{"id":"W1945599590","doi":"10.3968/j.sms.1923845220120201.014","title":"New Exact Jacobi Elliptic Function Solutions for Nonlinear Equations Using F-expansion Method","year":2010,"lang":"en","type":"article","venue":"Studies in mathematical sciences","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Elliptic function; Jacobi elliptic functions; Integrable system; Mathematics; Korteweg–de Vries equation; Nonlinear system; Jacobi method; Mathematical analysis; Theta function; Elliptic integral; Elliptic rational functions; Quarter period; Function (biology); Work (physics); Applied mathematics; Elliptic curve; Physics","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":[0.0009482375,0.0001107921,0.0002046457,0.00006526642,0.0006132894,0.0000480108,0.0001410579,0.00003093666,0.0001978407],"category_scores_gemma":[0.0002096281,0.00008066343,0.000089905,0.0003119033,0.000247389,0.0001485231,0.00009173971,0.0001363902,0.00002040086],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001561924,"about_ca_system_score_gemma":0.0001063468,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004910939,"about_ca_topic_score_gemma":0.00003291802,"domain_scores_codex":[0.9989452,0.00003206551,0.0002736112,0.0002297434,0.0001706498,0.0003487599],"domain_scores_gemma":[0.9988349,0.0008359732,0.00006974316,0.0001314718,0.00006122495,0.00006666618],"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":[0.0000056322,0.0002095717,0.0003951699,0.00004226451,0.00005577558,1.973113e-7,0.001242078,0.001443975,0.005092551,0.9771247,0.0002845472,0.01410357],"study_design_scores_gemma":[0.0002350783,0.000074686,0.0000757,0.00005502017,0.00005795843,7.505782e-7,0.004082079,0.3630995,0.0002880339,0.6309696,0.0009006449,0.0001609289],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.05425914,0.000055373,0.9418118,0.0003801333,0.0005064382,0.000305229,0.00001699182,0.00001898704,0.002645912],"genre_scores_gemma":[0.2893778,0.000002703454,0.7094097,0.00002659131,0.0007597432,0.00002886154,0.000004713253,0.000008973918,0.0003808742],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3616556,"threshold_uncertainty_score":0.4716989,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.13665428494815,"score_gpt":0.4301840837531148,"score_spread":0.2935297988049648,"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."}}