乐胖代购免代理版

{"id":"https://openalex.org/W2297238766","doi":"https://doi.org/10.1137/15m1024974","title":"Nonlinearity Saturation as a Singular Perturbation of the Nonlinear Schr\u00f6dinger Equation","display_name":"Nonlinearity Saturation as a Singular Perturbation of the Nonlinear Schr\u00f6dinger Equation","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2297238766","doi":"https://doi.org/10.1137/15m1024974","mag":"2297238766"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1024974","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5035036034","display_name":"Karl Glasner","orcid":"https://orcid.org/0000-0002-7415-6994"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Karl Glasner","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5048386336","display_name":"Jordan Allen-Flowers","orcid":null},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jordan Allen-Flowers","raw_affiliation_strings":["University of Arizona"],"affiliations":[{"raw_affiliation_string":"University of Arizona","institution_ids":["https://openalex.org/I138006243"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.305,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":6,"citation_normalized_percentile":{"value":0.606068,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":82,"max":83},"biblio":{"volume":"76","issue":"2","first_page":"525","last_page":"550"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11575","display_name":"Nonlinear Photonic Systems","score":0.9999,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11575","display_name":"Nonlinear Photonic Systems","score":0.9999,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9999,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9991,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.5226357}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.59223485},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.57333803},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5365057},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.5226357},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.5192092},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48418143},{"id":"https://openalex.org/C83774755","wikidata":"https://www.wikidata.org/wiki/Q2579914","display_name":"Nonlinear Schr\u00f6dinger equation","level":3,"score":0.4820212},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.46997017},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.44084653},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29644796},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.20157829},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.12667465}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1024974","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research","award_id":"FA9550-10-1-0561"}],"datasets":[],"versions":[],"referenced_works_count":51,"referenced_works":["https://openalex.org/W1647523290","https://openalex.org/W1676769046","https://openalex.org/W1708785370","https://openalex.org/W1964073404","https://openalex.org/W1964292794","https://openalex.org/W1968106586","https://openalex.org/W1975929637","https://openalex.org/W1977337304","https://openalex.org/W1979738097","https://openalex.org/W1986387518","https://openalex.org/W1989713243","https://openalex.org/W1992668212","https://openalex.org/W1999364834","https://openalex.org/W2003450002","https://openalex.org/W2003696829","https://openalex.org/W2004156688","https://openalex.org/W2007498418","https://openalex.org/W2013864244","https://openalex.org/W2014276690","https://openalex.org/W2015539642","https://openalex.org/W2015946804","https://openalex.org/W2017687755","https://openalex.org/W2019265615","https://openalex.org/W2020376837","https://openalex.org/W2022720442","https://openalex.org/W2028119371","https://openalex.org/W2031101168","https://openalex.org/W2033880071","https://openalex.org/W2037108000","https://openalex.org/W2037226174","https://openalex.org/W2037242097","https://openalex.org/W2037887808","https://openalex.org/W2037918254","https://openalex.org/W2049561031","https://openalex.org/W2062710542","https://openalex.org/W2063222962","https://openalex.org/W2067971538","https://openalex.org/W2069375255","https://openalex.org/W2078264261","https://openalex.org/W2079031520","https://openalex.org/W2082677773","https://openalex.org/W2092262669","https://openalex.org/W2100287031","https://openalex.org/W2104740006","https://openalex.org/W2116568013","https://openalex.org/W2137308669","https://openalex.org/W2161941736","https://openalex.org/W2949931417","https://openalex.org/W3005918705","https://openalex.org/W3163900090","https://openalex.org/W4254018735"],"related_works":["https://openalex.org/W4286382504","https://openalex.org/W4206553170","https://openalex.org/W3133407553","https://openalex.org/W2495930062","https://openalex.org/W2393344178","https://openalex.org/W2392492385","https://openalex.org/W2245403906","https://openalex.org/W2057370678","https://openalex.org/W2039808196","https://openalex.org/W2001488143"],"abstract_inverted_index":{"Saturation":[0],"of":[1,75,84,97,100,121,125,138,166],"a":[2,15,53,85,112,122,135],"Kerr-type":[3],"nonlinearity":[4],"in":[5,24,41],"the":[6,20,25,42,59,101,128,149,156,168],"nonlinear":[7],"Schr\u00f6dinger":[8],"equation":[9,170],"(NLSE)":[10],"can":[11],"be":[12],"regarded":[13],"as":[14],"singular":[16],"perturbation":[17],"which":[18,33],"regularizes":[19],"well-known":[21],"blow-up":[22],"phenomenon":[23],"cubic":[26],"NLSE.":[27],"An":[28],"asymptotic":[29],"expansion":[30],"is":[31,69,93,144,152],"proposed":[32],"takes":[34],"into":[35],"account":[36],"multiple":[37],"scale":[38],"behavior":[39,96],"both":[40,167],"longitudinal":[43],"and":[44,68,88,130,148,171],"transverse":[45],"directions.":[46],"In":[47,77],"one":[48],"dimension,":[49],"this":[50],"leads":[51,106],"to":[52,64,107,155],"free":[54,113,172],"boundary":[55,173],"problem":[56],"reduction":[57],"where":[58],"solitary":[60,86,131,150],"wave":[61,87,91,139,151],"acts":[62],"solely":[63],"reflect":[65],"impinging":[66],"waves":[67],"accelerated":[70],"by":[71,95,119,163],"an":[72,89,108],"elastic":[73],"transfer":[74,124],"momentum.":[76],"two":[78],"dimensions,":[79],"we":[80,141],"find":[81,142],"that":[82],"interaction":[83,147],"adjacent":[90],"field":[92],"governed":[94],"certain":[98,136],"eigenfunctions":[99],"linearized":[102],"fast-scale":[103],"operator.":[104],"This":[105],"outer":[109],"solution":[110],"with":[111],"logarithmic":[114],"singularity,":[115],"whose":[116],"position":[117],"evolves":[118],"virtue":[120],"large":[123],"momentum":[126],"between":[127],"ambient":[129,157],"waves.":[132],"However,":[133],"for":[134],"value":[137],"power,":[140],"there":[143],"essentially":[145],"no":[146],"asymptotically":[153],"transparent":[154],"field.":[158],"We":[159],"test":[160],"our":[161],"results":[162],"numerical":[164],"simulation":[165],"full":[169],"reductions.":[174]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2297238766","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2024-12-23T11:22:54.600098","created_date":"2016-06-24"}