{"id":"https://openalex.org/W2803766254","doi":"https://doi.org/10.1142/s0217984918501762","title":"The gauge transformations of the constrainedq-deformed KP hierarchy","display_name":"The gauge transformations of the constrainedq-deformed KP hierarchy","publication_year":2018,"publication_date":"2018-05-21","ids":{"openalex":"https://openalex.org/W2803766254","doi":"https://doi.org/10.1142/s0217984918501762","mag":"2803766254"},"language":"en","primary_location":{"id":"doi:10.1142/s0217984918501762","doi":"https://doi.org/10.1142/s0217984918501762","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217984918501762","pdf_url":null,"source":{"id":"https://openalex.org/S88537382","display_name":"Modern Physics Letters B","issn_l":"0217-9849","issn":["0217-9849","1793-6640"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"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":"Modern Physics Letters B","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5037739424","display_name":"Lumin Geng","orcid":"https://orcid.org/0009-0006-7465-9280","observed_orcids":["https://orcid.org/0009-0006-7465-9280"]},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lumin Geng","raw_affiliation_strings":["School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065839695","display_name":"Huizhan Chen","orcid":"https://orcid.org/0000-0003-1679-1452","observed_orcids":["https://orcid.org/0000-0003-1679-1452"]},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huizhan Chen","raw_affiliation_strings":["School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Na Li","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Na Li","raw_affiliation_strings":["School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054029971","display_name":"Jipeng Cheng","orcid":"https://orcid.org/0000-0001-6248-0781","observed_orcids":["https://orcid.org/0000-0001-6248-0781"]},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jipeng Cheng","raw_affiliation_strings":["School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China"],"raw_orcid":"https://orcid.org/0000-0001-6248-0781","affiliations":[{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China","institution_ids":["https://openalex.org/I25757504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I25757504"],"apc_list":null,"apc_paid":null,"fwci":0.2279,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.39598407,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"32","issue":"16","first_page":"1850176","last_page":"1850176"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9897000193595886,"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":0.9897000193595886,"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":0.0066999997943639755,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.0005000000237487257,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/constrained-kp-hierarchy","display_name":"constrained KP hierarchy","score":0.8450000286102295},{"id":"https://openalex.org/keywords/gauge-transformations","display_name":"gauge transformations","score":0.9860000014305115},{"id":"https://openalex.org/keywords/lax-operator","display_name":"Lax operator","score":0.9139999747276306},{"id":"https://openalex.org/keywords/generating-functions","display_name":"generating functions","score":0.8190000057220459},{"id":"https://openalex.org/keywords/integrable-hierarchies","display_name":"integrable hierarchies","score":0.7279999852180481}],"concepts":[{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.7273116707801819},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.720528244972229},{"id":"https://openalex.org/C40976572","wikidata":"https://www.wikidata.org/wiki/Q2330873","display_name":"Gauge (firearms)","level":2,"score":0.6655186414718628},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5499748587608337},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.4747481942176819},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43976497650146484},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3946722745895386},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3885892629623413},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3847845792770386},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.32892465591430664},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0217984918501762","doi":"https://doi.org/10.1142/s0217984918501762","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217984918501762","pdf_url":null,"source":{"id":"https://openalex.org/S88537382","display_name":"Modern Physics Letters B","issn_l":"0217-9849","issn":["0217-9849","1793-6640"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"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":"Modern Physics Letters B","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4247710287","display_name":null,"funder_award_id":"2016M591949","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1633541815","https://openalex.org/W1635396330","https://openalex.org/W2003309852","https://openalex.org/W2015164084","https://openalex.org/W2031263652","https://openalex.org/W2046952727","https://openalex.org/W2071263296","https://openalex.org/W2084717757","https://openalex.org/W2086695140","https://openalex.org/W2101908957","https://openalex.org/W2110748201","https://openalex.org/W2149623737","https://openalex.org/W2316050158","https://openalex.org/W2518460264","https://openalex.org/W2531696821","https://openalex.org/W2564656085","https://openalex.org/W2755713673","https://openalex.org/W2789887195","https://openalex.org/W2793863570","https://openalex.org/W2964156268","https://openalex.org/W2996616929","https://openalex.org/W3098048128","https://openalex.org/W3102532197","https://openalex.org/W4240644230","https://openalex.org/W4252942392"],"related_works":["https://openalex.org/W3101134588","https://openalex.org/W2071263296","https://openalex.org/W2902978174","https://openalex.org/W2084717757","https://openalex.org/W2762102157","https://openalex.org/W2793863570","https://openalex.org/W3016744950","https://openalex.org/W1972771092","https://openalex.org/W4327946451","https://openalex.org/W3112293807"],"abstract_inverted_index":{"In":[0],"this":[1,54],"paper,":[2],"we":[3,21,88],"mainly":[4],"study":[5],"the":[6,10,18,25,29,33,39,42,50,56,80,83,90],"gauge":[7,51,63,105],"transformations":[8],"of":[9,32,41,58,93,95,101],"constrained":[11,34],"q-deformed":[12,35],"Kadomtsev\u2013Petviashvili":[13],"(q-KP)":[14],"hierarchy.":[15],"Different":[16],"from":[17,79],"usual":[19],"case,":[20],"have":[22],"to":[23],"consider":[24,89],"additional":[26],"constraints":[27,81],"on":[28],"Lax":[30,43,84],"operator":[31,44],"KP":[36],"hierarchy,":[37],"since":[38],"form":[40],"must":[45,73],"be":[46,74],"kept":[47],"when":[48],"constructing":[49],"transformations.":[52,106],"For":[53],"reason,":[55],"selections":[57],"generating":[59],"functions":[60],"in":[61,82],"elementary":[62],"transformation":[64],"operators":[65],"[Formula:":[66,70,96,102],"see":[67,71,97,103],"text]":[68,72,98,104],"and":[69,99],"very":[75],"special,":[76],"which":[77],"are":[78],"operator.":[85],"At":[86],"last,":[87],"successive":[91],"applications":[92],"n-step":[94],"k-step":[100]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2018-06-01T00:00:00"}