{"id":"https://openalex.org/W2912449497","doi":"https://doi.org/10.1142/s0218127419500147","title":"More on Bifurcations and Dynamics of Traveling Wave Solutions for a Higher-Order Shallow Water Wave Equation","display_name":"More on Bifurcations and Dynamics of Traveling Wave Solutions for a Higher-Order Shallow Water Wave Equation","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2912449497","doi":"https://doi.org/10.1142/s0218127419500147","mag":"2912449497"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127419500147","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127419500147","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/A5100599691","display_name":"Jibin Li","orcid":"https://orcid.org/0000-0003-4839-5956"},"institutions":[{"id":"https://openalex.org/I119045251","display_name":"Huaqiao University","ror":"https://ror.org/03frdh605","country_code":"CN","type":"education","lineage":["https://openalex.org/I119045251"]},{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jibin Li","raw_affiliation_strings":["Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China","School of Mathematical Sciences, Huaqiao University, Quanzhou, Fujian 362021, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China","institution_ids":["https://openalex.org/I135237710"]},{"raw_affiliation_string":"School of Mathematical Sciences, Huaqiao University, Quanzhou, Fujian 362021, P. R. China","institution_ids":["https://openalex.org/I119045251"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024633466","display_name":"Guanrong Chen","orcid":"https://orcid.org/0000-0003-1381-7418"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Guanrong Chen","raw_affiliation_strings":["Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, P. R. China","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100599691"],"corresponding_institution_ids":["https://openalex.org/I119045251","https://openalex.org/I135237710"],"apc_list":null,"apc_paid":null,"fwci":0.5792,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.64004144,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"29","issue":"01","first_page":"1950014","last_page":"1950014"},"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9984999895095825,"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9973999857902527,"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/peakon","display_name":"Peakon","score":0.9724874496459961},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6337746381759644},{"id":"https://openalex.org/keywords/traveling-wave","display_name":"Traveling wave","score":0.5810554027557373},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5466637015342712},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.5388111472129822},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5336303114891052},{"id":"https://openalex.org/keywords/waves-and-shallow-water","display_name":"Waves and shallow water","score":0.4984273910522461},{"id":"https://openalex.org/keywords/phase-space","display_name":"Phase space","score":0.47931209206581116},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4533670246601105},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4324067234992981},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.43212586641311646},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3925856053829193},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2220887839794159},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10356742143630981},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.09921646118164062},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.07760345935821533},{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.06652852892875671}],"concepts":[{"id":"https://openalex.org/C155091195","wikidata":"https://www.wikidata.org/wiki/Q7157892","display_name":"Peakon","level":3,"score":0.9724874496459961},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6337746381759644},{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.5810554027557373},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5466637015342712},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5388111472129822},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5336303114891052},{"id":"https://openalex.org/C186348155","wikidata":"https://www.wikidata.org/wiki/Q7975538","display_name":"Waves and shallow water","level":2,"score":0.4984273910522461},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.47931209206581116},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4533670246601105},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4324067234992981},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.43212586641311646},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3925856053829193},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2220887839794159},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10356742143630981},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.09921646118164062},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.07760345935821533},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.06652852892875671},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127419500147","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127419500147","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":[{"display_name":"Clean water and sanitation","score":0.7599999904632568,"id":"https://metadata.un.org/sdg/6"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1979855427","https://openalex.org/W1994828676","https://openalex.org/W2008556889","https://openalex.org/W2009961065","https://openalex.org/W2019428672","https://openalex.org/W2020430873","https://openalex.org/W2026031976","https://openalex.org/W2032753438","https://openalex.org/W2082137733","https://openalex.org/W2287618041","https://openalex.org/W2552776555","https://openalex.org/W2574455865","https://openalex.org/W2606722229","https://openalex.org/W2776321568"],"related_works":["https://openalex.org/W2091234113","https://openalex.org/W2563733120","https://openalex.org/W2014637912","https://openalex.org/W3019927421","https://openalex.org/W2604526608","https://openalex.org/W2081531990","https://openalex.org/W1979245199","https://openalex.org/W3148171466","https://openalex.org/W2123509299","https://openalex.org/W1620903524"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,40],"dynamics":[4],"of":[5,42,51],"traveling":[6,24],"wave":[7,13,25,53,56],"solutions":[8,63,66],"to":[9],"a":[10,16,28],"shallow":[11],"water":[12],"model":[14],"with":[15,33],"large-amplitude":[17],"regime":[18],"in":[19],"phase":[20],"space.":[21],"The":[22,49],"corresponding":[23],"system":[26,32],"is":[27],"singular":[29,35],"planar":[30],"dynamical":[31,43],"two":[34],"straight":[36],"lines.":[37],"By":[38],"using":[39],"method":[41],"systems,":[44],"bifurcation":[45],"diagrams":[46],"are":[47,67],"obtained.":[48],"existence":[50],"solitary":[52],"solutions,":[54,57],"periodic":[55,61],"peakon,":[58],"pseudo-peakon":[59],"solution,":[60],"peakon":[62],"and":[64],"compacton":[65],"determined":[68],"under":[69],"different":[70],"parameter":[71],"conditions.":[72]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
