{"id":"https://openalex.org/W1102237418","doi":"https://doi.org/10.1137/151004884","title":"The Fourth-Order Dispersive Nonlinear Schr\u00f6dinger Equation: Orbital Stability of a Standing Wave","display_name":"The Fourth-Order Dispersive Nonlinear Schr\u00f6dinger Equation: Orbital Stability of a Standing Wave","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W1102237418","doi":"https://doi.org/10.1137/151004884","mag":"1102237418"},"language":"en","primary_location":{"id":"doi:10.1137/151004884","is_oa":false,"landing_page_url":"https://doi.org/10.1137/151004884","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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 Journal on Applied Dynamical Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://repositorio.unicamp.br/jspui/handle/REPOSIP/243498","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110068682","display_name":"F\u00e1bio Natali","orcid":"https://orcid.org/0000-0001-6458-2730"},"institutions":[{"id":"https://openalex.org/I123443094","display_name":"Universidade Estadual de Maring\u00e1","ror":"https://ror.org/04bqqa360","country_code":"BR","type":"education","lineage":["https://openalex.org/I123443094"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"F\u00e1bio Natali","raw_affiliation_strings":["Departamento de Matem\u00e1tica -Universidade Estadual de Maring\u00e1 Avenida Colombo, 5790, CEP 87020-900, Maring\u00e1, PR, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica -Universidade Estadual de Maring\u00e1 Avenida Colombo, 5790, CEP 87020-900, Maring\u00e1, PR, Brazil","institution_ids":["https://openalex.org/I123443094"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074140476","display_name":"Ademir Pastor","orcid":"https://orcid.org/0000-0002-7503-2555"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Ademir Pastor","raw_affiliation_strings":["IMECC-UNICAMP Rua S\u00e9rgio Buarque de Holanda, 651, CEP 13083-859, Campinas, SP, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMECC-UNICAMP Rua S\u00e9rgio Buarque de Holanda, 651, CEP 13083-859, Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.6012,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.91326683,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"14","issue":"3","first_page":"1326","last_page":"1347"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":1.0,"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9794999957084656,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9779999852180481,"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/standing-wave","display_name":"Standing wave","score":0.7009263634681702},{"id":"https://openalex.org/keywords/nonlinear-schr\u00f6dinger-equation","display_name":"Nonlinear Schr\u00f6dinger equation","score":0.5932829976081848},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5536414980888367},{"id":"https://openalex.org/keywords/dispersive-partial-differential-equation","display_name":"Dispersive partial differential equation","score":0.5348559617996216},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5344269871711731},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5329616665840149},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.530088484287262},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5227980017662048},{"id":"https://openalex.org/keywords/schr\u00f6dinger-equation","display_name":"Schr\u00f6dinger equation","score":0.4917192757129669},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.491131991147995},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.467182457447052},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4476303160190582},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4321378171443939},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4233609437942505},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3249247074127197},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.19606459140777588},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1639809012413025},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06528043746948242},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.05856999754905701}],"concepts":[{"id":"https://openalex.org/C199956316","wikidata":"https://www.wikidata.org/wiki/Q123300","display_name":"Standing wave","level":2,"score":0.7009263634681702},{"id":"https://openalex.org/C83774755","wikidata":"https://www.wikidata.org/wiki/Q2579914","display_name":"Nonlinear Schr\u00f6dinger equation","level":3,"score":0.5932829976081848},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5536414980888367},{"id":"https://openalex.org/C108779253","wikidata":"https://www.wikidata.org/wiki/Q5282591","display_name":"Dispersive partial differential equation","level":3,"score":0.5348559617996216},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5344269871711731},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5329616665840149},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.530088484287262},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5227980017662048},{"id":"https://openalex.org/C63036615","wikidata":"https://www.wikidata.org/wiki/Q165498","display_name":"Schr\u00f6dinger equation","level":2,"score":0.4917192757129669},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.491131991147995},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.467182457447052},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4476303160190582},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4321378171443939},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4233609437942505},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3249247074127197},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.19606459140777588},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1639809012413025},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06528043746948242},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.05856999754905701},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/151004884","is_oa":false,"landing_page_url":"https://doi.org/10.1137/151004884","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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 Journal on Applied Dynamical Systems","raw_type":"journal-article"},{"id":"pmh:oai:repositorio.unicamp.br:REPOSIP/243498","is_oa":true,"landing_page_url":"http://repositorio.unicamp.br/jspui/handle/REPOSIP/243498","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"WOS","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:americanae.aecid.es:2824500","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=2824500","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"WOS","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:repositorio.unicamp.br:REPOSIP/243498","is_oa":true,"landing_page_url":"http://repositorio.unicamp.br/jspui/handle/REPOSIP/243498","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"WOS","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8299999833106995,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320322772","display_name":"Funda\u00e7\u00e3o Arauc\u00e1ria","ror":"https://ror.org/02r7nkw81"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1544146638","https://openalex.org/W1575147392","https://openalex.org/W1964717025","https://openalex.org/W1966652217","https://openalex.org/W1967400859","https://openalex.org/W1973347268","https://openalex.org/W1974089852","https://openalex.org/W1975028093","https://openalex.org/W1980327450","https://openalex.org/W1999830310","https://openalex.org/W2006365463","https://openalex.org/W2020733636","https://openalex.org/W2025487284","https://openalex.org/W2025826527","https://openalex.org/W2045758913","https://openalex.org/W2053617709","https://openalex.org/W2062162218","https://openalex.org/W2065198605","https://openalex.org/W2072837922","https://openalex.org/W2074299879","https://openalex.org/W2077663392","https://openalex.org/W2080180195","https://openalex.org/W2082676557","https://openalex.org/W2103667682","https://openalex.org/W2118818801","https://openalex.org/W2133914554","https://openalex.org/W3147034027","https://openalex.org/W4213132260","https://openalex.org/W4254476808"],"related_works":["https://openalex.org/W2245214771","https://openalex.org/W3164691790","https://openalex.org/W2333053900","https://openalex.org/W1975562467","https://openalex.org/W2951961089","https://openalex.org/W3101208931","https://openalex.org/W2977263732","https://openalex.org/W2181923191","https://openalex.org/W3213209941","https://openalex.org/W2074095400"],"abstract_inverted_index":{"Americanae":[0],"nace":[1],"como":[2],"un":[3],"proyecto":[4],"conjunto":[5],"que":[6,22],"surge":[7],"dentro":[8],"de":[9,13,27,31,48,57],"la":[10,25,28],"Red":[11],"Europea":[12],"Informaci\u00f3n":[14],"y":[15,21,54],"Documentaci\u00f3n":[16],"sobre":[17],"Am\u00e9rica":[18],"Latina":[19],"(REDIAL),":[20],"ha":[23],"afrontado":[24],"Biblioteca":[26],"Agencia":[29],"Espa\u00f1ola":[30],"Cooperaci\u00f3n":[32],"Internacional":[33],"para":[34],"el":[35],"Desarrollo":[36],"(AECID).":[37],"Esta":[38],"nueva":[39],"biblioteca":[40],"virtual":[41],"hace":[42],"m\u00e1s":[43],"accesibles":[44],"los":[45,52],"libros":[46],"digitales":[47],"tema":[49],"americanista":[50],"a":[51],"investigadores":[53],"usuarios":[55],"interesados":[56],"cualquier":[58],"parte":[59],"del":[60],"mundo.":[61]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
