{"id":"https://openalex.org/W3134224014","doi":"https://doi.org/10.1080/00207160.2021.1901279","title":"Vector breather waves and higher-order rouge waves to the coupled higher-order nonlinear Schr\u00f6dinger equations","display_name":"Vector breather waves and higher-order rouge waves to the coupled higher-order nonlinear Schr\u00f6dinger equations","publication_year":2021,"publication_date":"2021-03-09","ids":{"openalex":"https://openalex.org/W3134224014","doi":"https://doi.org/10.1080/00207160.2021.1901279","mag":"3134224014"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2021.1901279","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2021.1901279","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5110725310","display_name":"Xin-Mei Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xin-Mei Zhou","raw_affiliation_strings":["School of Mathematics and Institute of Mathematical Physics, China University of Mining and Technology, Xuzhou, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Institute of Mathematical Physics, China University of Mining and Technology, Xuzhou, People's Republic of China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078932934","display_name":"Shou\u2010Fu Tian","orcid":"https://orcid.org/0000-0003-0888-777X"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shou-Fu Tian","raw_affiliation_strings":["School of Mathematics and Institute of Mathematical Physics, China University of Mining and Technology, Xuzhou, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Institute of Mathematical Physics, China University of Mining and Technology, Xuzhou, People's Republic of China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026164417","display_name":"Ling-Di Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ling-Di Zhang","raw_affiliation_strings":["School of Mathematics and Institute of Mathematical Physics, China University of Mining and Technology, Xuzhou, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Institute of Mathematical Physics, China University of Mining and Technology, Xuzhou, People's Republic of China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100393546","display_name":"Tian\u2010Tian Zhang","orcid":"https://orcid.org/0000-0001-5628-4434"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tian-Tian Zhang","raw_affiliation_strings":["School of Mathematics and Institute of Mathematical Physics, China University of Mining and Technology, Xuzhou, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Institute of Mathematical Physics, China University of Mining and Technology, Xuzhou, People's Republic of China","institution_ids":["https://openalex.org/I25757504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026164417","https://openalex.org/A5078932934","https://openalex.org/A5100393546","https://openalex.org/A5110725310"],"corresponding_institution_ids":["https://openalex.org/I25757504"],"apc_list":null,"apc_paid":null,"fwci":0.8126,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.69900029,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"98","issue":"12","first_page":"2504","last_page":"2513"},"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9998999834060669,"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/T10988","display_name":"Advanced Fiber Laser Technologies","score":0.9925000071525574,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/breather","display_name":"Breather","score":0.8741438388824463},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6454516649246216},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.620988667011261},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5728179812431335},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5024721622467041},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49673157930374146},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.48654165863990784},{"id":"https://openalex.org/keywords/rogue-wave","display_name":"Rogue wave","score":0.4768715500831604},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4288023114204407},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2639622092247009},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11758825182914734}],"concepts":[{"id":"https://openalex.org/C74455749","wikidata":"https://www.wikidata.org/wiki/Q5254599","display_name":"Breather","level":3,"score":0.8741438388824463},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6454516649246216},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.620988667011261},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5728179812431335},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5024721622467041},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49673157930374146},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.48654165863990784},{"id":"https://openalex.org/C189201455","wikidata":"https://www.wikidata.org/wiki/Q110360","display_name":"Rogue wave","level":3,"score":0.4768715500831604},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4288023114204407},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2639622092247009},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11758825182914734},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2021.1901279","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2021.1901279","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G936523","display_name":null,"funder_award_id":"2019ZDPY07","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W595846807","https://openalex.org/W1700452290","https://openalex.org/W1967952520","https://openalex.org/W1977137061","https://openalex.org/W2045833558","https://openalex.org/W2049646018","https://openalex.org/W2049751550","https://openalex.org/W2068687201","https://openalex.org/W2068745417","https://openalex.org/W2078326212","https://openalex.org/W2083960709","https://openalex.org/W2093274602","https://openalex.org/W2106826464","https://openalex.org/W2140334330","https://openalex.org/W2158066165","https://openalex.org/W2224336379","https://openalex.org/W2511381597","https://openalex.org/W2528820072","https://openalex.org/W2549715911","https://openalex.org/W2607947128","https://openalex.org/W2613163530","https://openalex.org/W2784711808","https://openalex.org/W2797256054","https://openalex.org/W2803895443","https://openalex.org/W2893879350","https://openalex.org/W2895219486","https://openalex.org/W2952086931","https://openalex.org/W2982139500","https://openalex.org/W2991699636","https://openalex.org/W3014902280","https://openalex.org/W3104685966","https://openalex.org/W4232650420","https://openalex.org/W4292170110"],"related_works":["https://openalex.org/W4389036002","https://openalex.org/W4398239089","https://openalex.org/W4391329000","https://openalex.org/W3094221240","https://openalex.org/W2884485657","https://openalex.org/W4210419048","https://openalex.org/W2045043406","https://openalex.org/W4388044874","https://openalex.org/W3040477263","https://openalex.org/W2980853704"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,11,18,24,29,35,38,44,49,54,63,69,77,81,86,90],"vector":[3,64],"breather":[4,65,82,91],"waves":[5,9],"and":[6,53,68],"higher-order":[7,13,70],"rouge":[8,71],"of":[10,37,80,89,98],"coupled":[12],"nonlinear":[14],"Schr\u00f6dinger":[15],"equations":[16],"via":[17],"Darboux-dressing":[19,25],"transformation.":[20],"Firstly,":[21],"based":[22],"on":[23],"transformation,":[26],"we":[27,75,94],"introduce":[28],"asymptotic":[30],"expansion":[31,57],"theory,":[32],"which":[33,84],"allows":[34],"solution":[36],"equation":[39],"to":[40,61],"be":[41],"iterated":[42],"through":[43],"same":[45],"spectral":[46],"parameters.":[47],"Then,":[48],"matrix":[50],"exponential":[51],"function":[52],"Taylor":[55],"multi-series":[56],"method":[58],"are":[59],"used":[60],"derive":[62],"wave":[66,72],"solutions":[67],"solutions.":[73],"Moreover,":[74],"analyze":[76],"characteristic":[78],"lines":[79],"waves,":[83],"determine":[85],"dynamic":[87],"behaviours":[88],"waves.":[92],"Finally,":[93],"give":[95],"some":[96],"conclusions":[97],"this":[99],"work.":[100]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}
