{"id":"https://openalex.org/W2017182685","doi":"https://doi.org/10.1142/s0218127413500879","title":"TRAVELING WAVE SOLUTIONS OF THE GREEN\u2013NAGHDI SYSTEM","display_name":"TRAVELING WAVE SOLUTIONS OF THE GREEN\u2013NAGHDI SYSTEM","publication_year":2013,"publication_date":"2013-05-01","ids":{"openalex":"https://openalex.org/W2017182685","doi":"https://doi.org/10.1142/s0218127413500879","mag":"2017182685"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127413500879","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127413500879","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5057733790","display_name":"Shengfu Deng","orcid":"https://orcid.org/0000-0002-9793-0911"},"institutions":[{"id":"https://openalex.org/I154833797","display_name":"Lingnan Normal University","ror":"https://ror.org/01h6ecw13","country_code":"CN","type":"education","lineage":["https://openalex.org/I154833797"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"SHENGFU DENG","raw_affiliation_strings":["Department of Mathematics, Zhanjiang Normal University, Zhanjiang 524048, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhanjiang Normal University, Zhanjiang 524048, P. R. China","institution_ids":["https://openalex.org/I154833797"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110375164","display_name":"Boling Guo","orcid":null},"institutions":[{"id":"https://openalex.org/I4210145278","display_name":"Institute of Applied Physics and Computational Mathematics","ror":"https://ror.org/03sxpbt26","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210145278"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"BOLING GUO","raw_affiliation_strings":["Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, P. R. China","institution_ids":["https://openalex.org/I4210145278"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044135785","display_name":"Ting-Chun Wang","orcid":"https://orcid.org/0000-0002-1522-2381"},"institutions":[{"id":"https://openalex.org/I200845125","display_name":"Nanjing University of Information Science and Technology","ror":"https://ror.org/02y0rxk19","country_code":"CN","type":"education","lineage":["https://openalex.org/I200845125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"TINGCHUN WANG","raw_affiliation_strings":["School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China","School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China","institution_ids":["https://openalex.org/I200845125"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, P.R. China","institution_ids":["https://openalex.org/I200845125"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2498,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.5677047,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"23","issue":"05","first_page":"1350087","last_page":"1350087"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9997000098228455,"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":0.9997000098228455,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9987000226974487,"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"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/phase-portrait","display_name":"Phase portrait","score":0.9210630655288696},{"id":"https://openalex.org/keywords/traveling-wave","display_name":"Traveling wave","score":0.8376548886299133},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.6774581670761108},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.6169175505638123},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5466291904449463},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5446556806564331},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.49873948097229004},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.465945839881897},{"id":"https://openalex.org/keywords/wave-model","display_name":"Wave model","score":0.4134822487831116},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3288046717643738},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22910389304161072},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.15828272700309753},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.152482271194458}],"concepts":[{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.9210630655288696},{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.8376548886299133},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.6774581670761108},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.6169175505638123},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5466291904449463},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5446556806564331},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.49873948097229004},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.465945839881897},{"id":"https://openalex.org/C35797730","wikidata":"https://www.wikidata.org/wiki/Q1929527","display_name":"Wave model","level":2,"score":0.4134822487831116},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3288046717643738},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22910389304161072},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.15828272700309753},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.152482271194458},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127413500879","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127413500879","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1983802450","https://openalex.org/W1997469526","https://openalex.org/W2002084677","https://openalex.org/W2002779897","https://openalex.org/W2006416953","https://openalex.org/W2023388243","https://openalex.org/W2038735336","https://openalex.org/W2052497704","https://openalex.org/W2081735292","https://openalex.org/W2098801586","https://openalex.org/W2102961728","https://openalex.org/W2108202098","https://openalex.org/W2116250046","https://openalex.org/W2116632712","https://openalex.org/W2127230707","https://openalex.org/W2166794297"],"related_works":["https://openalex.org/W2339458745","https://openalex.org/W2090092041","https://openalex.org/W3019927421","https://openalex.org/W2539498162","https://openalex.org/W1991143086","https://openalex.org/W1970261423","https://openalex.org/W2891114137","https://openalex.org/W1979245199","https://openalex.org/W4322761016","https://openalex.org/W1968539151"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,7,11,28,42,51],"traveling":[3,52],"wave":[4,34,53],"solutions":[5,54],"of":[6,15,31,41,55],"Green\u2013Naghdi":[8],"system.":[9],"Using":[10],"qualitative":[12],"analysis":[13],"methods":[14],"planar":[16],"autonomous":[17],"systems,":[18],"we":[19],"show":[20],"not":[21],"only":[22],"its":[23,56],"phase":[24],"portraits":[25],"but":[26],"also":[27],"exact":[29],"expressions":[30],"some":[32,60],"bounded":[33],"solutions.":[35],"These":[36],"results":[37],"are":[38],"a":[39],"complement":[40],"work":[43],"by":[44],"Deng":[45],"et":[46],"al.":[47],"[2011],":[48],"which":[49],"studied":[50],"equivalent":[57],"system":[58],"under":[59],"conditions.":[61]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
