{"id":"https://openalex.org/W3014509752","doi":"https://doi.org/10.1142/s0218127420500364","title":"Completing the Study of Traveling Wave Solutions for Three Two-Component Shallow Water Wave Models","display_name":"Completing the Study of Traveling Wave Solutions for Three Two-Component Shallow Water Wave Models","publication_year":2020,"publication_date":"2020-03-15","ids":{"openalex":"https://openalex.org/W3014509752","doi":"https://doi.org/10.1142/s0218127420500364","mag":"3014509752"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127420500364","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420500364","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 Science, 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 Science, Huaqiao University, Quanzhou, Fujian 362021, P. R. China","institution_ids":["https://openalex.org/I119045251"]}]},{"author_position":"middle","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 Electrical Engineering, City University of Hong Kong, Hong Kong SAR, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, City University of Hong Kong, Hong Kong SAR, P. R. China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014101119","display_name":"Jie Song","orcid":"https://orcid.org/0000-0002-2243-3902"},"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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Song","raw_affiliation_strings":["School of Mathematical Science, Huaqiao University, Quanzhou, Fujian 362021, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Huaqiao University, Quanzhou, Fujian 362021, P. R. China","institution_ids":["https://openalex.org/I119045251"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"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":0.6638,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.66366197,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"30","issue":"03","first_page":"2050036","last_page":"2050036"},"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9926999807357788,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.980400025844574,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/peakon","display_name":"Peakon","score":0.9338985681533813},{"id":"https://openalex.org/keywords/periodic-wave","display_name":"Periodic wave","score":0.6351704597473145},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.6263241767883301},{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.6236605048179626},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6220641136169434},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.545522153377533},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5282258987426758},{"id":"https://openalex.org/keywords/traveling-wave","display_name":"Traveling wave","score":0.5221512913703918},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4855489432811737},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48319685459136963},{"id":"https://openalex.org/keywords/wave-model","display_name":"Wave model","score":0.44127678871154785},{"id":"https://openalex.org/keywords/waves-and-shallow-water","display_name":"Waves and shallow water","score":0.41531285643577576},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.35784053802490234},{"id":"https://openalex.org/keywords/meteorology","display_name":"Meteorology","score":0.1111595630645752},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09541985392570496},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.07448804378509521}],"concepts":[{"id":"https://openalex.org/C155091195","wikidata":"https://www.wikidata.org/wiki/Q7157892","display_name":"Peakon","level":3,"score":0.9338985681533813},{"id":"https://openalex.org/C2993172089","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Periodic wave","level":3,"score":0.6351704597473145},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.6263241767883301},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.6236605048179626},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6220641136169434},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.545522153377533},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5282258987426758},{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.5221512913703918},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4855489432811737},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48319685459136963},{"id":"https://openalex.org/C35797730","wikidata":"https://www.wikidata.org/wiki/Q1929527","display_name":"Wave model","level":2,"score":0.44127678871154785},{"id":"https://openalex.org/C186348155","wikidata":"https://www.wikidata.org/wiki/Q7975538","display_name":"Waves and shallow water","level":2,"score":0.41531285643577576},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.35784053802490234},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.1111595630645752},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09541985392570496},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.07448804378509521},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127420500364","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420500364","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":[{"score":0.800000011920929,"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1887903210","https://openalex.org/W1974313981","https://openalex.org/W1994828676","https://openalex.org/W1998646770","https://openalex.org/W2026031976","https://openalex.org/W2027877464","https://openalex.org/W2041891623","https://openalex.org/W2047072153","https://openalex.org/W2065465605","https://openalex.org/W2108202098","https://openalex.org/W2141317782","https://openalex.org/W2321785395","https://openalex.org/W2552776555","https://openalex.org/W2964209421","https://openalex.org/W4245261017","https://openalex.org/W4289981527"],"related_works":["https://openalex.org/W19814871","https://openalex.org/W11397381","https://openalex.org/W25334779","https://openalex.org/W3025214","https://openalex.org/W8406595","https://openalex.org/W7479892","https://openalex.org/W1352446","https://openalex.org/W8624865","https://openalex.org/W488383","https://openalex.org/W25844229"],"abstract_inverted_index":{"For":[0],"three":[1],"two-component":[2,65],"shallow":[3],"water":[4],"wave":[5,17,34,44,79,86,94,104],"models,":[6],"from":[7],"the":[8,14,63,68],"approach":[9],"of":[10,67,84,99],"dynamical":[11],"systems":[12],"and":[13,115],"singular":[15],"traveling":[16],"theory":[18],"developed":[19],"in":[20],"[Li":[21],"&":[22],"Chen,":[23],"2007],":[24],"under":[25],"different":[26],"parameter":[27],"conditions,":[28],"all":[29],"possible":[30],"bounded":[31],"solutions":[32],"(solitary":[33],"solutions,":[35],"pseudo-peakons,":[36],"periodic":[37,43],"peakons,":[38],"as":[39,41],"well":[40],"smooth":[42],"solutions)":[45],"are":[46,55],"derived.":[47],"More":[48],"than":[49],"19":[50],"explicit":[51],"exact":[52],"parametric":[53],"representations":[54],"obtained.":[56],"Of":[57],"more":[58],"interest":[59],"is":[60,72],"that,":[61],"for":[62],"integrable":[64],"generalization":[66],"Camassa\u2013Holm":[69],"equation,":[70],"it":[71],"found":[73],"that":[74],"its":[75,90],"[Formula:":[76,91],"see":[77,92],"text]-traveling":[78,93],"system":[80,95],"has":[81,96],"a":[82,110],"family":[83],"pseudo-peakon":[85],"solutions.":[87,105],"In":[88],"addition,":[89],"two":[97],"families":[98],"uncountably":[100],"infinitely":[101],"many":[102],"solitary":[103],"The":[106],"new":[107],"results":[108],"complete":[109],"recent":[111],"study":[112],"by":[113],"Dutykh":[114],"Ionescu-Kruse":[116],"[2016].":[117]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}