{"id":"https://openalex.org/W4225114577","doi":"https://doi.org/10.1155/2022/4383100","title":"N\u2010Lump to the (2+1)\u2010Dimensional Variable\u2010Coefficient Caudrey\u2013Dodd\u2013Gibbon\u2013Kotera\u2013Sawada Equation","display_name":"N\u2010Lump to the (2+1)\u2010Dimensional Variable\u2010Coefficient Caudrey\u2013Dodd\u2013Gibbon\u2013Kotera\u2013Sawada Equation","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4225114577","doi":"https://doi.org/10.1155/2022/4383100"},"language":"en","primary_location":{"id":"doi:10.1155/2022/4383100","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/4383100","pdf_url":"https://downloads.hindawi.com/journals/complexity/2022/4383100.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"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"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/2022/4383100.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082217652","display_name":"Junjie Li","orcid":"https://orcid.org/0000-0001-8391-987X"},"institutions":[{"id":"https://openalex.org/I75867142","display_name":"Xiamen University of Technology","ror":"https://ror.org/01285e189","country_code":"CN","type":"education","lineage":["https://openalex.org/I75867142"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junjie Li","raw_affiliation_strings":["School of Applied Mathematics, Xiamen University of Technology, Xiamen 361024, China"],"affiliations":[{"raw_affiliation_string":"School of Applied Mathematics, Xiamen University of Technology, Xiamen 361024, China","institution_ids":["https://openalex.org/I75867142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089603540","display_name":"Jalil Manafian","orcid":"https://orcid.org/0000-0001-7201-6667"},"institutions":[{"id":"https://openalex.org/I3130971797","display_name":"Lankaran State University","ror":"https://ror.org/0518w5j31","country_code":"AZ","type":"education","lineage":["https://openalex.org/I3130971797"]},{"id":"https://openalex.org/I41832843","display_name":"University of Tabriz","ror":"https://ror.org/01papkj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I41832843"]}],"countries":["AZ","IR"],"is_corresponding":true,"raw_author_name":"Jalil Manafian","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran","Natural Sciences Faculty, Lankaran State University, 50, H. Aslanov Str, Lankaran, Azerbaijan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran","institution_ids":["https://openalex.org/I41832843"]},{"raw_affiliation_string":"Natural Sciences Faculty, Lankaran State University, 50, H. Aslanov Str, Lankaran, Azerbaijan","institution_ids":["https://openalex.org/I3130971797"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025958598","display_name":"Aditya Wardhana","orcid":"https://orcid.org/0000-0002-3732-9454"},"institutions":[{"id":"https://openalex.org/I862893732","display_name":"Telkom University","ror":"https://ror.org/0004wsx81","country_code":"ID","type":"education","lineage":["https://openalex.org/I862893732"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Aditya Wardhana","raw_affiliation_strings":["Telkom University, Bandung, Indonesia"],"affiliations":[{"raw_affiliation_string":"Telkom University, Bandung, Indonesia","institution_ids":["https://openalex.org/I862893732"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002779075","display_name":"Ali J. Othman","orcid":"https://orcid.org/0000-0002-8309-1854"},"institutions":[{"id":"https://openalex.org/I103031861","display_name":"Plekhanov Russian University of Economics","ror":"https://ror.org/04pbtsc74","country_code":"RU","type":"education","lineage":["https://openalex.org/I103031861"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Ali J. Othman","raw_affiliation_strings":["Department of Commodity Research and Commodity Expertise, Plekhanov Russian University of Economics, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Department of Commodity Research and Commodity Expertise, Plekhanov Russian University of Economics, Moscow, Russia","institution_ids":["https://openalex.org/I103031861"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059395262","display_name":"Ismail Husein","orcid":"https://orcid.org/0000-0003-3718-4766"},"institutions":[{"id":"https://openalex.org/I4210137904","display_name":"Universitas Islam Negeri Sumatera Utara","ror":"https://ror.org/03z1wm043","country_code":"ID","type":"education","lineage":["https://openalex.org/I4210137904"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Ismail Husein","raw_affiliation_strings":["Department of Mathematics, Universitas Islam Negeri Sumatera Utara, Medan, Indonesia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Universitas Islam Negeri Sumatera Utara, Medan, Indonesia","institution_ids":["https://openalex.org/I4210137904"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036376440","display_name":"Mohaimen Al-Thamir","orcid":"https://orcid.org/0000-0001-7334-1613"},"institutions":[{"id":"https://openalex.org/I202735123","display_name":"Thi Qar University","ror":"https://ror.org/02ypa8k59","country_code":"IQ","type":"education","lineage":["https://openalex.org/I202735123"]},{"id":"https://openalex.org/I4387154453","display_name":"Al-Ayen Iraqi