{"id":"https://openalex.org/W3156604906","doi":"https://doi.org/10.1155/2021/6669087","title":"Fractional Rogue Waves with Translational Coordination, Steep Crest, and Modified Asymmetry","display_name":"Fractional Rogue Waves with Translational Coordination, Steep Crest, and Modified Asymmetry","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3156604906","doi":"https://doi.org/10.1155/2021/6669087","mag":"3156604906"},"language":"en","primary_location":{"id":"doi:10.1155/2021/6669087","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/6669087","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/6669087.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2021/6669087.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025569041","display_name":"Bo Xu","orcid":"https://orcid.org/0000-0002-7956-4882"},"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"]},{"id":"https://openalex.org/I97009856","display_name":"Bohai University","ror":"https://ror.org/01kdzej58","country_code":"CN","type":"education","lineage":["https://openalex.org/I97009856"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bo Xu","raw_affiliation_strings":["School of Educational Sciences, Bohai University, Jinzhou 121013, China bhu.edu.cn","School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China cumt.edu.cn","School of Educational Sciences, Bohai University, Jinzhou 121013, China","School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China"],"raw_orcid":"https://orcid.org/0000-0002-7956-4882","affiliations":[{"raw_affiliation_string":"School of Educational Sciences, Bohai University, Jinzhou 121013, China bhu.edu.cn","institution_ids":["https://openalex.org/I97009856"]},{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China cumt.edu.cn","institution_ids":["https://openalex.org/I25757504"]},{"raw_affiliation_string":"School of Educational Sciences, Bohai University, Jinzhou 121013, China","institution_ids":["https://openalex.org/I97009856"]},{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100459701","display_name":"Yufeng Zhang","orcid":"https://orcid.org/0000-0003-4461-5237"},"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":"Yufeng Zhang","raw_affiliation_strings":["School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China cumt.edu.cn","School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China"],"raw_orcid":"https://orcid.org/0000-0003-4461-5237","affiliations":[{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China cumt.edu.cn","institution_ids":["https://openalex.org/I25757504"]},{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100394017","display_name":"Sheng Zhang","orcid":"https://orcid.org/0000-0002-4631-7033"},"institutions":[{"id":"https://openalex.org/I97009856","display_name":"Bohai University","ror":"https://ror.org/01kdzej58","country_code":"CN","type":"education","lineage":["https://openalex.org/I97009856"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Sheng Zhang","raw_affiliation_strings":["School of Mathematical Sciences, Bohai University, Jinzhou 121013, China bhu.edu.cn","School of Mathematical Sciences, Bohai University, Jinzhou 121013, China"],"raw_orcid":"https://orcid.org/0000-0002-4631-7033","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Bohai University, Jinzhou 121013, China bhu.edu.cn","institution_ids":["https://openalex.org/I97009856"]},{"raw_affiliation_string":"School of Mathematical Sciences, Bohai University, Jinzhou 121013, China","institution_ids":["https://openalex.org/I97009856"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025569041","https://openalex.org/A5100394017","https://openalex.org/A5100459701"],"corresponding_institution_ids":["https://openalex.org/I25757504","https://openalex.org/I97009856"],"apc_list":{"value":2760,"currency":"USD","value_usd":2760},"apc_paid":{"value":2760,"currency":"USD","value_usd":2760},"fwci":0.5864,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.64124421,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2021","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","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"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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":0.9965999722480774,"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/rogue-wave","display_name":"Rogue wave","score":0.9587439298629761},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.7450634241104126},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5043002367019653},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4847545325756073},{"id":"https://openalex.org/keywords/conformable-matrix","display_name":"Conformable matrix","score":0.4687006175518036},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.43113434314727783},{"id":"https://openalex.org/keywords/crest","display_name":"Crest","score":0.423638254404068},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3975900411605835},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.38850319385528564},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3448059558868408},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.175896555185318},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.14319822192192078}],"concepts":[{"id":"https://openalex.org/C189201455","wikidata":"https://www.wikidata.org/wiki/Q110360","display_name":"Rogue