{"id":"W2075214839","doi":"10.1016/j.physleta.2008.01.058","title":"An effective method for finding special solutions of nonlinear differential equations with variable coefficients","year":2008,"lang":"en","type":"article","venue":"Physics Letters A","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Nonlinear system; Differential equation; Variable (mathematics); Constant coefficients; Mathematical analysis; Physics; Independent equation; Applied mathematics; Bernoulli differential equation; Bernoulli's principle; Linear differential equation; Mathematics; Exact differential equation; Thermodynamics","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":[0.0006408307,0.0006554786,0.000780746,0.001450082,0.0007504559,0.0006395845,0.001104946,0.0008957573,0.002428525],"category_scores_gemma":[0.001552566,0.0004454716,0.0007607337,0.0007504277,0.000948422,0.001196389,0.001221546,0.001020551,0.0004759024],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002951329,"about_ca_system_score_gemma":0.00053539,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004963516,"about_ca_topic_score_gemma":0.001015215,"domain_scores_codex":[0.9997911,0.000067457,0.00001348738,0.00002702876,0.00007831569,0.00002271847],"domain_scores_gemma":[0.9996212,0.0001951115,0.00002869553,0.00004064638,0.00007395908,0.0000403441],"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":[0.0003506713,0.0002892173,0.0009596287,0.0006396952,0.0001669045,0.0005649736,0.0004838334,0.08724525,0.0909776,0.5005533,0.005093586,0.3126754],"study_design_scores_gemma":[0.00009348717,0.0001179263,0.0002240407,0.00003672732,0.00005734328,0.0002377586,0.00005614461,0.8951033,0.008798457,0.08737611,0.007852895,0.00004582455],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01942773,0.0002034006,0.9766068,0.00009459288,0.0001232012,0.0000471145,0.0000217781,0.0001180845,0.003357282],"genre_scores_gemma":[0.1603354,0.0003775021,0.8293366,0.0001204376,0.0001168693,0.0001965625,0.00008133236,0.0001660435,0.009269267],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.002428525,"threshold_uncertainty_score":0.008124232,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02200188274075418,"score_gpt":0.2885918021269902,"score_spread":0.266589919386236,"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."}}