{"id":"https://openalex.org/W2024938986","doi":"https://doi.org/10.1209/0295-5075/92/50002","title":"Direct analysis of the bright-soliton collisions in the focusing vector nonlinear Schr\u00f6dinger equation","display_name":"Direct analysis of the bright-soliton collisions in the focusing vector nonlinear Schr\u00f6dinger equation","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2024938986","doi":"https://doi.org/10.1209/0295-5075/92/50002","mag":"2024938986"},"language":"en","primary_location":{"id":"doi:10.1209/0295-5075/92/50002","doi":"https://doi.org/10.1209/0295-5075/92/50002","is_oa":true,"landing_page_url":"https://doi.org/10.1209/0295-5075/92/50002","pdf_url":"https://iopscience.iop.org/article/10.1209/0295-5075/92/50002/pdf","source":{"id":"https://openalex.org/S161185981","display_name":"Europhysics Letters (EPL)","issn_l":"0295-5075","issn":["0295-5075","1286-4854"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPL (Europhysics Letters)","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://iopscience.iop.org/article/10.1209/0295-5075/92/50002/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041644019","display_name":"Tao Xu","orcid":"https://orcid.org/0000-0002-2740-4780","observed_orcids":["https://orcid.org/0000-0002-2740-4780","https://orcid.org/0000-0003-4283-1366"]},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Xu","raw_affiliation_strings":["School of Science, P. O. Box 122, Beijing University of Posts and Telecommunications - Beijing 100876, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, P. O. Box 122, Beijing University of Posts and Telecommunications - Beijing 100876, China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111752453","display_name":"Bo Tian","orcid":"https://orcid.org/0000-0003-2688-6324","observed_orcids":["https://orcid.org/0000-0003-2688-6324","https://orcid.org/0000-0001-9513-0665"]},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]},{"id":"https://openalex.org/I4391767781","display_name":"State Key Laboratory of Software Development Environment","ror":"https://ror.org/017r4dj03","country_code":null,"type":"facility","lineage":["https://openalex.org/I4391767781","https://openalex.org/I82880672"]},{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Tian","raw_affiliation_strings":["Key Laboratory of Information Photonics and Optical Communications (BUPT), Ministry of Education, P. O. Box 128, Beijing University of Posts and Telecommunications - Beijing 100876, China","School of Science, P. O. Box 122, Beijing University of Posts and Telecommunications - Beijing 100876, China","State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics Beijing 100191, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Information Photonics and Optical Communications (BUPT), Ministry of Education, P. O. Box 128, Beijing University of Posts and Telecommunications - Beijing 100876, China","institution_ids":["https://openalex.org/I139759216"]},{"raw_affiliation_string":"School of Science, P. O. Box 122, Beijing University of Posts and Telecommunications - Beijing 100876, China","institution_ids":["https://openalex.org/I139759216"]},{"raw_affiliation_string":"State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics Beijing 100191, China","institution_ids":["https://openalex.org/I4391767781","https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100840581","display_name":"Yu-Shan Xue","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu-Shan Xue","raw_affiliation_strings":["School of Science, P. O. Box 122, Beijing University of Posts and Telecommunications - Beijing 100876, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, P. O. Box 122, Beijing University of Posts and Telecommunications - Beijing 100876, China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086933261","display_name":"Feng-Hua Qi","orcid":"https://orcid.org/0000-0003-4443-7581","observed_orcids":["https://orcid.org/0000-0003-4443-7581"]},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng-Hua Qi","raw_affiliation_strings":["School of Science, P. O. Box 122, Beijing University of Posts and Telecommunications - Beijing 100876, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, P. O. Box 122, Beijing University of Posts and Telecommunications - Beijing 100876, China","institution_ids":["https://openalex.org/I139759216"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1895,"currency":"USD","value_usd":1895},"apc_paid":null,"fwci":1.1552,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.77717432,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"92","issue":"5","first_page":"50002","last_page":"50002"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":1.0,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":1.0,"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":9.999999747378752e-05,"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":0.0,"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/vector-solitons","display_name":"vector solitons","score":0.8560000061988831},{"id":"https://openalex.org/keywords/amplitude-preservation","display_name":"amplitude preservation","score":0.9020000100135803},{"id":"https://openalex.org/keywords/optical-fibers","display_name":"optical fibers","score":0.7620000243186951},{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"symbolic computation","score":0.5529999732971191}],"concepts":[{"id":"https://openalex.org/C83774755","wikidata":"https://www.wikidata.org/wiki/Q2579914","display_name":"Nonlinear Schr\u00f6dinger equation","level":3,"score":0.6966772079467773},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.576869785785675},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5552639961242676},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5517428517341614},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4719756543636322},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.3397948741912842},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.26499632000923157}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1209/0295-5075/92/50002","doi":"https://doi.org/10.1209/0295-5075/92/50002","is_oa":true,"landing_page_url":"https://doi.org/10.1209/0295-5075/92/50002","pdf_url":"https://iopscience.iop.org/article/10.1209/0295-5075/92/50002/pdf","source":{"id":"https://openalex.org/S161185981","display_name":"Europhysics Letters (EPL)","issn_l":"0295-5075","issn":["0295-5075","1286-4854"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPL (Europhysics Letters)","raw_type":"journal-article"},{"id":"pmh:oai:edpsciences.org:dkey/10.1209/0295-5075/92/50002","doi":null,"is_oa":false,"landing_page_url":"http://epljournal.edpsciences.org/10.1209/0295-5075/92/50002/pdf","pdf_url":"http://epljournal.edpsciences.org/10.1209/0295-5075/92/50002/pdf","source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1209/0295-5075/92/50002","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1209/0295-5075/92/50002","doi":"https://doi.org/10.1209/0295-5075/92/50002","is_oa":true,"landing_page_url":"https://doi.org/10.1209/0295-5075/92/50002","pdf_url":"https://iopscience.iop.org/article/10.1209/0295-5075/92/50002/pdf","source":{"id":"https://openalex.org/S161185981","display_name":"Europhysics Letters (EPL)","issn_l":"0295-5075","issn":["0295-5075","1286-4854"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPL (Europhysics Letters)","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1880423635","display_name":null,"funder_award_id":"2005CB321901","funder_id":"https://openalex.org/F4320321125","funder_display_name":"Beihang University"},{"id":"https://openalex.org/G2005333168","display_name":"\u8272\u6563\u7ba1\u7406\u7cfb\u7edf\u4e2d\u5b9a\u65f6\u6296\u52a8\u7684\u89e3\u6790\u7814\u7a76","funder_award_id":"60772023","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2578732727","display_name":null,"funder_award_id":"BUAA-SKLSDE-09KF-04","funder_id":"https://openalex.org/F4320326978","funder_display_name":"State Key Laboratory of Software Development Environment"},{"id":"https://openalex.org/G3495775817","display_name":null,"funder_award_id":"SKLSDE-2010ZX-07","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3810076868","display_name":null,"funder_award_id":"2005CB321901","funder_id":"https://openalex.org/F4320326978","funder_display_name":"State Key Laboratory of Software Development Environment"},{"id":"https://openalex.org/G4074782924","display_name":null,"funder_award_id":"BUAA-SKLSDE-09KF-04","funder_id":"https://openalex.org/F4320321125","funder_display_name":"Beihang University"},{"id":"https://openalex.org/G6455940506","display_name":null,"funder_award_id":"200800130006","funder_id":"https://openalex.org/F4320336024","funder_display_name":"Specialized Research Fund for the Doctoral Program of Higher Education of China"},{"id":"https://openalex.org/G7360473628","display_name":null,"funder_award_id":"2005CB321901","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7950438356","display_name":null,"funder_award_id":"BUAA-SKLSDE-09KF-04","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8686313480","display_name":null,"funder_award_id":"2005CB321901","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321125","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56"},{"id":"https://openalex.org/F4320326978","display_name":"State Key Laboratory of Software Development Environment","ror":"https://ror.org/017r4dj03"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320336024","display_name":"Specialized Research Fund for the Doctoral Program of Higher Education of China","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2024938986.pdf","grobid_xml":"https://content.openalex.org/works/W2024938986.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1501956976","https://openalex.org/W1964742746","https://openalex.org/W1966473623","https://openalex.org/W1968216110","https://openalex.org/W1980346322","https://openalex.org/W1981989990","https://openalex.org/W1983266776","https://openalex.org/W1997853389","https://openalex.org/W2012008958","https://openalex.org/W2014398543","https://openalex.org/W2015881277","https://openalex.org/W2016757860","https://openalex.org/W2017875164","https://openalex.org/W2018455557","https://openalex.org/W2022637308","https://openalex.org/W2029675429","https://openalex.org/W2031211082","https://openalex.org/W2033038764","https://openalex.org/W2034319135","https://openalex.org/W2035361340","https://openalex.org/W2038428654","https://openalex.org/W2040558226","https://openalex.org/W2052167450","https://openalex.org/W2056232260","https://openalex.org/W2061531425","https://openalex.org/W2065385179","https://openalex.org/W2066917164","https://openalex.org/W2068480473","https://openalex.org/W2078944915","https://openalex.org/W2080389893","https://openalex.org/W2094566231","https://openalex.org/W2105722517","https://openalex.org/W2109263391","https://openalex.org/W2121756364","https://openalex.org/W2135502729","https://openalex.org/W2140623025","https://openalex.org/W3027201451","https://openalex.org/W4233806245","https://openalex.org/W4246906787"],"related_works":["https://openalex.org/W1974817520","https://openalex.org/W2154204858","https://openalex.org/W2153532271","https://openalex.org/W3209622820","https://openalex.org/W2953057646","https://openalex.org/W2062124054","https://openalex.org/W3033777635","https://openalex.org/W2021832449","https://openalex.org/W3208349892","https://openalex.org/W1985069144"],"abstract_inverted_index":{"The":[0,55],"multi-component":[1],"Wronskian":[2],"representation":[3],"of":[4,31,76,103],"the":[5,11,28,47,60,67,73,78,82,86,97],"bright":[6],"N":[7,32],"-soliton":[8],"solution":[9],"to":[10,26,45,94],"focusing":[12],"vector":[13,33],"nonlinear":[14],"Schr\u00f6dinger":[15],"equation":[16],"for":[17,72,100],"certain":[18],"optical":[19],"fibers":[20],"allows":[21],"a":[22],"direct":[23],"algebraic":[24],"method":[25,42],"study":[27],"collision":[29],"behavior":[30],"solitons":[34],"with":[35],"m":[36],"components.":[37],"In":[38,84],"this":[39,41],"letter,":[40],"is":[43],"used":[44],"analyze":[46],"two-":[48],"and":[49,66],"three-soliton":[50],"collisions":[51,62],"via":[52],"symbolic":[53],"computation.":[54],"phase-shift":[56],"formulae":[57],"induced":[58],"by":[59],"vector-soliton":[61],"are":[63,70,91],"given":[64],"explicitly,":[65],"parametric":[68],"conditions":[69],"revealed":[71],"amplitude":[74],"preservation":[75],"all":[77],"soliton":[79],"components":[80],"in":[81],"collision.":[83],"addition,":[85],"generalized":[87],"linear":[88],"fractional":[89],"transformations":[90],"also":[92],"derived":[93],"directly":[95],"describe":[96],"state":[98],"change":[99],"each":[101],"component":[102],"colliding":[104],"solitons.":[105]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}