University","ror":"https://ror.org/02t6wt791","country_code":"IQ","type":"education","lineage":["https://openalex.org/I4387154453"]}],"countries":["IQ"],"is_corresponding":false,"raw_author_name":"Mohaimen Al-Thamir","raw_affiliation_strings":["Scientific Research Center, Al-Ayen University, i-Qar, Iraq","Scientific Research Center, Al-Ayen University, Thi-Qar, Iraq"],"affiliations":[{"raw_affiliation_string":"Scientific Research Center, Al-Ayen University, i-Qar, Iraq","institution_ids":["https://openalex.org/I202735123"]},{"raw_affiliation_string":"Scientific Research Center, Al-Ayen University, Thi-Qar, Iraq","institution_ids":["https://openalex.org/I202735123","https://openalex.org/I4387154453"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083459289","display_name":"Mostafa Abotaleb","orcid":"https://orcid.org/0000-0002-3442-6865"},"institutions":[{"id":"https://openalex.org/I107640659","display_name":"South Ural State University","ror":"https://ror.org/03sfk2504","country_code":"RU","type":"education","lineage":["https://openalex.org/I107640659"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Mostafa Abotaleb","raw_affiliation_strings":["Department of System Programming, South Ural State University, 454080 Chelyabinsk, Russia"],"affiliations":[{"raw_affiliation_string":"Department of System Programming, South Ural State University, 454080 Chelyabinsk, Russia","institution_ids":["https://openalex.org/I107640659"]}]}],"institutions":[],"countries_distinct_count":6,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5089603540"],"corresponding_institution_ids":["https://openalex.org/I3130971797","https://openalex.org/I41832843"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":2.3713,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.88901549,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"2022","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":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":0.9973999857902527,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9817000031471252,"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/variable-coefficient","display_name":"Variable coefficient","score":0.771766185760498},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.7401162385940552},{"id":"https://openalex.org/keywords/soliton","display_name":"Soliton","score":0.6501755714416504},{"id":"https://openalex.org/keywords/bilinear-form","display_name":"Bilinear form","score":0.644060492515564},{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.621040940284729},{"id":"https://openalex.org/keywords/maple","display_name":"Maple","score":0.615403413772583},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5764651298522949},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5236777663230896},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5160872340202332},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.502720832824707},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4713152050971985},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4364871680736542},{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.41144663095474243},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35811954736709595},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.34465497732162476},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32448285818099976},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24862807989120483},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.15816786885261536},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10272350907325745},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.09269252419471741}],"concepts":[{"id":"https://openalex.org/C3018795394","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Variable coefficient","level":2,"score":0.771766185760498},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.7401162385940552},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.6501755714416504},{"id":"https://openalex.org/C8828549","wikidata":"https://www.wikidata.org/wiki/Q837924","display_name":"Bilinear form","level":2,"score":0.644060492515564},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.621040940284729},{"id":"https://openalex.org/C2780414537","wikidata":"https://www.wikidata.org/wiki/Q42292","display_name":"Maple","level":2,"score":0.615403413772583},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5764651298522949},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5236777663230896},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5160872340202332},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.502720832824707},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4713152050971985},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4364871680736542},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.41144663095474243},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35811954736709595},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.34465497732162476},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32448285818099976},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24862807989120483},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.15816786885261536},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10272350907325745},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.09269252419471741},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2022/4383100","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/4383100","pdf_url":"https://downloads.hindawi.com/journals/complexity/2022/4383100.