{"id":"https://openalex.org/W4378567038","doi":"https://doi.org/10.3390/axioms12060519","title":"On the Wave Structures to the (3+1)-Dimensional Boiti\u2013Leon\u2013Manna\u2013Pempinelli Equation in Incompressible Fluid","display_name":"On the Wave Structures to the (3+1)-Dimensional Boiti\u2013Leon\u2013Manna\u2013Pempinelli Equation in Incompressible Fluid","publication_year":2023,"publication_date":"2023-05-25","ids":{"openalex":"https://openalex.org/W4378567038","doi":"https://doi.org/10.3390/axioms12060519"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12060519","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/axioms12060519","pdf_url":"https://www.mdpi.com/2075-1680/12/6/519/pdf?version=1685012545","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/12/6/519/pdf?version=1685012545","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067436222","display_name":"Yan-Nan Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I4210166499","display_name":"Henan Polytechnic University","ror":"https://ror.org/05vr1c885","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210166499"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan-Nan Chen","raw_affiliation_strings":["School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo 454003, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo 454003, China","institution_ids":["https://openalex.org/I4210166499"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064814377","display_name":"Kang\u2010Jia Wang","orcid":"https://orcid.org/0000-0002-3905-0844"},"institutions":[{"id":"https://openalex.org/I4210166499","display_name":"Henan Polytechnic University","ror":"https://ror.org/05vr1c885","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210166499"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kang-Jia Wang","raw_affiliation_strings":["School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo 454003, China"],"raw_orcid":"https://orcid.org/0000-0002-3905-0844","affiliations":[{"raw_affiliation_string":"School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo 454003, China","institution_ids":["https://openalex.org/I4210166499"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5064814377"],"corresponding_institution_ids":["https://openalex.org/I4210166499"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.1465,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.40270992,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"12","issue":"6","first_page":"519","last_page":"519"},"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":0.9990000128746033,"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":0.9929999709129333,"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/compressibility","display_name":"Compressibility","score":0.7729270458221436},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5017180442810059},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.4705911874771118},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.4378120005130768},{"id":"https://openalex.org/keywords/one-dimensional-space","display_name":"One-dimensional space","score":0.4107885956764221},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4092251658439636},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31270134449005127},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.28022438287734985}],"concepts":[{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.7729270458221436},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5017180442810059},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.4705911874771118},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.4378120005130768},{"id":"https://openalex.org/C175205982","wikidata":"https://www.wikidata.org/wiki/Q208920","display_name":"One-dimensional space","level":2,"score":0.4107885956764221},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4092251658439636},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31270134449005127},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.28022438287734985},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms12060519","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/axioms12060519","pdf_url":"https://www.mdpi.com/2075-1680/12/6/519/pdf?version=1685012545","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:f0f7db67fafe44dface2e4171d1495ce","is_oa":true,"landing_page_url":"https://doaj.org/article/f0f7db67fafe44dface2e4171d1495ce","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":"Axioms, Vol 12, Iss 6, p 519 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/12/6/519/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms12060519","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 12; Issue 6; Pages: 519","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms12060519","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/axioms12060519","pdf_url":"https://www.mdpi.com/2075-1680/12/6/519/pdf?version=1685012545","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2906283866","display_name":null,"funder_award_id":"21IRTSTHN016","funder_id":"https://openalex.org/F4320321954","funder_display_name":"Henan Polytechnic University"},{"id":"https://openalex.org/G5200175231","display_name":null,"funder_award_id":"B2018-40","funder_id":"https://openalex.org/F4320321954","funder_display_name":"Henan Polytechnic University"},{"id":"https://openalex.org/G6641219931","display_name":null,"funder_award_id":"22A140006","funder_id":"https://openalex.org/F4320321954","funder_display_name":"Henan Polytechnic University"}],"funders":[{"id":"https://openalex.org/F4320321954","display_name":"Henan Polytechnic University","ror":"https://ror.org/05vr1c885"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4378567038.pdf","grobid_xml":"https://content.openalex.org/works/W4378567038.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1974106447","https://openalex.org/W2026785729","https://openalex.org/W2086155735","https://openalex.org/W2141112962","https://openalex.org/W2552046600","https://openalex.org/W2555862172","https://openalex.org/W2769332788","https://openalex.org/W2790224602","https://openalex.org/W2808502003","https://openalex.org/W2905688796","https://openalex.org/W2907279985","https://openalex.org/W2914631790","https://openalex.org/W2946977314","https://openalex.org/W2948581412","https://openalex.org/W2964853409","https://openalex.org/W2972799534","https://openalex.org/W3008882901","https://openalex.org/W3020127197","https://openalex.org/W3021733447","https://openalex.org/W3035537523","https://openalex.org/W3047200991","https://openalex.org/W3086224617","https://openalex.org/W3092298199","https://openalex.org/W3119018556","https://openalex.org/W3135699106","https://openalex.org/W3164592078","https://openalex.org/W3165655051","https://openalex.org/W4214902984","https://openalex.org/W4226213671","https://openalex.org/W4281668634","https://openalex.org/W4283217189","https://openalex.org/W4316923593","https://openalex.org/W4317829640","https://openalex.org/W4318028259","https://openalex.org/W4323661124","https://openalex.org/W4360849289","https://openalex.org/W4360849809","https://openalex.org/W4363679441","https://openalex.org/W6729955534"],"related_works":["https://openalex.org/W2032233321","https://openalex.org/W3121970507","https://openalex.org/W2012983134","https://openalex.org/W4221141490","https://openalex.org/W4226186576","https://openalex.org/W1975505774","https://openalex.org/W2002089339","https://openalex.org/W2148300276","https://openalex.org/W2338343474","https://openalex.org/W2066030827"],"abstract_inverted_index":{"In":[0],"the":[1,7,18,22,32,38,42,56,60,62,74,82,90,101,115],"present":[2],"study,":[3],"two":[4],"effective":[5],"methods,":[6,61],"Exp-function":[8],"method":[9],"and":[10,47,68,95,106],"He\u2019s":[11],"frequency":[12],"formulation,":[13],"are":[14,51,65,84,104,109],"employed":[15],"to":[16,30,111],"investigate":[17],"dynamic":[19],"behaviors":[20],"of":[21,37,81,92,117],"(3+1)-dimensional":[23],"Boiti\u2013Leon\u2013Manna\u2013Pempinelli":[24],"equation,":[25],"which":[26,108],"is":[27],"used":[28],"widely":[29],"describe":[31],"incompressible":[33],"fluid.":[34,121],"A":[35],"variety":[36],"wave":[39,46,49,79],"structures,":[40],"including":[41],"dark":[43],"wave,":[44],"bright-dark":[45],"periodic":[48],"solutions,":[50],"successfully":[52],"constructed.":[53],"Compared":[54],"with":[55],"results":[57,88],"attained":[58],"by":[59],"obtained":[63],"solutions":[64,83],"all":[66],"new":[67],"have":[69],"not":[70],"been":[71],"presented":[72,85],"in":[73,89,120],"other":[75],"literature.":[76],"The":[77],"diverse":[78],"structures":[80],"through":[86],"numerical":[87],"form":[91],"three-dimensional":[93],"plots":[94],"two-dimensional":[96],"curves.":[97],"It":[98],"reveals":[99],"that":[100],"proposed":[102],"methods":[103],"powerful":[105],"straightforward,":[107],"expected":[110],"be":[112],"helpful":[113],"for":[114],"study":[116],"travelling-wave":[118],"theory":[119]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}