wave","level":3,"score":0.9587439298629761},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.7450634241104126},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5043002367019653},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4847545325756073},{"id":"https://openalex.org/C86072612","wikidata":"https://www.wikidata.org/wiki/Q5160239","display_name":"Conformable matrix","level":2,"score":0.4687006175518036},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.43113434314727783},{"id":"https://openalex.org/C48880136","wikidata":"https://www.wikidata.org/wiki/Q864673","display_name":"Crest","level":2,"score":0.423638254404068},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3975900411605835},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.38850319385528564},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3448059558868408},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.175896555185318},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.14319822192192078},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2021/6669087","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/6669087","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/6669087.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:6669087","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/complexity/2021/6669087.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:8678576a981248c4a95d997904fa276c","is_oa":true,"landing_page_url":"https://doaj.org/article/8678576a981248c4a95d997904fa276c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2021 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2021/6669087","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/6669087","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/6669087.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.75,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G4536593145","display_name":null,"funder_award_id":"11971475","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5356674969","display_name":null,"funder_award_id":"LJ2020002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8525627577","display_name":null,"funder_award_id":"2020D01B01","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320328898","display_name":"Natural Science Foundation of Xinjiang","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3156604906.pdf","grobid_xml":"https://content.openalex.org/works/W3156604906.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W1503477950","https://openalex.org/W1504798165","https://openalex.org/W1507971731","https://openalex.org/W1785101463","https://openalex.org/W1989760690","https://openalex.org/W2009512956","https://openalex.org/W2040767493","https://openalex.org/W2063067239","https://openalex.org/W2067577527","https://openalex.org/W2068687201","https://openalex.org/W2069431858","https://openalex.org/W2079394382","https://openalex.org/W2080931732","https://openalex.org/W2093274602","https://openalex.org/W2102582588","https://openalex.org/W2128193840","https://openalex.org/W2397273960","https://openalex.org/W2479000310","https://openalex.org/W2538792258","https://openalex.org/W2767586722","https://openalex.org/W2787959293","https://openalex.org/W2807734377","https://openalex.org/W2883631367","https://openalex.org/W2892819965","https://openalex.org/W2922764771","https://openalex.org/W2946760946","https://openalex.org/W2951111379","https://openalex.org/W2966722932","https://openalex.org/W2972799534","https://openalex.org/W2990674348","https://openalex.org/W3006035521","https://openalex.org/W3017844333","https://openalex.org/W3022201764","https://openalex.org/W3030710864","https://openalex.org/W3038365032","https://openalex.org/W3099687097","https://openalex.org/W3134645020"],"related_works":["https://openalex.org/W2150106306","https://openalex.org/W2792191619","https://openalex.org/W3158217983","https://openalex.org/W4248103533","https://openalex.org/W3046588275","https://openalex.org/W3085259849","https://openalex.org/W3046886605","https://openalex.org/W3049703542","https://openalex.org/W3008631921","https://openalex.org/W4313364931"],"abstract_inverted_index":{"To":[0],"construct":[1,139],"fractional":[2,11,18,25,39,50,86,107,124,148],"rogue":[3,40,51,71,87,108,125,149],"waves,":[4],"this":[5,132],"paper":[6,133],"first":[7],"introduces":[8],"a":[9,24,136],"conformable":[10,17],"partial":[12,19],"derivative.":[13],"Based":[14],"on":[15,73],"the":[16,61,67,70,74,81,95,103,105,113,116,143],"derivative":[20],"and":[21,35,37,84,130,146],"its":[22],"properties,":[23],"Schr\u00f6dinger":[26],"(NLS)":[27],"equation":[28,98],"with":[29,99,127],"Lax":[30],"integrability":[31],"is":[32,78,118],"then":[33],"derived":[34],"first\u2010":[36,83,145],"second\u2010order":[38,85,106,147],"wave":[41,52,88,109,150],"solutions":[42,53,89],"of":[43,63,69,94],"which":[44],"are":[45,90],"finally":[46],"obtained.":[47],"The":[48],"obtained":[49,82,144],"possess":[54],"translational":[55],"coordination,":[56],"providing,":[57],"to":[58,65,115,138],"some":[59],"extent,":[60],"degree":[62],"freedom":[64],"adjust":[66],"position":[68],"waves":[72,126],"coordinate":[75],"plane.":[76],"It":[77],"shown":[79],"that":[80],"steeper":[91],"than":[92],"those":[93],"corresponding":[96],"NLS":[97],"integer\u2010order":[100],"derivatives.":[101],"Besides,":[102],"time":[104],"solution":[110],"undergoes":[111],"from":[112],"beginning":[114],"end":[117],"also":[119],"short.":[120],"As":[121],"for":[122],"asymmetric":[123],"different":[128],"backgrounds":[129],"amplitudes,":[131],"puts":[134],"forward":[135],"way":[137],"them":[140],"by":[141],"modifying":[142],"solutions.":[151]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}