{"id":"https://openalex.org/W4404297220","doi":"https://doi.org/10.1016/j.aml.2024.109368","title":"Normalized solutions for Schr\u00f6dinger\u2013Bopp\u2013Podolsky system with a negative potential","display_name":"Normalized solutions for Schr\u00f6dinger\u2013Bopp\u2013Podolsky system with a negative potential","publication_year":2024,"publication_date":"2024-11-12","ids":{"openalex":"https://openalex.org/W4404297220","doi":"https://doi.org/10.1016/j.aml.2024.109368"},"language":"en","primary_location":{"id":"doi:10.1016/j.aml.2024.109368","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.aml.2024.109368","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","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/A5100451783","display_name":"Rong Zhang","orcid":"https://orcid.org/0000-0002-1602-4133"},"institutions":[{"id":"https://openalex.org/I119203015","display_name":"Shandong University of Technology","ror":"https://ror.org/02mr3ar13","country_code":"CN","type":"education","lineage":["https://openalex.org/I119203015"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rong Zhang","raw_affiliation_strings":["School of Mathematics and Statistics, Shandong University of Technology, Zibo 255049, PR China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Shandong University of Technology, Zibo 255049, PR China","institution_ids":["https://openalex.org/I119203015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022932629","display_name":"Shuai Yao","orcid":"https://orcid.org/0000-0002-8685-8459"},"institutions":[{"id":"https://openalex.org/I119203015","display_name":"Shandong University of Technology","ror":"https://ror.org/02mr3ar13","country_code":"CN","type":"education","lineage":["https://openalex.org/I119203015"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuai Yao","raw_affiliation_strings":["School of Mathematics and Statistics, Shandong University of Technology, Zibo 255049, PR China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Shandong University of Technology, Zibo 255049, PR China","institution_ids":["https://openalex.org/I119203015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082478296","display_name":"Juntao Sun","orcid":"https://orcid.org/0000-0002-5837-1440"},"institutions":[{"id":"https://openalex.org/I119203015","display_name":"Shandong University of Technology","ror":"https://ror.org/02mr3ar13","country_code":"CN","type":"education","lineage":["https://openalex.org/I119203015"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Juntao Sun","raw_affiliation_strings":["School of Mathematics and Statistics, Shandong University of Technology, Zibo 255049, PR China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Shandong University of Technology, Zibo 255049, PR China","institution_ids":["https://openalex.org/I119203015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5082478296"],"corresponding_institution_ids":["https://openalex.org/I119203015"],"apc_list":{"value":3540,"currency":"USD","value_usd":3540},"apc_paid":null,"fwci":7.51,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.98562344,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"161","issue":null,"first_page":"109368","last_page":"109368"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.7707452774047852},{"id":"https://openalex.org/keywords/schr\u00f6dingers-cat","display_name":"Schr\u00f6dinger's cat","score":0.6506146788597107},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45942002534866333},{"id":"https://openalex.org/keywords/schr\u00f6dinger-equation","display_name":"Schr\u00f6dinger equation","score":0.4270375967025757},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.31696194410324097},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25460487604141235}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7707452774047852},{"id":"https://openalex.org/C194800363","wikidata":"https://www.wikidata.org/wiki/Q8588","display_name":"Schr\u00f6dinger's cat","level":2,"score":0.6506146788597107},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45942002534866333},{"id":"https://openalex.org/C63036615","wikidata":"https://www.wikidata.org/wiki/Q165498","display_name":"Schr\u00f6dinger equation","level":2,"score":0.4270375967025757},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.31696194410324097},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25460487604141235}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.aml.2024.109368","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.aml.2024.109368","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2643147978","display_name":null,"funder_award_id":"12371174","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6663163824","display_name":null,"funder_award_id":"ZR2020JQ01","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1515685921","https://openalex.org/W2043812901","https://openalex.org/W2118818801","https://openalex.org/W2143845263","https://openalex.org/W2246789999","https://openalex.org/W2275286668","https://openalex.org/W2900182633","https://openalex.org/W2963845416","https://openalex.org/W2970228747","https://openalex.org/W2985349574","https://openalex.org/W4256553551","https://openalex.org/W4256556308","https://openalex.org/W4288063614","https://openalex.org/W4388912933","https://openalex.org/W6630889793","https://openalex.org/W6779943296"],"related_works":["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","https://openalex.org/W2349865015","https://openalex.org/W2041096835"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5}],"updated_date":"2026-01-19T04:01:09.351973","created_date":"2025-10-10T00:00:00"}
