{"id":"https://openalex.org/W4404202401","doi":"https://doi.org/10.1016/j.aml.2024.109363","title":"State transitions for the rational solutions of Kundu equation with non-zero boundary conditions","display_name":"State transitions for the rational solutions of Kundu equation with non-zero boundary conditions","publication_year":2024,"publication_date":"2024-11-09","ids":{"openalex":"https://openalex.org/W4404202401","doi":"https://doi.org/10.1016/j.aml.2024.109363"},"language":"en","primary_location":{"id":"doi:10.1016/j.aml.2024.109363","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.aml.2024.109363","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.aml.2024.109363","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109705014","display_name":"Deqin Qiu","orcid":null},"institutions":[{"id":"https://openalex.org/I93477617","display_name":"Huizhou University","ror":"https://ror.org/03q3s7962","country_code":"CN","type":"education","lineage":["https://openalex.org/I93477617"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Deqin Qiu","raw_affiliation_strings":["School of Mathematics and Statistics, Huizhou University, Huizhou, Guangdong Province, PR China"],"raw_orcid":"https://orcid.org/0009-0007-8662-3709","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Huizhou University, Huizhou, Guangdong Province, PR China","institution_ids":["https://openalex.org/I93477617"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087302583","display_name":"Yongshuai Zhang","orcid":"https://orcid.org/0000-0001-8165-2446"},"institutions":[{"id":"https://openalex.org/I192209268","display_name":"Shaoxing University","ror":"https://ror.org/0435tej63","country_code":"CN","type":"education","lineage":["https://openalex.org/I192209268"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongshuai Zhang","raw_affiliation_strings":["Department of Mathematics, Shaoxing University, Shaoxing, Zhejiang Province, PR China"],"raw_orcid":"https://orcid.org/0000-0001-8165-2446","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shaoxing University, Shaoxing, Zhejiang Province, PR China","institution_ids":["https://openalex.org/I192209268"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014879412","display_name":"Wei Liu","orcid":"https://orcid.org/0000-0002-8149-713X"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]},{"id":"https://openalex.org/I18452120","display_name":"Yantai University","ror":"https://ror.org/01rp41m56","country_code":"CN","type":"education","lineage":["https://openalex.org/I18452120"]},{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]},{"id":"https://openalex.org/I83776822","display_name":"Shandong Institute of Business and Technology","ror":"https://ror.org/03rrkrc24","country_code":"CN","type":"education","lineage":["https://openalex.org/I83776822"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wei Liu","raw_affiliation_strings":["College of Mathematic and Information Science, Shandong Technology and Business University, Shandong Province, PR China","Yantai Key Laboratory of Big Data Modeling and Intelligent Computing, Yantai, Shandong Province, PR China"],"raw_orcid":"https://orcid.org/0000-0002-8149-713X","affiliations":[{"raw_affiliation_string":"College of Mathematic and Information Science, Shandong Technology and Business University, Shandong Province, PR China","institution_ids":["https://openalex.org/I80143920","https://openalex.org/I154099455","https://openalex.org/I83776822"]},{"raw_affiliation_string":"Yantai Key Laboratory of Big Data Modeling and Intelligent Computing, Yantai, Shandong Province, PR China","institution_ids":["https://openalex.org/I18452120"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014879412"],"corresponding_institution_ids":["https://openalex.org/I154099455","https://openalex.org/I18452120","https://openalex.org/I80143920","https://openalex.org/I83776822"],"apc_list":{"value":3540,"currency":"USD","value_usd":3540},"apc_paid":{"value":3540,"currency":"USD","value_usd":3540},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18324797,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"161","issue":null,"first_page":"109363","last_page":"109363"},"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9976000189781189,"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9930999875068665,"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/mathematics","display_name":"Mathematics","score":0.9145395755767822},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.7726418972015381},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5442190766334534},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47847887873649597},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.45708656311035156},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4452306032180786},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.062145352363586426}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9145395755767822},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.7726418972015381},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5442190766334534},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47847887873649597},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.45708656311035156},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4452306032180786},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.062145352363586426},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.aml.2024.109363","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.aml.2024.109363","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.aml.2024.109363","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.aml.2024.109363","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Climate action","score":0.49000000953674316,"id":"https://metadata.un.org/sdg/13"}],"awards":[{"id":"https://openalex.org/G6975010773","display_name":null,"funder_award_id":"12301308","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1537517772","https://openalex.org/W1965226522","https://openalex.org/W1975644656","https://openalex.org/W1985753596","https://openalex.org/W1999893833","https://openalex.org/W2001222734","https://openalex.org/W2016037919","https://openalex.org/W2044329683","https://openalex.org/W2048900358","https://openalex.org/W2066935708","https://openalex.org/W2068687201","https://openalex.org/W2068998883","https://openalex.org/W2071032629","https://openalex.org/W2076212741","https://openalex.org/W2081136723","https://openalex.org/W2115075045","https://openalex.org/W2411990655","https://openalex.org/W2423354537","https://openalex.org/W2769640776","https://openalex.org/W2776220888","https://openalex.org/W2963164660","https://openalex.org/W2995821559","https://openalex.org/W3042686976","https://openalex.org/W3102263922","https://openalex.org/W3107145946","https://openalex.org/W3121418515","https://openalex.org/W3121568126","https://openalex.org/W3215814226","https://openalex.org/W4310803239","https://openalex.org/W4386161501","https://openalex.org/W4403403389"],"related_works":["https://openalex.org/W3013650182","https://openalex.org/W2989283631","https://openalex.org/W4249605382","https://openalex.org/W4313491656","https://openalex.org/W3279617","https://openalex.org/W4402958497","https://openalex.org/W1991183963","https://openalex.org/W2053087750","https://openalex.org/W2146390824","https://openalex.org/W4220826729"],"abstract_inverted_index":{"Several":[0],"novel":[1],"rational":[2,41,50,105],"solutions":[3,42,51,106],"with":[4,52,72,107],"nonzero":[5,53,108],"boundary":[6,54,109],"condition":[7],"for":[8,43,92,99],"the":[9,21,29,44,48,73,83],"Kundu":[10,45,84],"equation,":[11,85],"which":[12,69],"is":[13,28],"an":[14],"important":[15],"physical":[16],"model,":[17],"are":[18,70],"derived":[19],"using":[20],"technique":[22],"of":[23,75],"generalized":[24],"Darboux":[25],"transformation.":[26],"It":[27],"first":[30],"time":[31],"that":[32,59],"a":[33,62],"systemic":[34],"analysis":[35],"has":[36],"been":[37],"conducted":[38],"on":[39],"such":[40],"equation.":[46],"For":[47],"1-order":[49],"conditions,":[55],"our":[56],"findings":[57],"reveal":[58],"three":[60],"parameters,":[61],",":[63,65,68],"b":[64],"and":[66,79,95],"\u03b2":[67],"associated":[71],"effects":[74],"self-steepening,":[76],"self-phase":[77],"modulation,":[78],"quintic":[80],"nonlinearity":[81],"in":[82,88],"can":[86],"result":[87],"four":[89],"distinct":[90,97],"states":[91,98],"case":[93,100],"B":[94],"five":[96],"C,":[101],"all":[102],"corresponding":[103],"to":[104],"conditions.":[110]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}