{"id":"https://openalex.org/W2010536805","doi":"https://doi.org/10.1080/00207160601138756","title":"Solitons and periodic solutions of coupled nonlinear evolution equations by using the sine\u2013cosine method","display_name":"Solitons and periodic solutions of coupled nonlinear evolution equations by using the sine\u2013cosine method","publication_year":2006,"publication_date":"2006-12-01","ids":{"openalex":"https://openalex.org/W2010536805","doi":"https://doi.org/10.1080/00207160601138756","mag":"2010536805"},"language":"en","primary_location":{"id":"doi:10.1080/00207160601138756","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160601138756","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"],"host_organization_lineage_names":["Taylor & Francis"],"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/A5048750005","display_name":"El\u00e7in Yusufo\u011flu","orcid":null},"institutions":[{"id":"https://openalex.org/I3018710136","display_name":"Dumlupinar University","ror":"https://ror.org/03jtrja12","country_code":"TR","type":"education","lineage":["https://openalex.org/I3018710136"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"E. Yusufo\u011flu","raw_affiliation_strings":["\n Mathematics Department, Art\u2013Science Faculty, Dumlupinar University, K\u00fctahya, Turkey","Mathematics Department, Art\u2013Science Faculty , Dumlupinar University , K\u00fctahya, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n Mathematics Department, Art\u2013Science Faculty, Dumlupinar University, K\u00fctahya, Turkey","institution_ids":["https://openalex.org/I3018710136"]},{"raw_affiliation_string":"Mathematics Department, Art\u2013Science Faculty , Dumlupinar University , K\u00fctahya, Turkey","institution_ids":["https://openalex.org/I3018710136"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042426376","display_name":"Ahmet Bekir","orcid":"https://orcid.org/0000-0001-9394-4681"},"institutions":[{"id":"https://openalex.org/I3018710136","display_name":"Dumlupinar University","ror":"https://ror.org/03jtrja12","country_code":"TR","type":"education","lineage":["https://openalex.org/I3018710136"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"A. Bekir","raw_affiliation_strings":["\n Mathematics Department, Art\u2013Science Faculty, Dumlupinar University, K\u00fctahya, Turkey","Mathematics Department, Art\u2013Science Faculty , Dumlupinar University , K\u00fctahya, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n Mathematics Department, Art\u2013Science Faculty, Dumlupinar University, K\u00fctahya, Turkey","institution_ids":["https://openalex.org/I3018710136"]},{"raw_affiliation_string":"Mathematics Department, Art\u2013Science Faculty , Dumlupinar University , K\u00fctahya, Turkey","institution_ids":["https://openalex.org/I3018710136"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5042426376"],"corresponding_institution_ids":["https://openalex.org/I3018710136"],"apc_list":null,"apc_paid":null,"fwci":3.0088,"has_fulltext":false,"cited_by_count":100,"citation_normalized_percentile":{"value":0.91267934,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"83","issue":"12","first_page":"915","last_page":"924"},"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":0.9988999962806702,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9815999865531921,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.7363000512123108},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7259516716003418},{"id":"https://openalex.org/keywords/sine","display_name":"Sine","score":0.7232187986373901},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7183395624160767},{"id":"https://openalex.org/keywords/soliton","display_name":"Soliton","score":0.6476073265075684},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5863412618637085},{"id":"https://openalex.org/keywords/traveling-wave","display_name":"Traveling wave","score":0.4689371585845947},{"id":"https://openalex.org/keywords/novikov-self-consistency-principle","display_name":"Novikov self-consistency principle","score":0.45230013132095337},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.4113417863845825},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32581502199172974},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1632014513015747},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15870177745819092},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07446429133415222},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06884881854057312}],"concepts":[{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.7363000512123108},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7259516716003418},{"id":"https://openalex.org/C186661526","wikidata":"https://www.wikidata.org/wiki/Q13647261","display_name":"Sine","level":2,"score":0.7232187986373901},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7183395624160767},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.6476073265075684},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5863412618637085},{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.4689371585845947},{"id":"https://openalex.org/C114170632","wikidata":"https://www.wikidata.org/wiki/Q2003641","display_name":"Novikov