{"id":"https://openalex.org/W3016540409","doi":null,"title":"Two generalized (2+1)-dimensional hierarchies and Darboux transformations","display_name":"Two generalized (2+1)-dimensional hierarchies and Darboux transformations","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W3016540409","mag":"3016540409"},"language":"en","primary_location":{"id":"mag:3016540409","doi":null,"is_oa":false,"landing_page_url":"https://www.longdom.org/articles/two-generalized-21dimensional-hierarchies-and-darboux-transformations.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306519339","display_name":"Mathematica Eterna","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Mathematica Eterna","raw_type":null},"parent_works":[],"lineage":["https://openalex.org/W3016540409"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":[],"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/A5111633062","display_name":"Baiying He","orcid":"https://orcid.org/0000-0002-5397-1009","observed_orcids":["https://orcid.org/0000-0002-5397-1009"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Baiying He","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5035135171","display_name":"Lili Ma","orcid":"https://orcid.org/0000-0001-6182-7755","observed_orcids":["https://orcid.org/0000-0001-6182-7755"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lili Ma","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-6182-7755","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":"4","first_page":"623","last_page":"629"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9994999766349792,"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":0.9994999766349792,"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/T11673","display_name":"Advanced Topics in Algebra","score":9.999999747378752e-05,"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"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.0,"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/darboux-transformation","display_name":"Darboux transformation","score":0.8510000109672546},{"id":"https://openalex.org/keywords/hamiltonian-formulation","display_name":"Hamiltonian formulation","score":0.859000027179718}],"concepts":[{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.8968009948730469},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6118026375770569},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5712717175483704},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5348837375640869},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.520588219165802},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5153257250785828},{"id":"https://openalex.org/C133389509","wikidata":"https://www.wikidata.org/wiki/Q2294564","display_name":"Darboux integral","level":3,"score":0.5110076665878296},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5066702961921692},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18991604447364807},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18657812476158142},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10838621854782104},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.07246899604797363},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.046819716691970825},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.041972607374191284},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:3016540409","doi":null,"is_oa":false,"landing_page_url":"https://www.longdom.org/articles/two-generalized-21dimensional-hierarchies-and-darboux-transformations.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306519339","display_name":"Mathematica Eterna","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Mathematica Eterna","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2048799307","https://openalex.org/W839779021","https://openalex.org/W2083089044","https://openalex.org/W2063119917","https://openalex.org/W3049602198","https://openalex.org/W2150330875","https://openalex.org/W2031263652","https://openalex.org/W2203383679","https://openalex.org/W2995791172","https://openalex.org/W2040248314"],"abstract_inverted_index":{"Based":[0],"on":[1],"the":[2,7,14,31,35],"TAH":[3],"scheme,":[4],"we":[5,20,28],"construct":[6],"generalized":[8,15,36],"(2+1)-":[9],"dimensional":[10],"S-mKdv":[11],"hierarchy":[12],"and":[13,19],"(2+1)-dimensional":[16,37],"Levi":[17,38],"hierarchy,":[18],"also":[21,29],"generate":[22],"their":[23],"Hamiltonian":[24],"structures.":[25],"At":[26],"last,":[27],"obtain":[30],"Darboux":[32],"transformations":[33],"of":[34],"hierarchy.":[39]},"counts_by_year":[],"updated_date":"2026-09-21T07:43:02.447757","created_date":"2020-04-24T00:00:00"}