{"id":"https://openalex.org/W7225124205","doi":"https://doi.org/10.1007/s44198-026-00479-6","title":"Exact Soliton, Breather and Hybrid Interaction Solutions for a Generalized Fifth-Order Korteweg-de Vries Equation","display_name":"Exact Soliton, Breather and Hybrid Interaction Solutions for a Generalized Fifth-Order Korteweg-de Vries Equation","publication_year":2026,"publication_date":"2026-11-02","ids":{"openalex":"https://openalex.org/W7225124205","doi":"https://doi.org/10.1007/s44198-026-00479-6"},"language":"en","primary_location":{"id":"doi:10.1007/s44198-026-00479-6","doi":"https://doi.org/10.1007/s44198-026-00479-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s44198-026-00479-6","pdf_url":null,"source":{"id":"https://openalex.org/S113416816","display_name":"Journal of Nonlinear Mathematical Physics","issn_l":"1402-9251","issn":["1402-9251","1776-0852"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"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 Nonlinear Mathematical Physics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/s44198-026-00479-6","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083046426","display_name":"Deniu Yang","orcid":"https://orcid.org/0000-0002-3724-2172","observed_orcids":["https://orcid.org/0000-0002-3724-2172"]},"institutions":[{"id":"https://openalex.org/I4403928342","display_name":"South China Business College Guangdong University of Foreign Studies","ror":"https://ror.org/03adm0793","country_code":"CN","type":"education","lineage":["https://openalex.org/I186272606","https://openalex.org/I4403928342"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Deniu Yang","raw_affiliation_strings":["School of Computer Science, Guangdong University of Foreign Studies South China Business College, Guangzhou, 510545, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Guangdong University of Foreign Studies South China Business College, Guangzhou, 510545, China","institution_ids":["https://openalex.org/I4403928342"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017256296","display_name":"Sibi Ma","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210110849","display_name":"Sichuan Tourism University","ror":"https://ror.org/018rwb805","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210110849"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sibi Ma","raw_affiliation_strings":["College of Big Data and Statistics, Sichuan Tourism University, Chengdu, 610100, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Big Data and Statistics, Sichuan Tourism University, Chengdu, 610100, China","institution_ids":["https://openalex.org/I4210110849"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5160353779","display_name":"Gang Chen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4405279925","display_name":"Nanchang Normal College of Applied Technology","ror":"https://ror.org/026bypt45","country_code":"CN","type":"education","lineage":["https://openalex.org/I4405279925"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Gang Chen","raw_affiliation_strings":["Nanchang Normal College of Applied Technology, Nanchang, 330000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanchang Normal College of Applied Technology, Nanchang, 330000, China","institution_ids":["https://openalex.org/I4405279925"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5160353779"],"corresponding_institution_ids":["https://openalex.org/I4405279925"],"apc_list":{"value":1490,"currency":"USD","value_usd":1490},"apc_paid":{"value":1490,"currency":"USD","value_usd":1490},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.84089247,"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":9.999999747378752e-05,"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":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fifth-order-korteweg-de-vries-equation","display_name":"fifth-order Korteweg-de Vries equation","score":0.9169999957084656},{"id":"https://openalex.org/keywords/exact-soliton-solutions","display_name":"exact soliton solutions","score":0.7450000047683716},{"id":"https://openalex.org/keywords/breather-solutions","display_name":"breather solutions","score":0.8799999952316284},{"id":"https://openalex.org/keywords/hirota-bilinear-method","display_name":"Hirota bilinear method","score":0.7549999952316284},{"id":"https://openalex.org/keywords/multi-soliton-solutions","display_name":"N-soliton solutions","score":0.7879999876022339},{"id":"https://openalex.org/keywords/quadratic-cubic-nonlinearity","display_name":"quadratic-cubic nonlinearity","score":0.7599999904632568},{"id":"https://openalex.org/keywords/elastic-soliton-collisions","display_name":"elastic soliton collisions","score":0.8569999933242798},{"id":"https://openalex.org/keywords/plasma-waves","display_name":"plasma waves","score":0.7319999933242798}],"concepts":[{"id":"https://openalex.org/C146630112","wikidata":"https://www.wikidata.org/wiki/Q601796","display_name":"Korteweg\u2013de Vries equation","level":3,"score":0.8227999806404114},{"id":"https://openalex.org/C74455749","wikidata":"https://www.wikidata.org/wiki/Q5254599","display_name":"Breather","level":3,"score":0.8163999915122986},{"id":"https://openalex.org/C189201455","wikidata":"https://www.wikidata.org/wiki/Q110360","display_name":"Rogue wave","level":3,"score":0.5917999744415283},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5823000073432922},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.5677000284194946},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5670999884605408},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.49869999289512634},{"id":"https://openalex.org/C177562468","wikidata":"https://www.wikidata.org/wiki/Q182893","display_name":"Dispersion (optics)","level":2,"score":0.47110000252723694},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.450300008058548},{"id":"https://openalex.org/C8828549","wikidata":"https://www.wikidata.org/wiki/Q837924","display_name":"Bilinear form","level":2,"score":0.44940000772476196},{"id":"https://openalex.org/C172829509","wikidata":"https://www.wikidata.org/wiki/Q4115796","display_name":"Lax pair","level":3,"score":0.4284000098705292},{"id":"https://openalex.org/C159785203","wikidata":"https://www.wikidata.org/wiki/Q6345653","display_name":"Kadomtsev\u2013Petviashvili equation","level":4,"score":0.40549999475479126},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.3950999975204468},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.3723999857902527},{"id":"https://openalex.org/C202579712","wikidata":"https://www.wikidata.org/wiki/Q590051","display_name":"Dispersion relation","level":2,"score":0.3328999876976013},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.3294000029563904},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3246000111103058},{"id":"https://openalex.org/C35797730","wikidata":"https://www.wikidata.org/wiki/Q1929527","display_name":"Wave model","level":2,"score":0.3197000026702881},{"id":"https://openalex.org/C154485487","wikidata":"https://www.wikidata.org/wiki/Q815666","display_name":"Bell polynomials","level":2,"score":0.31839999556541443},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.30379998683929443},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2996000051498413},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.29499998688697815},{"id":"https://openalex.org/C108779253","wikidata":"https://www.wikidata.org/wiki/Q5282591","display_name":"Dispersive partial differential equation","level":3,"score":0.29330000281333923},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.2913999855518341},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.290800005197525},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.28360000252723694},{"id":"https://openalex.org/C4188701","wikidata":"https://www.wikidata.org/wiki/Q5282585","display_name":"Dispersionless equation","level":5,"score":0.2752000093460083},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.25870001316070557},{"id":"https://openalex.org/C72422203","wikidata":"https://www.wikidata.org/wiki/Q7392545","display_name":"SPHERES","level":2,"score":0.2551000118255615}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s44198-026-00479-6","doi":"https://doi.org/10.1007/s44198-026-00479-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s44198-026-00479-6","pdf_url":null,"source":{"id":"https://openalex.org/S113416816","display_name":"Journal of Nonlinear Mathematical Physics","issn_l":"1402-9251","issn":["1402-9251","1776-0852"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"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 Nonlinear Mathematical Physics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s44198-026-00479-6","doi":"https://doi.org/10.1007/s44198-026-00479-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s44198-026-00479-6","pdf_url":null,"source":{"id":"https://openalex.org/S113416816","display_name":"Journal of Nonlinear Mathematical Physics","issn_l":"1402-9251","issn":["1402-9251","1776-0852"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"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 Nonlinear Mathematical Physics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322665","display_name":"Natural Science Foundation of Jiangxi Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2973631513","https://openalex.org/W3150734342","https://openalex.org/W3003711757","https://openalex.org/W1997800788","https://openalex.org/W3125952265","https://openalex.org/W4322774718","https://openalex.org/W4402658827","https://openalex.org/W4309230957","https://openalex.org/W4311519026","https://openalex.org/W2067053669"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"study":[2],"a":[3],"generalized":[4],"fifth-order":[5],"KdV":[6,33],"equation":[7,45],"with":[8,56,75],"quadratic/cubic":[9],"nonlinearities":[10],"and":[11,27,50,60,72,111,119],"coupled":[12,121],"third-fifth-order":[13],"dispersion":[14],"terms,":[15],"capable":[16],"of":[17,83,100],"modeling":[18],"strongly":[19],"nonlinear":[20,137],"waves":[21],"in":[22],"stratified":[23],"shallow":[24],"water,":[25],"plasmas":[26],"optical":[28],"fibers":[29],"beyond":[30],"the":[31,36,101],"classical":[32],"regime.":[34],"Using":[35],"Hirota":[37],"bilinear":[38,44],"method,":[39],"we":[40],"derive":[41],"its":[42],"exact":[43,102],"under":[46],"strict":[47],"coefficient":[48],"constraints":[49],"construct":[51],"unified":[52],"analytical":[53,103,125],"N-soliton":[54],"expressions":[55],"explicit":[57],"1-,":[58],"2-":[59],"3-soliton":[61],"examples.":[62],"Complex":[63],"conjugate":[64],"wave":[65,122],"pairs":[66],"are":[67,88],"adopted":[68],"to":[69],"generate":[70],"single":[71],"double":[73],"breathers":[74],"tunable":[76],"spatiotemporal":[77],"oscillation":[78],"periods.":[79],"Two":[80],"novel":[81],"families":[82],"soliton-breather":[84],"hybrid":[85],"interaction":[86],"solutions":[87,104],"constructed,":[89],"which":[90],"have":[91],"seldom":[92],"been":[93],"reported":[94],"for":[95,131],"high-order":[96,135],"KdV-type":[97],"models.":[98],"Visualizations":[99],"via":[105],"2D":[106],"cross-sections,":[107],"3D":[108],"evolution":[109,138],"surfaces":[110],"density":[112],"contours":[113],"illustrate":[114],"elastic":[115],"collisions,":[116],"periodic":[117],"oscillations":[118],"intricate":[120],"dynamics.":[123],"The":[124],"results":[126],"provide":[127],"rigorous":[128],"theoretical":[129],"foundations":[130],"subsequent":[132],"research":[133],"on":[134],"dispersive":[136],"equations.":[139]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2026-11-03T00:00:00"}