{"id":"W2101111830","doi":"10.2991/jnmp.2003.10.4.4","title":"On Vortex Solutions and Links between the Weierstrass System and the Complex Sine-Gordon Equations","year":2003,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; sine-Gordon equation; Sine; Transformation (genetics); Singularity; Vortex; Connection (principal bundle); Mathematical analysis; Algebra over a field; Pure mathematics; Soliton; Nonlinear system; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0007250127,0.0001528942,0.0003669448,0.00002236729,0.0003885153,0.0001074164,0.0001445851,0.00005029129,0.00002430501],"category_scores_gemma":[0.00008695106,0.00007803208,0.0001695039,0.0001155869,0.0003189957,0.00008020939,0.00004026212,0.0005722977,0.00001279293],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001692607,"about_ca_system_score_gemma":0.00006034343,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003806942,"about_ca_topic_score_gemma":2.28868e-7,"domain_scores_codex":[0.9987788,0.0001840042,0.0004708488,0.0001013447,0.000259262,0.0002057281],"domain_scores_gemma":[0.9976557,0.00161005,0.0002926539,0.0002126397,0.0001183707,0.0001105084],"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":[0.00001032555,0.0001280415,0.0001452166,0.00002947748,0.0001479956,8.215353e-7,0.000269525,0.00007535332,0.00002470097,0.9978119,0.000122158,0.001234507],"study_design_scores_gemma":[0.002699351,0.0001980793,0.001136285,0.0002451364,0.0006532712,0.000033888,0.002825702,0.08515781,0.0000955217,0.9044567,0.002210315,0.0002879255],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.380592,0.0001951074,0.5897436,0.006990983,0.0002678694,0.0008436178,0.0002303608,0.00002953536,0.02110686],"genre_scores_gemma":[0.9939835,0.000004116673,0.004967882,0.00007282,0.0008843132,0.000002735355,0.000005277367,0.00001700707,0.00006233512],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6133915,"threshold_uncertainty_score":0.3182056,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03748774892124516,"score_gpt":0.2797401872274436,"score_spread":0.2422524383061984,"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."}}