{"id":"https://openalex.org/W4408205353","doi":"https://doi.org/10.1007/s00332-025-10145-8","title":"Numerical Evidence for Singularity Formation in Defocusing Fractional NLS in One Space Dimension","display_name":"Numerical Evidence for Singularity Formation in Defocusing Fractional NLS in One Space Dimension","publication_year":2025,"publication_date":"2025-03-06","ids":{"openalex":"https://openalex.org/W4408205353","doi":"https://doi.org/10.1007/s00332-025-10145-8"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-025-10145-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-025-10145-8","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","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/A5032788324","display_name":"Christian Klein","orcid":"https://orcid.org/0000-0002-6936-7412"},"institutions":[{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439"]},{"id":"https://openalex.org/I4210112333","display_name":"Institut de Math\u00e9matiques de Bourgogne","ror":"https://ror.org/021f0sa24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210112333","https://openalex.org/I4407990431"]},{"id":"https://openalex.org/I185839726","display_name":"Institut Universitaire de France","ror":"https://ror.org/055khg266","country_code":"FR","type":"education","lineage":["https://openalex.org/I185839726"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Christian Klein","raw_affiliation_strings":["Institut de Math\u00e9matiques de Bourgogne, Universit\u00e9 de Bourgogne-Europe, 9 avenue Alain Savary, BP 47870, 21078, Dijon Cedex, France","Institut universitaire de france, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques de Bourgogne, Universit\u00e9 de Bourgogne-Europe, 9 avenue Alain Savary, BP 47870, 21078, Dijon Cedex, France","institution_ids":["https://openalex.org/I4210112333","https://openalex.org/I177064439"]},{"raw_affiliation_string":"Institut universitaire de france, Paris, France","institution_ids":["https://openalex.org/I185839726"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083665031","display_name":"Christof Sparber","orcid":"https://orcid.org/0009-0003-7667-428X"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christof Sparber","raw_affiliation_strings":["Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, 851\u00a0S. Morgan Street, Chicago, IL, 60607, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, 851\u00a0S. Morgan Street, Chicago, IL, 60607, USA","institution_ids":["https://openalex.org/I39422238"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032788324"],"corresponding_institution_ids":["https://openalex.org/I177064439","https://openalex.org/I185839726","https://openalex.org/I4210112333"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":6.4866,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.94781451,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"35","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9973000288009644,"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9965000152587891,"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/singularity","display_name":"Singularity","score":0.7455149292945862},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6758590340614319},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.6287019848823547},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6097649335861206},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5509240031242371},{"id":"https://openalex.org/keywords/nls","display_name":"NLS","score":0.490970641374588},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.31670454144477844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09748035669326782}],"concepts":[{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.7455149292945862},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6758590340614319},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.6287019848823547},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6097649335861206},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5509240031242371},{"id":"https://openalex.org/C186435350","wikidata":"https://www.wikidata.org/wiki/Q1050365","display_name":"NLS","level":4,"score":0.490970641374588},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31670454144477844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09748035669326782},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C49805395","wikidata":"https://www.wikidata.org/wiki/Q910966","display_name":"Nuclear localization sequence","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C190062978","wikidata":"https://www.wikidata.org/wiki/Q79899","display_name":"Cytoplasm","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00332-025-10145-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-025-10145-8","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-05400821v1","is_oa":false,"landing_page_url":"https://hal.science/hal-05400821","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://link.springer.com/article/10.1007/s00332-025-10145-8","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/13","display_name":"Climate action"}],"awards":[{"id":"https://openalex.org/G6129730045","display_name":null,"funder_award_id":"ANR-17-EURE-0002","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W197591660","https://openalex.org/W1490180844","https://openalex.org/W1974658023","https://openalex.org/W1992270801","https://openalex.org/W1998066520","https://openalex.org/W2017648116","https://openalex.org/W2035380905","https://openalex.org/W2045171161","https://openalex.org/W2048745442","https://openalex.org/W2049788727","https://openalex.org/W2075041225","https://openalex.org/W2086574007","https://openalex.org/W2096951672","https://openalex.org/W2103083566","https://openalex.org/W2138580770","https://openalex.org/W2163257413","https://openalex.org/W2625163751","https://openalex.org/W2963006800","https://openalex.org/W2963326132","https://openalex.org/W2963368087","https://openalex.org/W3106396913","https://openalex.org/W3139261203","https://openalex.org/W3201327797","https://openalex.org/W4282831886","https://openalex.org/W4283695950","https://openalex.org/W4283701483","https://openalex.org/W4298077331","https://openalex.org/W4300102213","https://openalex.org/W4389318362","https://openalex.org/W4390973980","https://openalex.org/W4394814319","https://openalex.org/W4402190660"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2343044156","https://openalex.org/W3143185563","https://openalex.org/W3175810710","https://openalex.org/W2587097797","https://openalex.org/W2050070432","https://openalex.org/W2357072072","https://openalex.org/W2377326938","https://openalex.org/W124500559","https://openalex.org/W1968191899"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}