equation with variable coefficients","year":2010,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Korteweg–de Vries equation; Burgers' equation; Physics; Variable (mathematics); Dispersionless equation; Integrable system; Transformation (genetics); Dissipative system; Mathematical physics; Stability (learning theory); Mathematical analysis; Applied mathematics; Kadomtsev–Petviashvili equation; Partial differential equation; Mathematics; Thermodynamics; Nonlinear system; Quantum mechanics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001949215,0.00009131721,0.0002082407,0.0001174151,0.000237085,0.0001017447,0.00008789954,0.00002797727,0.0000877421],"category_scores_gemma":[0.00001358765,0.0000788757,0.0001179653,0.000371769,0.00008233001,0.0001141367,0.000005680819,0.000186713,0.000001163156],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002421433,"about_ca_system_score_gemma":0.0009466557,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005052621,"about_ca_topic_score_gemma":0.00357692,"domain_scores_codex":[0.9993283,0.00001462622,0.0001834796,0.00009695396,0.00009416995,0.0002825268],"domain_scores_gemma":[0.9988966,0.00008719575,0.0001339549,0.0001146722,0.0001974145,0.0005701547],"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":[0.00005411634,0.0002304434,0.1932092,0.00002259969,0.00345924,0.00001154739,0.001110791,0.03558273,0.0009592288,0.7257402,0.007049036,0.03257084],"study_design_scores_gemma":[0.0052594,0.0007306572,0.03245376,0.0001207906,0.00747144,0.00002524884,0.001773047,0.7250676,0.0006445271,0.1238938,0.1012088,0.001350989],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2007782,0.00001216044,0.7977987,0.0002801615,0.0001634298,0.000089141,0.0001495168,0.000002109913,0.000726589],"genre_scores_gemma":[0.9921555,2.267396e-7,0.006807806,0.00004246379,0.0007212976,8.313084e-7,0.00004700205,0.00001030991,0.0002145518],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7913773,"threshold_uncertainty_score":0.7638085,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02752562784949436,"score_gpt":0.2529144427808582,"score_spread":0.2253888149313638,"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."}}