{"id":"https://openalex.org/W2029258019","doi":"https://doi.org/10.1137/080722977","title":"A Method to Compute Statistics of Large, Noise-Induced Perturbations of Nonlinear Schr\u00f6dinger Solitons","display_name":"A Method to Compute Statistics of Large, Noise-Induced Perturbations of Nonlinear Schr\u00f6dinger Solitons","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2029258019","doi":"https://doi.org/10.1137/080722977","mag":"2029258019"},"language":"en","primary_location":{"id":"doi:10.1137/080722977","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080722977","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060297602","display_name":"Richard O. Moore","orcid":"https://orcid.org/0000-0002-3230-256X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. O. Moore","raw_affiliation_strings":["rmoore@njit.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"rmoore@njit.edu#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021223423","display_name":"Gino Biondini","orcid":"https://orcid.org/0000-0003-3835-1343"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G. Biondini","raw_affiliation_strings":["biondini@buffalo.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"biondini@buffalo.edu#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024500333","display_name":"William L. Kath","orcid":"https://orcid.org/0000-0003-3867-4783"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"W. L. Kath","raw_affiliation_strings":["kath@northwestern.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"kath@northwestern.edu#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.0526,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.9095258,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"50","issue":"3","first_page":"523","last_page":"549"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10232","display_name":"Optical Network Technologies","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10232","display_name":"Optical Network Technologies","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10988","display_name":"Advanced Fiber Laser Technologies","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.7495737075805664},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.6731614470481873},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6173790693283081},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.585746705532074},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.5806664824485779},{"id":"https://openalex.org/keywords/pulse","display_name":"Pulse (music)","score":0.5590356588363647},{"id":"https://openalex.org/keywords/soliton","display_name":"Soliton","score":0.5559826493263245},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5558694005012512},{"id":"https://openalex.org/keywords/importance-sampling","display_name":"Importance sampling","score":0.47452297806739807},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.43000173568725586},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.4218323230743408},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.41964611411094666},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30214065313339233},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.23939639329910278},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23384439945220947},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.17384785413742065},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1695958375930786},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16234993934631348}],"concepts":[{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.7495737075805664},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.6731614470481873},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6173790693283081},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.585746705532074},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5806664824485779},{"id":"https://openalex.org/C2780167933","wikidata":"https://www.wikidata.org/wiki/Q1550652","display_name":"Pulse (music)","level":3,"score":0.5590356588363647},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.5559826493263245},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5558694005012512},{"id":"https://openalex.org/C52740198","wikidata":"https://www.wikidata.org/wiki/Q1539564","display_name":"Importance sampling","level":3,"score":0.47452297806739807},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.43000173568725586},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.4218323230743408},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.41964611411094666},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30214065313339233},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.23939639329910278},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23384439945220947},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.17384785413742065},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1695958375930786},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16234993934631348},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/080722977","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080722977","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.539.4693","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.539.4693","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://m.njit.edu/CAMS/Technical_Reports/CAMS05_06/report0506-35.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W272011277","https://openalex.org/W611710775","https://openalex.org/W1488441684","https://openalex.org/W1593002741","https://openalex.org/W1631607997","https://openalex.org/W1708785370","https://openalex.org/W1977731207","https://openalex.org/W1988804488","https://openalex.org/W1991876849","https://openalex.org/W1995277785","https://openalex.org/W2006722592","https://openalex.org/W2009003281","https://openalex.org/W2018865348","https://openalex.org/W2020459490","https://openalex.org/W2021611402","https://openalex.org/W2026667731","https://openalex.org/W2031794121","https://openalex.org/W2041170998","https://openalex.org/W2042231285","https://openalex.org/W2042730412","https://openalex.org/W2049104181","https://openalex.org/W2051277798","https://openalex.org/W2055770173","https://openalex.org/W2065909972","https://openalex.org/W2068314916","https://openalex.org/W2068456358","https://openalex.org/W2072298637","https://openalex.org/W2080487549","https://openalex.org/W2087583617","https://openalex.org/W2088459763","https://openalex.org/W2096695668","https://openalex.org/W2105506426","https://openalex.org/W2105538507","https://openalex.org/W2108511266","https://openalex.org/W2109519069","https://openalex.org/W2110458639","https://openalex.org/W2112201696","https://openalex.org/W2115600080","https://openalex.org/W2116212313","https://openalex.org/W2116822454","https://openalex.org/W2117185403","https://openalex.org/W2118145790","https://openalex.org/W2118575947","https://openalex.org/W2119053719","https://openalex.org/W2123626181","https://openalex.org/W2131034613","https://openalex.org/W2141436719","https://openalex.org/W2142380402","https://openalex.org/W2146294074","https://openalex.org/W2151598280","https://openalex.org/W2152155165","https://openalex.org/W2156236864","https://openalex.org/W2163924408","https://openalex.org/W2167242562","https://openalex.org/W2331722735","https://openalex.org/W2461228432"],"related_works":["https://openalex.org/W2393870460","https://openalex.org/W4284894156","https://openalex.org/W2161803855","https://openalex.org/W2134539662","https://openalex.org/W3110774753","https://openalex.org/W2061725551","https://openalex.org/W2742914308","https://openalex.org/W2330004501","https://openalex.org/W2017089693","https://openalex.org/W2703295919"],"abstract_inverted_index":{"We":[0,71],"describe":[1],"in":[2,16,35,93],"detail":[3],"the":[4,23,33,49,73,80],"application":[5],"of":[6,12,61,64],"importance":[7],"sampling":[8],"to":[9,31,47,78],"numerical":[10],"simulations":[11,38],"large":[13,50],"noise-induced":[14],"perturbations":[15],"soliton-based":[17,96],"optical":[18],"transmission":[19],"systems":[20],"governed":[21],"by":[22,75],"nonlinear":[24],"Schr\u00f6dinger":[25],"equation.":[26],"The":[27],"method":[28,74],"allows":[29],"one":[30],"concentrate":[32],"samples":[34],"Monte":[36,68],"Carlo":[37,69],"around":[39],"those":[40],"noise":[41],"realizations":[42],"that":[43],"are":[44],"most":[45],"likely":[46],"produce":[48],"pulse":[51,86],"deformations":[52],"connected":[53],"with":[54,85],"errors,":[55],"and":[56,90],"it":[57,77],"yields":[58],"computational":[59],"speedups":[60],"several":[62],"orders":[63],"magnitude":[65],"over":[66],"standard":[67],"simulations.":[70],"demonstrate":[72],"using":[76],"calculate":[79],"probability":[81],"density":[82],"functions":[83],"associated":[84],"amplitude,":[87],"frequency,":[88],"timing,":[89],"phase":[91],"fluctuations":[92],"a":[94],"prototypical":[95],"communication":[97],"system.":[98]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