self-consistency principle","level":2,"score":0.45230013132095337},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.4113417863845825},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32581502199172974},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1632014513015747},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15870177745819092},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07446429133415222},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06884881854057312}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160601138756","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160601138756","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"],"host_organization_lineage_names":["Taylor & Francis"],"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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W121027315","https://openalex.org/W294519166","https://openalex.org/W635490858","https://openalex.org/W1240715350","https://openalex.org/W1974900898","https://openalex.org/W1980542961","https://openalex.org/W1981850703","https://openalex.org/W1990720130","https://openalex.org/W1993877172","https://openalex.org/W1998920099","https://openalex.org/W2003674024","https://openalex.org/W2005024847","https://openalex.org/W2009153306","https://openalex.org/W2009337802","https://openalex.org/W2019810632","https://openalex.org/W2028631394","https://openalex.org/W2042841785","https://openalex.org/W2043597945","https://openalex.org/W2043756190","https://openalex.org/W2046828453","https://openalex.org/W2047625779","https://openalex.org/W2050297530","https://openalex.org/W2052142989","https://openalex.org/W2053559632","https://openalex.org/W2056035810","https://openalex.org/W2057436683","https://openalex.org/W2059867274","https://openalex.org/W2061496940","https://openalex.org/W2061840444","https://openalex.org/W2066336292","https://openalex.org/W2071878842","https://openalex.org/W2073817609","https://openalex.org/W2081296189","https://openalex.org/W2081373709","https://openalex.org/W2081530167","https://openalex.org/W2083960709","https://openalex.org/W2085810477","https://openalex.org/W2094367908","https://openalex.org/W2094949990","https://openalex.org/W2095746279","https://openalex.org/W2110627003","https://openalex.org/W2118575947","https://openalex.org/W2125518390","https://openalex.org/W2127087739","https://openalex.org/W2154820967","https://openalex.org/W2167824467","https://openalex.org/W4210687930"],"related_works":["https://openalex.org/W1966459141","https://openalex.org/W2186103218","https://openalex.org/W2114865018","https://openalex.org/W2077999582","https://openalex.org/W2206454252","https://openalex.org/W2969713167","https://openalex.org/W2187198214","https://openalex.org/W3172533740","https://openalex.org/W2986287486","https://openalex.org/W2151615125"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"we":[4],"establish":[5],"exact":[6,20,34],"solutions":[7,24,37,56,66],"for":[8,73,93],"coupled":[9,26,45],"nonlinear":[10,27,46],"evolution":[11,28],"equations.":[12,29],"The":[13,54,88],"sine\u2013cosine":[14],"method":[15],"is":[16],"used":[17],"to":[18],"construct":[19],"periodic":[21,63],"and":[22,43,48,62,70],"soliton":[23],"of":[25,33,38,71,76],"Many":[30],"new":[31],"families":[32],"travelling":[35],"wave":[36],"the":[39,44,74,91],"(2+1)-dimensional":[40],"Konopelchenko\u2013Dubrovsky":[41],"equations":[42,50,86],"Klein\u2013Gordon":[47],"Nizhnik\u2013Novikov\u2013Veselov":[49],"are":[51],"successfully":[52],"obtained.":[53],"obtained":[55],"include":[57],"compactons,":[58],"solitons,":[59],"solitary":[60],"patterns":[61],"solutions.":[64],"These":[65],"may":[67],"be":[68],"important":[69],"significance":[72],"explanation":[75],"some":[77],"practical":[78],"physical":[79],"problems.":[80],"Keywords:":[81],"SolitonsSine\u2013cosine":[82],"methodKonopelchenko\u2013Dubrovsky":[83],"equationsKlein\u2013Gordon":[84],"equationsNizhnik\u2013Novikov\u2013Veselov":[85],"Acknowledgements":[87],"authors":[89],"thank":[90],"referees":[92],"their":[94],"fruitful":[95],"comments.":[96]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":11}],"updated_date":"2026-06-09T15:46:55.921056","created_date":"2025-10-10T00:00:00"}