{"id":"W2060080656","doi":"10.3934/dcds.2014.34.5181","title":"Multi-hump solutions of some singularly-perturbed equations of KdV type","year":2014,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Infinity; Korteweg–de Vries equation; Homoclinic orbit; Type (biology); Zero (linguistics); Mathematical physics; Nonlinear system; Mathematics; Order (exchange); Mathematical analysis; Traveling wave; Physics; Bifurcation; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001264394,0.0001161349,0.0003455043,0.00003739739,0.00008733149,0.00002893516,0.00009894997,0.0000525474,0.00001308987],"category_scores_gemma":[0.00002819871,0.00009581338,0.0001031615,0.00008302266,0.0001074377,0.00007135549,0.00004977111,0.00008575325,0.000002934592],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000006636398,"about_ca_system_score_gemma":0.00002097745,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009732056,"about_ca_topic_score_gemma":0.00001205894,"domain_scores_codex":[0.9990809,0.00008325299,0.0003540608,0.0001643363,0.0001132552,0.0002041957],"domain_scores_gemma":[0.9993349,0.0001145895,0.0001522435,0.0002106799,0.0001059756,0.00008158974],"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":[0.000036765,0.0004507861,0.02053957,0.0001740056,0.0003369168,6.805689e-7,0.0007577519,0.0003808386,0.05126712,0.9197541,0.00007365744,0.006227776],"study_design_scores_gemma":[0.001616418,0.0003106042,0.00704713,0.0002438301,0.0001854838,0.000001670936,0.001737121,0.9821011,0.0002751394,0.0040678,0.00196421,0.0004494579],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8502795,0.0004316191,0.1459635,0.0001157933,0.0003633851,0.0003512526,0.0002936231,0.00002808454,0.002173346],"genre_scores_gemma":[0.9984854,0.000002029753,0.0004439815,0.000007193132,0.0001763247,0.000007097858,0.00009583979,0.00001305063,0.000769097],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9817203,"threshold_uncertainty_score":0.3907156,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01252485298740696,"score_gpt":0.2482154433156266,"score_spread":0.2356905903282197,"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."}}