{"id":"https://openalex.org/W4406039075","doi":"https://doi.org/10.1007/s40314-024-03067-w","title":"Nonlocal symmetries, exact solutions, and conservation laws for the nonlinear Dirac system","display_name":"Nonlocal symmetries, exact solutions, and conservation laws for the nonlinear Dirac system","publication_year":2025,"publication_date":"2025-01-03","ids":{"openalex":"https://openalex.org/W4406039075","doi":"https://doi.org/10.1007/s40314-024-03067-w"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-024-03067-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-024-03067-w","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","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/A5100401234","display_name":"Feng Zhang","orcid":"https://orcid.org/0000-0002-1163-2498"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Feng Zhang","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang Normal University, Jinhua, 321004, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang Normal University, Jinhua, 321004, China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101798715","display_name":"Xiangpeng Xin","orcid":"https://orcid.org/0000-0002-3973-5800"},"institutions":[{"id":"https://openalex.org/I196934937","display_name":"Liaocheng University","ror":"https://ror.org/03yh0n709","country_code":"CN","type":"education","lineage":["https://openalex.org/I196934937"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangpeng Xin","raw_affiliation_strings":["School of Mathematical Sciences, Liaocheng University, Liaocheng, 252059, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Liaocheng University, Liaocheng, 252059, China","institution_ids":["https://openalex.org/I196934937"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060062239","display_name":"Yi Zhang","orcid":"https://orcid.org/0000-0002-8483-4349"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi Zhang","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang Normal University, Jinhua, 321004, China"],"raw_orcid":"https://orcid.org/0000-0002-8483-4349","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang Normal University, Jinhua, 321004, China","institution_ids":["https://openalex.org/I135237710"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100401234"],"corresponding_institution_ids":["https://openalex.org/I135237710"],"apc_list":null,"apc_paid":null,"fwci":2.3609,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.85631093,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"44","issue":"3","first_page":null,"last_page":null},"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9998000264167786,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/conservation-law","display_name":"Conservation law","score":0.7836976051330566},{"id":"https://openalex.org/keywords/dirac","display_name":"Dirac (video compression format)","score":0.7683618664741516},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.7446225881576538},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5900719165802002},{"id":"https://openalex.org/keywords/dirac-equation","display_name":"Dirac equation","score":0.48917391896247864},{"id":"https://openalex.org/keywords/soliton","display_name":"Soliton","score":0.48458802700042725},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.43890732526779175},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.4199506342411041},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.41444259881973267},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3952985405921936},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3860738277435303},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.37389349937438965},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.3256374001502991},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2518266439437866},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.19949358701705933},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08886140584945679},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.06692883372306824},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06207621097564697}],"concepts":[{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.7836976051330566},{"id":"https://openalex.org/C61039578","wikidata":"https://www.wikidata.org/wiki/Q604279","display_name":"Dirac (video compression format)","level":3,"score":0.7683618664741516},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.7446225881576538},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5900719165802002},{"id":"https://openalex.org/C82601208","wikidata":"https://www.wikidata.org/wiki/Q272621","display_name":"Dirac equation","level":2,"score":0.48917391896247864},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.48458802700042725},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.43890732526779175},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.4199506342411041},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.41444259881973267},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3952985405921936},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3860738277435303},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.37389349937438965},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.3256374001502991},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2518266439437866},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.19949358701705933},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08886140584945679},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.06692883372306824},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06207621097564697},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C186453547","wikidata":"https://www.wikidata.org/wiki/Q2126","display_name":"Neutrino","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-024-03067-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-024-03067-w","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.699999988079071,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G1182344820","display_name":null,"funder_award_id":"12271488","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2692720859","display_name":null,"funder_award_id":"11371326","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1976581070","https://openalex.org/W2034453268","https://openalex.org/W2043390212","https://openalex.org/W2043465319","https://openalex.org/W2085413857","https://openalex.org/W2128218337","https://openalex.org/W2196014105","https://openalex.org/W2232261377","https://openalex.org/W2437761065","https://openalex.org/W2521690655","https://openalex.org/W2745110207","https://openalex.org/W2781841204","https://openalex.org/W2949476605","https://openalex.org/W2962766483","https://openalex.org/W2976771604","https://openalex.org/W3083180322","https://openalex.org/W3091908341","https://openalex.org/W3107497183","https://openalex.org/W3168314120","https://openalex.org/W3204364462","https://openalex.org/W3211560386","https://openalex.org/W3211810170","https://openalex.org/W4229672964","https://openalex.org/W4245209597","https://openalex.org/W4283520490","https://openalex.org/W4292882006","https://openalex.org/W4298215126","https://openalex.org/W4300302763","https://openalex.org/W4307571714","https://openalex.org/W4313367046","https://openalex.org/W4317509372","https://openalex.org/W4319296348","https://openalex.org/W4322769229","https://openalex.org/W4386790527","https://openalex.org/W4390493144"],"related_works":["https://openalex.org/W2373595193","https://openalex.org/W2044789371","https://openalex.org/W4394653339","https://openalex.org/W1564485841","https://openalex.org/W4244688541","https://openalex.org/W3100754759","https://openalex.org/W1919901593","https://openalex.org/W2053901403","https://openalex.org/W2027077046","https://openalex.org/W2951283098"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}