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"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"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:doaj.org/article:1153ab105c204972add0c9fe538ba324","is_oa":true,"landing_page_url":"https://doaj.org/article/1153ab105c204972add0c9fe538ba324","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2022 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2022/4383100","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/4383100","pdf_url":"https://downloads.hindawi.com/journals/complexity/2022/4383100.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"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"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":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4225114577.pdf","grobid_xml":"https://content.openalex.org/works/W4225114577.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W1507971731","https://openalex.org/W1588763593","https://openalex.org/W1985771272","https://openalex.org/W1989760690","https://openalex.org/W2012359767","https://openalex.org/W2049465333","https://openalex.org/W2276604490","https://openalex.org/W2321660163","https://openalex.org/W2327931777","https://openalex.org/W2754957694","https://openalex.org/W2791827733","https://openalex.org/W2808886422","https://openalex.org/W2864862162","https://openalex.org/W2905302723","https://openalex.org/W2912349450","https://openalex.org/W2931660824","https://openalex.org/W2934070062","https://openalex.org/W2947977030","https://openalex.org/W2964473073","https://openalex.org/W2966184187","https://openalex.org/W2968179496","https://openalex.org/W2982698161","https://openalex.org/W2995576994","https://openalex.org/W3010857677","https://openalex.org/W3014001436","https://openalex.org/W3018097161","https://openalex.org/W3040388606","https://openalex.org/W3106853833","https://openalex.org/W3114626062","https://openalex.org/W3115230254","https://openalex.org/W3117662596","https://openalex.org/W3135110325","https://openalex.org/W3154531468","https://openalex.org/W3158804445","https://openalex.org/W3160443605","https://openalex.org/W3161822928","https://openalex.org/W3164429899","https://openalex.org/W3177756516","https://openalex.org/W3182202630","https://openalex.org/W3192019532","https://openalex.org/W3193670758","https://openalex.org/W3195679796","https://openalex.org/W3202234211","https://openalex.org/W3204900520","https://openalex.org/W4200137408","https://openalex.org/W4200486416","https://openalex.org/W4205653558","https://openalex.org/W4205712198","https://openalex.org/W4232650420"],"related_works":["https://openalex.org/W2187413387","https://openalex.org/W2886642959","https://openalex.org/W851952888","https://openalex.org/W2140907685","https://openalex.org/W4210971937","https://openalex.org/W4386225212","https://openalex.org/W3186157483","https://openalex.org/W130393015","https://openalex.org/W2197675418","https://openalex.org/W2050356154"],"abstract_inverted_index":{"In":[0,99],"this":[1,85],"research,":[2],"the":[3,22,44,55,73,87,101,105,111,118,122,133],"(2":[4,56],"+":[5,57],"1)\u2010dimensional":[6],"(":[7],"D":[8],")":[9],"variable\u2010coefficient":[10],"(VC)":[11],"Caudrey\u2013Dodd\u2013Gibbon\u2013Kotera\u2013Sawada":[12,60],"model":[13,89],"used":[14],"in":[15,156],"soliton":[16,75,107],"hypothesis":[17],"and":[18,50,160],"implemented":[19],"by":[20,62,93],"operating":[21],"Hirota":[23],"bilinear":[24,71,79],"scheme":[25],"is":[26],"studied.":[27],"A":[28],"few":[29,129],"modern":[30],"exact":[31,136,150],"analytical":[32,102],"outcomes":[33,53,108],"containing":[34],"interaction":[35,41,45],"between":[36,42,46],"a":[37,128],"lump\u2010two":[38],"kink":[39,52],"soliton,":[40,48],"two\u2010lump,":[43],"two\u2010lump":[47],"lump\u2010periodic,":[49],"lump\u2010three":[51],"for":[54,132,152],"1)\u2010D":[58],"VC":[59],"equation":[61,81],"Maple":[63],"Symbolic":[64],"packages":[65],"are":[66,82],"obtained.":[67],"By":[68],"employing":[69],"Hirota\u2019s":[70],"technique,":[72],"extended":[74],"solutions":[76,131,151],"according":[77],"to":[78,109,148],"frame":[80],"received.":[83],"For":[84],"model,":[86],"contemplated":[88],"can":[90],"be":[91,146],"got":[92],"multi\u2010D":[94],"binary":[95],"Bell":[96],"polynomials":[97],"(bBPs).":[98],"addition,":[100],"analysis":[103],"of":[104,113,117,124,127],"high\u2010order":[106],"present":[110],"discipline":[112],"outcomes.":[114],"The":[115,141],"effect":[116],"free":[119],"parameters":[120],"on":[121],"behavior":[123],"acquired":[125],"figures":[126],"obtained":[130],"nonlinear":[134,154],"rational":[135],"cases":[137],"was":[138],"also":[139,145],"discussed.":[140],"above":[142],"technique":[143],"could":[144],"employed":[147],"get":[149],"other":[153],"models":[155],"physics,":[157],"applied":[158],"mathematics,":[159],"engineering.":[161]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}