{"id":"https://openalex.org/W4404756894","doi":"https://doi.org/10.3390/axioms13120830","title":"A Few Kinds of Loop Algebras and Some Applications","display_name":"A Few Kinds of Loop Algebras and Some Applications","publication_year":2024,"publication_date":"2024-11-27","ids":{"openalex":"https://openalex.org/W4404756894","doi":"https://doi.org/10.3390/axioms13120830"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13120830","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13120830","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/axioms13120830","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102203040","display_name":"Yanmei Sun","orcid":"https://orcid.org/0000-0002-1339-4999"},"institutions":[{"id":"https://openalex.org/I66883779","display_name":"Weifang University","ror":"https://ror.org/01frp7483","country_code":"CN","type":"education","lineage":["https://openalex.org/I66883779"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yanmei Sun","raw_affiliation_strings":["School of Mathematics and Statistics, Weifang University, Weifang 261061, China"],"raw_orcid":"https://orcid.org/0000-0002-1339-4999","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Weifang University, Weifang 261061, China","institution_ids":["https://openalex.org/I66883779"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086001860","display_name":"Weiwei Zhang","orcid":"https://orcid.org/0000-0002-1800-6318"},"institutions":[{"id":"https://openalex.org/I66883779","display_name":"Weifang University","ror":"https://ror.org/01frp7483","country_code":"CN","type":"education","lineage":["https://openalex.org/I66883779"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weiwei Zhang","raw_affiliation_strings":["School of Mathematics and Statistics, Weifang University, Weifang 261061, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Weifang University, Weifang 261061, China","institution_ids":["https://openalex.org/I66883779"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077166130","display_name":"Nina Xue","orcid":"https://orcid.org/0000-0001-9316-030X"},"institutions":[{"id":"https://openalex.org/I66883779","display_name":"Weifang University","ror":"https://ror.org/01frp7483","country_code":"CN","type":"education","lineage":["https://openalex.org/I66883779"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Nina Xue","raw_affiliation_strings":["School of Mathematics and Statistics, Weifang University, Weifang 261061, China"],"raw_orcid":"https://orcid.org/0000-0001-9316-030X","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Weifang University, Weifang 261061, China","institution_ids":["https://openalex.org/I66883779"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100459702","display_name":"Yufeng Zhang","orcid":null},"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":"Yufeng Zhang","raw_affiliation_strings":["School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China","institution_ids":["https://openalex.org/I25757504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102203040"],"corresponding_institution_ids":["https://openalex.org/I66883779"],"apc_list":{"value":2400,"currency":"CHF","value_usd":2896},"apc_paid":{"value":2400,"currency":"CHF","value_usd":2896},"fwci":0.2324,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66246718,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"13","issue":"12","first_page":"830","last_page":"830"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9768999814987183,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9768999814987183,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9743000268936157,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9732000231742859,"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/loop","display_name":"Loop (graph theory)","score":0.6126517057418823},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4554848074913025},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41626426577568054},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35633817315101624},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.307167649269104},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14168718457221985}],"concepts":[{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.6126517057418823},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4554848074913025},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41626426577568054},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35633817315101624},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.307167649269104},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14168718457221985}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms13120830","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13120830","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:d4117ae3486e425b8fb6ef74b1dfdebf","is_oa":true,"landing_page_url":"https://doaj.org/article/d4117ae3486e425b8fb6ef74b1dfdebf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 13, Iss 12, p 830 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13120830","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13120830","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W83763115","https://openalex.org/W293984938","https://openalex.org/W1500015484","https://openalex.org/W1972165339","https://openalex.org/W1982316290","https://openalex.org/W2000079624","https://openalex.org/W2005457825","https://openalex.org/W2012271887","https://openalex.org/W2013673280","https://openalex.org/W2014228145","https://openalex.org/W2023379165","https://openalex.org/W2058091840","https://openalex.org/W2105115183","https://openalex.org/W2105393641","https://openalex.org/W2118575947","https://openalex.org/W2395378663","https://openalex.org/W2737706071","https://openalex.org/W2760165836","https://openalex.org/W2789735701","https://openalex.org/W2985063108","https://openalex.org/W3016693509","https://openalex.org/W3083250665","https://openalex.org/W3101791400","https://openalex.org/W3103687453","https://openalex.org/W4211036616","https://openalex.org/W4292170110"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"In":[0,62],"this":[1],"paper,":[2],"we":[3],"search":[4],"for":[5,8],"some":[6,64],"approaches":[7],"generating":[9],"(1+1)-dimensional,":[10],"(2+1)-dimensional":[11,49],"and":[12,23,54,69,81],"(3+1)-dimensional":[13,56],"integrable":[14,67,72,96],"equations":[15],"by":[16],"making":[17],"use":[18],"of":[19,31,98],"various":[20],"Lie":[21,79],"algebras":[22,27,80,84],"the":[24,29,32,40,44,48,55,78,87],"corresponding":[25],"loop":[26,83],"under":[28],"frame":[30],"Tu":[33],"scheme.":[34],"The":[35],"well-known":[36],"modified":[37],"KdV":[38],"equation,":[39,43,47],"heat":[41],"conduction":[42],"nonlinear":[45],"Schr\u00f6dinger":[46],"cylindrical":[50],"dissipative":[51],"Zaboloskaya\u2013Khokhlov":[52],"equation":[53,58],"heavenly":[57],"are":[59,74],"obtained,":[60],"respectively.":[61],"addition,":[63],"new":[65],"isospectral":[66],"hierarchies":[68,73,97],"their":[70,82],"nonisospectral":[71],"singled":[75],"out.":[76],"All":[77],"presented":[85],"in":[86],"paper":[88],"can":[89],"be":[90],"extensively":[91],"applied":[92],"to":[93],"investigate":[94],"other":[95],"evolution":[99],"equations.":[100]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}