{"id":"https://openalex.org/W2039636552","doi":"https://doi.org/10.1155/2013/193589","title":"Existence and Uniqueness of Solutions for a Type of Generalized Zakharov System","display_name":"Existence and Uniqueness of Solutions for a Type of Generalized Zakharov System","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2039636552","doi":"https://doi.org/10.1155/2013/193589","mag":"2039636552"},"language":"en","primary_location":{"id":"doi:10.1155/2013/193589","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/193589","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/193589.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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":"Journal of Applied Mathematics","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/jam/2013/193589.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100448318","display_name":"Rui Li","orcid":"https://orcid.org/0000-0001-5689-1170"},"institutions":[{"id":"https://openalex.org/I4210092870","display_name":"Jiaxing University","ror":"https://ror.org/00j2a7k55","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210092870"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rui Li","raw_affiliation_strings":["College of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang 314001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang 314001, China","institution_ids":["https://openalex.org/I4210092870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100763945","display_name":"Xing Lin","orcid":"https://orcid.org/0000-0002-0319-4408"},"institutions":[{"id":"https://openalex.org/I4210092870","display_name":"Jiaxing University","ror":"https://ror.org/00j2a7k55","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210092870"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xing Lin","raw_affiliation_strings":["College of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang 314001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang 314001, China","institution_ids":["https://openalex.org/I4210092870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101438150","display_name":"Zongwei Ma","orcid":"https://orcid.org/0000-0002-8529-4145"},"institutions":[{"id":"https://openalex.org/I4210092870","display_name":"Jiaxing University","ror":"https://ror.org/00j2a7k55","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210092870"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zongwei Ma","raw_affiliation_strings":["College of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang 314001, China"],"raw_orcid":"https://orcid.org/0000-0002-8529-4145","affiliations":[{"raw_affiliation_string":"College of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang 314001, China","institution_ids":["https://openalex.org/I4210092870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101668839","display_name":"Jingjun Zhang","orcid":"https://orcid.org/0000-0003-1152-5745"},"institutions":[{"id":"https://openalex.org/I4210092870","display_name":"Jiaxing University","ror":"https://ror.org/00j2a7k55","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210092870"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jingjun Zhang","raw_affiliation_strings":["College of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang 314001, China"],"raw_orcid":"https://orcid.org/0000-0003-1152-5745","affiliations":[{"raw_affiliation_string":"College of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang 314001, China","institution_ids":["https://openalex.org/I4210092870"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101668839"],"corresponding_institution_ids":["https://openalex.org/I4210092870"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.11093449,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":1.0,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9933000206947327,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9593999981880188,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/uniqueness","display_name":"Uniqueness","score":0.9060248136520386},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8154985308647156},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.7205405235290527},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5884018540382385},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.5259713530540466},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.4715081751346588},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46435025334358215},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.43445849418640137},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.428450345993042},{"id":"https://openalex.org/keywords/cauchy-problem","display_name":"Cauchy problem","score":0.4178589880466461},{"id":"https://openalex.org/keywords/energy-method","display_name":"Energy method","score":0.41360044479370117}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.9060248136520386},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8154985308647156},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.7205405235290527},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5884018540382385},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.5259713530540466},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.4715081751346588},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46435025334358215},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43445849418640137},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.428450345993042},{"id":"https://openalex.org/C153635880","wikidata":"https://www.wikidata.org/wiki/Q1412436","display_name":"Cauchy problem","level":3,"score":0.4178589880466461},{"id":"https://openalex.org/C2989268449","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Energy method","level":2,"score":0.41360044479370117},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2013/193589","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/193589","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/193589.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1394808281","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1394808281","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:193589","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2013/193589.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:951d3804f82d44479a3d8a2b74303a0e","is_oa":true,"landing_page_url":"https://doaj.org/article/951d3804f82d44479a3d8a2b74303a0e","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":"Journal of Applied Mathematics, Vol 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/193589","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/193589","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/193589.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"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":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.6499999761581421}],"awards":[{"id":"https://openalex.org/G1406762123","display_name":null,"funder_award_id":"LQ12A01013","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5388331141","display_name":null,"funder_award_id":"11201185","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6323960684","display_name":null,"funder_award_id":"11201185","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2039636552.pdf","grobid_xml":"https://content.openalex.org/works/W2039636552.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1562434801","https://openalex.org/W1663357484","https://openalex.org/W1964699420","https://openalex.org/W1972610584","https://openalex.org/W1983659446","https://openalex.org/W1989322111","https://openalex.org/W2000222470","https://openalex.org/W2023174645","https://openalex.org/W2035396032","https://openalex.org/W2039446272","https://openalex.org/W2047731256","https://openalex.org/W2056601454","https://openalex.org/W2059625669","https://openalex.org/W2062327117","https://openalex.org/W2086031034","https://openalex.org/W2086574007","https://openalex.org/W2314344187","https://openalex.org/W2753287713","https://openalex.org/W3124607094","https://openalex.org/W3134264853","https://openalex.org/W4236581885"],"related_works":["https://openalex.org/W2046787445","https://openalex.org/W2050111419","https://openalex.org/W3080347563","https://openalex.org/W2728486815","https://openalex.org/W3047368248","https://openalex.org/W2898988421","https://openalex.org/W2997292034","https://openalex.org/W3126767523","https://openalex.org/W1522429199","https://openalex.org/W1971334055"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,13,37],"Cauchy":[3],"problem":[4],"for":[5,30,42],"a":[6],"type":[7],"of":[8,15,39],"generalized":[9,44],"Zakharov":[10,45],"system.":[11,32,46],"With":[12],"help":[14],"energy":[16],"conservation":[17],"and":[18,25],"approximate":[19],"argument,":[20],"we":[21],"obtain":[22],"global":[23],"existence":[24,38],"uniqueness":[26],"in":[27],"Sobolev":[28],"spaces":[29],"this":[31,34,43],"Particularly,":[33],"result":[35],"implies":[36],"classical":[40],"solution":[41]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}