{"id":"W3129167982","doi":"10.48550/arxiv.2102.01246","title":"Existence and stability of standing waves for one dimensional NLS with triple power nonlinearities","year":2021,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Stability (learning theory); Nonlinear system; Standing wave; Mathematical analysis; Mathematics; Power (physics); Physics; Classical mechanics; Quantum mechanics; Computer science","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002838048,0.00026845,0.0006748758,0.00006731231,0.0000915389,0.00002886859,0.0002154563,0.000150462,0.0000410882],"category_scores_gemma":[0.0002858183,0.0002667782,0.0001371454,0.0001559682,0.000358531,0.0001882044,0.0005787959,0.0003042583,4.021295e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001144765,"about_ca_system_score_gemma":0.0001588352,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001356481,"about_ca_topic_score_gemma":0.00002896095,"domain_scores_codex":[0.9986226,0.00005658198,0.0003033275,0.0006374022,0.0001345591,0.000245518],"domain_scores_gemma":[0.9974992,0.001039893,0.0003501032,0.0006044532,0.0004072376,0.00009917126],"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":[0.0003511881,0.0007061337,0.0004362969,0.00423213,0.0002971823,0.0000239326,0.0009914727,0.001131738,0.001147236,0.9906428,0.00001178345,0.0000281357],"study_design_scores_gemma":[0.0008255206,0.0001467677,0.00004261956,0.0007197767,0.0002094727,0.000001897701,0.001277852,0.008913447,0.0051618,0.9823622,0.000004540719,0.0003341768],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7458749,0.00004425202,0.252804,0.00001829816,0.00004414681,0.0005802868,0.0001319338,0.00004198225,0.0004602385],"genre_scores_gemma":[0.8825716,0.00002051535,0.1171526,0.000008102567,0.00001421225,0.000003199547,0.00002005943,0.00003130951,0.0001784512],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1366967,"threshold_uncertainty_score":0.9999784,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1756813693439674,"score_gpt":0.2433302846987899,"score_spread":0.06764891535482254,"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."}}