{"id":"https://openalex.org/W2048946590","doi":"https://doi.org/10.1155/2012/163689","title":"Potential Symmetry Studies on a Rotating Fluid System","display_name":"Potential Symmetry Studies on a Rotating Fluid System","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2048946590","doi":"https://doi.org/10.1155/2012/163689","mag":"2048946590"},"language":"en","primary_location":{"id":"doi:10.1155/2012/163689","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/163689","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/163689.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2012/163689.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078081085","display_name":"Sen\u2010Yue Lou","orcid":"https://orcid.org/0000-0002-9208-3450"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]},{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"S. Y. Lou","raw_affiliation_strings":["Department of Physics, Ningbo University, Ningbo 315211, China","Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, China","School of Mathematics, Fudan University, Shanghai 200433, China"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Ningbo University, Ningbo 315211, China","institution_ids":["https://openalex.org/I109935558"]},{"raw_affiliation_string":"Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"School of Mathematics, Fudan University, Shanghai 200433, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030959754","display_name":"Man Jia","orcid":"https://orcid.org/0000-0002-0766-2408"},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Man Jia","raw_affiliation_strings":["Department of Physics, Ningbo University, Ningbo 315211, China"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Ningbo University, Ningbo 315211, China","institution_ids":["https://openalex.org/I109935558"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019815062","display_name":"Fei Huang","orcid":"https://orcid.org/0000-0002-1119-9081"},"institutions":[{"id":"https://openalex.org/I59028903","display_name":"Ocean University of China","ror":"https://ror.org/04rdtx186","country_code":"CN","type":"education","lineage":["https://openalex.org/I59028903"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"F. Huang","raw_affiliation_strings":["Physical Oceanography Laboratory, Ocean University of China, Qingdao 266003, China"],"affiliations":[{"raw_affiliation_string":"Physical Oceanography Laboratory, Ocean University of China, Qingdao 266003, China","institution_ids":["https://openalex.org/I59028903"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025561951","display_name":"Xiaoyan Tang","orcid":"https://orcid.org/0000-0002-0759-0387"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"X. Y. Tang","raw_affiliation_strings":["Department of Physics, Ningbo University, Ningbo 315211, China","Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, China"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Ningbo University, Ningbo 315211, China","institution_ids":["https://openalex.org/I109935558"]},{"raw_affiliation_string":"Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5078081085"],"corresponding_institution_ids":["https://openalex.org/I109935558","https://openalex.org/I183067930","https://openalex.org/I24943067"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.1105875,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2012","issue":null,"first_page":"1","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9995999932289124,"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":0.9995999932289124,"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/T10029","display_name":"Climate variability and models","score":0.9707000255584717,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11483","display_name":"Tropical and Extratropical Cyclones Research","score":0.9616000056266785,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.5329117774963379},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.49707797169685364},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4951535761356354},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.45092979073524475},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3722156882286072},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31699109077453613},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2899388074874878}],"concepts":[{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.5329117774963379},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.49707797169685364},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4951535761356354},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.45092979073524475},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3722156882286072},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31699109077453613},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2899388074874878}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2012/163689","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/163689","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/163689.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:163689","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2012/163689.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:cf7bea5b4cb348cbb64c90ba53a34b85","is_oa":true,"landing_page_url":"https://doaj.org/article/cf7bea5b4cb348cbb64c90ba53a34b85","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/163689","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/163689","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/163689.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8600000143051147,"id":"https://metadata.un.org/sdg/14","display_name":"Life below water"}],"awards":[{"id":"https://openalex.org/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1830849682","display_name":null,"funder_award_id":"30500","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3414426166","display_name":null,"funder_award_id":"2007CB814800","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4394657209","display_name":null,"funder_award_id":"40305009","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4536074772","display_name":null,"funder_award_id":"10905038","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5848258319","display_name":null,"funder_award_id":"0 and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7352153061","display_name":null,"funder_award_id":"11175092","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8096737105","display_name":null,"funder_award_id":"2007CB814800","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8285422476","display_name":null,"funder_award_id":"10735030","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"},{"id":"https://openalex.org/F4320322605","display_name":"Ningbo University","ror":"https://ror.org/03et85d35"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320336024","display_name":"Specialized Research Fund for the Doctoral Program of Higher Education of China","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2048946590.pdf","grobid_xml":"https://content.openalex.org/works/W2048946590.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1965512532","https://openalex.org/W1984519208","https://openalex.org/W2010408289","https://openalex.org/W2012998435","https://openalex.org/W2023443093","https://openalex.org/W2028078772","https://openalex.org/W2033047171","https://openalex.org/W2038443410","https://openalex.org/W2087982431","https://openalex.org/W2093766495","https://openalex.org/W2119146073","https://openalex.org/W2327570786","https://openalex.org/W2761675495","https://openalex.org/W2995084002","https://openalex.org/W3100993270","https://openalex.org/W3102311922","https://openalex.org/W3105277292","https://openalex.org/W4292170110"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W3084789002","https://openalex.org/W1566328901","https://openalex.org/W2392521623","https://openalex.org/W2263923500","https://openalex.org/W2770089535","https://openalex.org/W2018057413"],"abstract_inverted_index":{"A":[0],"rotational":[1],"fluid":[2],"model":[3],"which":[4],"can":[5,76],"be":[6,77],"used":[7,64,78],"to":[8,17,65,79],"describe":[9,81],"broad":[10],"vortical":[11],"flows":[12],"ranging":[13],"from":[14],"large":[15],"scale":[16],"the":[18,22,28,45,49,82],"atmospheric":[19],"mesoscale":[20],"and":[21,38],"oceanic":[23],"submesoscale":[24],"is":[25],"studied":[26],"by":[27],"symmetry":[29],"group":[30],"theory.":[31],"After":[32],"introducing":[33],"one":[34],"scalar-,":[35],"two":[36,39],"vector-,":[37],"tensor":[40],"potentials,":[41],"we":[42],"find":[43,66],"that":[44],"Lie":[46,61],"symmetries":[47,62],"of":[48,69,73,85],"extended":[50],"system":[51],"include":[52],"many":[53],"arbitrary":[54],"functions":[55],"of<mml:math":[56],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>z</mml:mi></mml:math>and<mml:math":[57],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mo>{</mml:mo><mml:mrow><mml:mi>z</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow><mml:mo>}</mml:mo></mml:mrow></mml:math>.":[58],"The":[59],"obtained":[60],"are":[63],"some":[67],"types":[68],"exact":[70,74],"solutions.":[71],"One":[72],"solutions":[75],"qualitatively":[80],"three-dimensional":[83],"structure":[84],"hurricanes.":[86]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}