{"id":"https://openalex.org/W2376834089","doi":null,"title":"The Explicit Solutions of A(2+1)-Dimensional Long Wave Equation","display_name":"The Explicit Solutions of A(2+1)-Dimensional Long Wave Equation","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2376834089","mag":"2376834089"},"language":"en","primary_location":{"id":"mag:2376834089","doi":null,"is_oa":false,"landing_page_url":"https://en.cnki.com.cn/Article_en/CJFDTOTAL-HDZR201103005.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764664398","display_name":"Journal of Henan University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4323283969","host_organization_name":"Henan University","host_organization_lineage":["https://openalex.org/P4323283969"],"host_organization_lineage_names":["Henan University"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Henan University","raw_type":null},"parent_works":[],"lineage":["https://openalex.org/W2376834089"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":[],"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/A5100657661","display_name":"Hanyu Wei","orcid":"https://orcid.org/0000-0002-2668-9550","observed_orcids":["https://orcid.org/0000-0002-2668-9550"]},"institutions":[{"id":"https://openalex.org/I4210093674","display_name":"Zhoukou Normal University","ror":"https://ror.org/00jjkh886","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210093674"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hanyu Wei","raw_affiliation_strings":["Department of Matematicas and Information Science,Zhoukou Normal University,Henan Zhoukou 466000,China)"],"raw_orcid":"https://orcid.org/0000-0002-2668-9550","affiliations":[{"raw_affiliation_string":"Department of Matematicas and Information Science,Zhoukou Normal University,Henan Zhoukou 466000,China)","institution_ids":["https://openalex.org/I4210093674"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100657661"],"corresponding_institution_ids":["https://openalex.org/I4210093674"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11416","display_name":"Numerical Solvers for Ordinary Differential Equations","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/exact-soliton-solutions","display_name":"exact soliton solutions","score":0.7350000143051147},{"id":"https://openalex.org/keywords/mobius-transformations","display_name":"M\u00f6bius transformations","score":0.6129999756813049},{"id":"https://openalex.org/keywords/perturbation-method","display_name":"perturbation method","score":0.8420000076293945},{"id":"https://openalex.org/keywords/wronskian-solutions","display_name":"Wronskian solutions","score":0.8769999742507935},{"id":"https://openalex.org/keywords/multi-soliton-solutions","display_name":"N-soliton solutions","score":0.7490000128746033}],"concepts":[{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.7204370498657227},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5947730541229248},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.5923133492469788},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5497586727142334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5480454564094543},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5238014459609985},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.5167531371116638},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.48830580711364746},{"id":"https://openalex.org/C8828549","wikidata":"https://www.wikidata.org/wiki/Q837924","display_name":"Bilinear form","level":2,"score":0.46006500720977783},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.44861406087875366},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3123454451560974},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12231242656707764},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.08267486095428467},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07793572545051575},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2376834089","doi":null,"is_oa":false,"landing_page_url":"https://en.cnki.com.cn/Article_en/CJFDTOTAL-HDZR201103005.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764664398","display_name":"Journal of Henan University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4323283969","host_organization_name":"Henan University","host_organization_lineage":["https://openalex.org/P4323283969"],"host_organization_lineage_names":["Henan University"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Henan University","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2376975393","https://openalex.org/W2004210570","https://openalex.org/W2036369322","https://openalex.org/W2379540934","https://openalex.org/W2288078979","https://openalex.org/W2358842112","https://openalex.org/W2089929351","https://openalex.org/W2034390776","https://openalex.org/W2390453453","https://openalex.org/W2374728659"],"abstract_inverted_index":{"This":[0],"paper":[1,21],"examines":[2],"a(2":[3],"+":[4],"1)-dimensional":[5],"long":[6],"wave":[7],"equation,through":[8],"a":[9],"proper":[10],"transformation,the":[11],"soliton":[12],"equation":[13],"can":[14],"be":[15],"transformed":[16],"into":[17],"bilinear":[18],"differential":[19],"equations.Next,the":[20],"finds":[22],"the":[23,28],"exact":[24],"n-Soliton":[25],"solution":[26],"by":[27],"perturbation":[29],"method.Finally,another":[30],"type":[31],"solution-Wronsky":[32],"is":[33],"obtained.":[34]},"counts_by_year":[],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2016-06-24T00:00:00"}
