{"id":"W2076183920","doi":"10.1016/j.jmaa.2004.05.009","title":"Exact solutions of semilinear radial wave equations in n dimensions","year":2004,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":24,"is_retracted":false,"has_abstract":false,"ca_institutions":"Brock University","funders":"Brock University","keywords":"Ansatz; Mathematics; Invariant (physics); Conformal map; Nonlinear system; Mathematical analysis; Symmetry group; Wave equation; Symmetry (geometry); Symmetry in biology; Mathematical physics; Geometry; Physics; Quantum mechanics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001057067,0.001241042,0.0006802311,0.001572004,0.0009062506,0.002296278,0.001294917,0.002116042,0.007350564],"category_scores_gemma":[0.003696097,0.0006440854,0.0007166321,0.001117369,0.002097357,0.003385937,0.00212671,0.001405124,0.00116337],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001053459,"about_ca_system_score_gemma":0.0009855129,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001786875,"about_ca_topic_score_gemma":0.001910169,"domain_scores_codex":[0.9996303,0.00009968313,0.00003342627,0.00003671543,0.0001323362,0.00006733104],"domain_scores_gemma":[0.9991965,0.0002736867,0.0001681863,0.00006734105,0.0001822694,0.0001120854],"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":[0.0001092034,0.00008668705,0.0004065555,0.0001509586,0.00002963628,0.0003492064,0.0004161038,0.02773557,0.005341402,0.9529288,0.002273251,0.01017261],"study_design_scores_gemma":[0.00009652552,0.00006509634,0.0005545879,0.00007202911,0.0000148146,0.0004286939,0.0004661581,0.3365233,0.001412879,0.6573843,0.002922009,0.00005957669],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4988745,0.004248052,0.3374171,0.003337938,0.0008025307,0.0001705348,0.0003935361,0.0004196047,0.1543361],"genre_scores_gemma":[0.8993593,0.001766793,0.03669018,0.0004643988,0.000355005,0.0001431395,0.0002692393,0.0001361338,0.06081589],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007350564,"threshold_uncertainty_score":0.02459008,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01907088798244342,"score_gpt":0.2777285743603035,"score_spread":0.2586576863778601,"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."}}