{"id":"https://openalex.org/W4378418028","doi":"https://doi.org/10.1080/00207160.2023.2219349","title":"Higher-order breather, lump and hybrid solutions of (2\u2009+\u20091)-dimensional coupled nonlinear evolution equations with time-dependent coefficients","display_name":"Higher-order breather, lump and hybrid solutions of (2\u2009+\u20091)-dimensional coupled nonlinear evolution equations with time-dependent coefficients","publication_year":2023,"publication_date":"2023-05-27","ids":{"openalex":"https://openalex.org/W4378418028","doi":"https://doi.org/10.1080/00207160.2023.2219349"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2023.2219349","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1080/00207160.2023.2219349","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/A5109424344","display_name":"Chen Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I144581915","display_name":"Jishou University","ror":"https://ror.org/056szk247","country_code":"CN","type":"education","lineage":["https://openalex.org/I144581915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chen Wang","raw_affiliation_strings":["College of Mathematics and Statistics, Jishou University, Jishou, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Jishou University, Jishou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I144581915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030159167","display_name":"Houping Dai","orcid":"https://orcid.org/0000-0002-5346-6934"},"institutions":[{"id":"https://openalex.org/I144581915","display_name":"Jishou University","ror":"https://ror.org/056szk247","country_code":"CN","type":"education","lineage":["https://openalex.org/I144581915"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hou-ping Dai","raw_affiliation_strings":["College of Mathematics and Statistics, Jishou University, Jishou, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Jishou University, Jishou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I144581915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100621782","display_name":"Mengjun Li","orcid":null},"institutions":[{"id":"https://openalex.org/I144581915","display_name":"Jishou University","ror":"https://ror.org/056szk247","country_code":"CN","type":"education","lineage":["https://openalex.org/I144581915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meng-jun Li","raw_affiliation_strings":["College of Mathematics and Statistics, Jishou University, Jishou, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Jishou University, Jishou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I144581915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104121202","display_name":"Ying-xin Feng","orcid":null},"institutions":[{"id":"https://openalex.org/I144581915","display_name":"Jishou University","ror":"https://ror.org/056szk247","country_code":"CN","type":"education","lineage":["https://openalex.org/I144581915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying-xin Feng","raw_affiliation_strings":["College of Mathematics and Statistics, Jishou University, Jishou, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Jishou University, Jishou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I144581915"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5030159167"],"corresponding_institution_ids":["https://openalex.org/I144581915"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05825679,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"100","issue":"9","first_page":"1860","last_page":"1876"},"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":0.9944999814033508,"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":0.9901000261306763,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/breather","display_name":"Breather","score":0.9378424882888794},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7266560196876526},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6806704998016357},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6508398652076721},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.5724772214889526},{"id":"https://openalex.org/keywords/bilinear-form","display_name":"Bilinear form","score":0.5700735449790955},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5531227588653564},{"id":"https://openalex.org/keywords/soliton","display_name":"Soliton","score":0.4359831213951111},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43498602509498596},{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.4233129918575287},{"id":"https://openalex.org/keywords/rogue-wave","display_name":"Rogue wave","score":0.4199840724468231},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1272275447845459},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06890857219696045}],"concepts":[{"id":"https://openalex.org/C74455749","wikidata":"https://www.wikidata.org/wiki/Q5254599","display_name":"Breather","level":3,"score":0.9378424882888794},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7266560196876526},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6806704998016357},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6508398652076721},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.5724772214889526},{"id":"https://openalex.org/C8828549","wikidata":"https://www.wikidata.org/wiki/Q837924","display_name":"Bilinear form","level":2,"score":0.5700735449790955},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5531227588653564},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.4359831213951111},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43498602509498596},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.4233129918575287},{"id":"https://openalex.org/C189201455","wikidata":"https://www.wikidata.org/wiki/Q110360","display_name":"Rogue wave","level":3,"score":0.4199840724468231},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1272275447845459},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06890857219696045},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2023.2219349","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1080/00207160.2023.2219349","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":[{"score":0.5099999904632568,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G386326940","display_name":null,"funder_award_id":"2021JJ30548 and 2021JJ40434","funder_id":"https://openalex.org/F4320322866","funder_display_name":"Natural Science Foundation of Hainan Province"}],"funders":[{"id":"https://openalex.org/F4320322866","display_name":"Natural Science Foundation of Hainan Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W2056662114","https://openalex.org/W2794669094","https://openalex.org/W2892163648","https://openalex.org/W2914307335","https://openalex.org/W2916258464","https://openalex.org/W2971283152","https://openalex.org/W2975974987","https://openalex.org/W2976172465","https://openalex.org/W3020146129","https://openalex.org/W3048256540","https://openalex.org/W3101391038","https://openalex.org/W3113293175","https://openalex.org/W3114626062","https://openalex.org/W3122961881","https://openalex.org/W3128846038","https://openalex.org/W3152777496","https://openalex.org/W3153475122","https://openalex.org/W3162670044","https://openalex.org/W3177548255","https://openalex.org/W3180814040","https://openalex.org/W3195269727","https://openalex.org/W3197774810","https://openalex.org/W3204090163","https://openalex.org/W3210470027","https://openalex.org/W3213241986","https://openalex.org/W3217323381","https://openalex.org/W3217542190","https://openalex.org/W4200251312","https://openalex.org/W4211139624","https://openalex.org/W4213321337","https://openalex.org/W4214827044","https://openalex.org/W4223996330","https://openalex.org/W4224244149","https://openalex.org/W4226182409","https://openalex.org/W4319242239"],"related_works":["https://openalex.org/W4389036002","https://openalex.org/W3094221240","https://openalex.org/W4210419048","https://openalex.org/W2980853704","https://openalex.org/W4388044874","https://openalex.org/W4391329000","https://openalex.org/W2045043406","https://openalex.org/W2605620274","https://openalex.org/W3008333151","https://openalex.org/W3040477263"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"a":[3],"class":[4],"of":[5,66,81],"(2":[6],"+":[7],"1)-dimensional":[8],"coupled":[9],"nonlinear":[10],"evolution":[11,64],"equation":[12],"with":[13],"time-dependent":[14,73],"coefficients":[15,74],"in":[16,78],"an":[17],"inhomogeneous":[18],"medium":[19],"via":[20],"the":[21,26,35,59,62,79],"Hirota":[22],"bilinear":[23],"method.":[24],"Combining":[25],"long":[27],"wave":[28],"limit":[29],"method":[30],"and":[31,38,50],"complex":[32],"conjugate":[33],"transform,":[34],"higher-order":[36],"breather":[37,51],"lump":[39,49],"solutions":[40,46,52,70],"are":[41,53],"initially":[42],"constructed.":[43],"Furthermore,":[44],"hybrid":[45],"among":[47],"N-soliton,":[48],"derived":[54],"by":[55],"linear":[56],"constraints":[57],"on":[58],"parameters.":[60],"Meanwhile,":[61],"dynamic":[63],"behaviour":[65],"some":[67],"special":[68],"concrete":[69],"under":[71],"different":[72],"is":[75],"presented":[76],"visually":[77],"form":[80],"images.":[82]},"counts_by_year":[],"updated_date":"2025-12-22T23:10:17.713674","created_date":"2025-10-10T00:00:00"}