{"id":"https://openalex.org/W2127825545","doi":"https://doi.org/10.1007/s11075-014-9928-7","title":"Integrable discretization of nonlinear Schr\u00f6dinger equation and its application with Fourier pseudo-spectral method","display_name":"Integrable discretization of nonlinear Schr\u00f6dinger equation and its application with Fourier pseudo-spectral method","publication_year":2014,"publication_date":"2014-10-12","ids":{"openalex":"https://openalex.org/W2127825545","doi":"https://doi.org/10.1007/s11075-014-9928-7","mag":"2127825545"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-014-9928-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-014-9928-7","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5100657994","display_name":"Yingnan Zhang","orcid":"https://orcid.org/0000-0001-8274-5521"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Y. Zhang","raw_affiliation_strings":["Institute of Computational Mathematics and Scientific Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","Academy of Mathematics and Systems Science, Chinese Academy of Sciences,#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Computational Mathematics and Scientific Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Academy of Mathematics and Systems Science, Chinese Academy of Sciences,#TAB#","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108053039","display_name":"Xiaobing Hu","orcid":"https://orcid.org/0000-0002-9233-8118"},"institutions":[{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"X. B. Hu","raw_affiliation_strings":["Institute of Computational Mathematics and Scientific Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","Academy of Mathematics and Systems Science, Chinese Academy of Sciences,#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Computational Mathematics and Scientific Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Academy of Mathematics and Systems Science, Chinese Academy of Sciences,#TAB#","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049427236","display_name":"Hon\u2010Wah Tam","orcid":null},"institutions":[{"id":"https://openalex.org/I141568987","display_name":"Hong Kong Baptist University","ror":"https://ror.org/0145fw131","country_code":"HK","type":"education","lineage":["https://openalex.org/I141568987"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"H. W. Tam","raw_affiliation_strings":["Department of Computer Science, Hong Kong Baptist University, Hongkong, China","Hong Kong Baptist University"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Hong Kong Baptist University, Hongkong, China","institution_ids":["https://openalex.org/I141568987"]},{"raw_affiliation_string":"Hong Kong Baptist University","institution_ids":["https://openalex.org/I141568987"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100657994"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.9569,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.76523306,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"69","issue":"4","first_page":"839","last_page":"862"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9997000098228455,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/discretization","display_name":"Discretization","score":0.8520883321762085},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8030308485031128},{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.723715603351593},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6404474377632141},{"id":"https://openalex.org/keywords/nonlinear-schr\u00f6dinger-equation","display_name":"Nonlinear Schr\u00f6dinger equation","score":0.6177234053611755},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5710747838020325},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5479389429092407},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.53125},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.49618345499038696},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4290415346622467},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.4265219569206238},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4107969105243683},{"id":"https://openalex.org/keywords/schr\u00f6dinger-equation","display_name":"Schr\u00f6dinger equation","score":0.40566855669021606},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.322066068649292},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1738836169242859},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1481364667415619}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8520883321762085},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8030308485031128},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.723715603351593},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6404474377632141},{"id":"https://openalex.org/C83774755","wikidata":"https://www.wikidata.org/wiki/Q2579914","display_name":"Nonlinear Schr\u00f6dinger equation","level":3,"score":0.6177234053611755},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5710747838020325},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5479389429092407},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.53125},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.49618345499038696},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4290415346622467},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.4265219569206238},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4107969105243683},{"id":"https://openalex.org/C63036615","wikidata":"https://www.wikidata.org/wiki/Q165498","display_name":"Schr\u00f6dinger equation","level":2,"score":0.40566855669021606},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.322066068649292},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1738836169242859},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1481364667415619},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-014-9928-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-014-9928-7","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","score":0.699999988079071,"display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":62,"referenced_works":["https://openalex.org/W106404678","https://openalex.org/W635490858","https://openalex.org/W649794155","https://openalex.org/W1486629500","https://openalex.org/W1496590890","https://openalex.org/W1558122728","https://openalex.org/W1708785370","https://openalex.org/W1964889245","https://openalex.org/W1966067614","https://openalex.org/W1972140872","https://openalex.org/W1973279410","https://openalex.org/W1982891628","https://openalex.org/W1989693321","https://openalex.org/W1990545644","https://openalex.org/W1990941470","https://openalex.org/W1991602497","https://openalex.org/W1996338596","https://openalex.org/W1997052948","https://openalex.org/W1999078596","https://openalex.org/W2000774502","https://openalex.org/W2010444332","https://openalex.org/W2012220122","https://openalex.org/W2013529907","https://openalex.org/W2015186260","https://openalex.org/W2018087212","https://openalex.org/W2019522628","https://openalex.org/W2022873107","https://openalex.org/W2023403160","https://openalex.org/W2031211082","https://openalex.org/W2032613642","https://openalex.org/W2033099995","https://openalex.org/W2037864736","https://openalex.org/W2044478778","https://openalex.org/W2044503648","https://openalex.org/W2045472629","https://openalex.org/W2048419058","https://openalex.org/W2048723116","https://openalex.org/W2050639649","https://openalex.org/W2060005168","https://openalex.org/W2060513585","https://openalex.org/W2067252500","https://openalex.org/W2069634719","https://openalex.org/W2072641535","https://openalex.org/W2077144502","https://openalex.org/W2080711197","https://openalex.org/W2082219850","https://openalex.org/W2087578966","https://openalex.org/W2113196019","https://openalex.org/W2118575947","https://openalex.org/W2140846764","https://openalex.org/W2157915828","https://openalex.org/W3009283957","https://openalex.org/W3105080765","https://openalex.org/W3105765914","https://openalex.org/W4232650420","https://openalex.org/W4242082600","https://openalex.org/W4245764396","https://openalex.org/W4246906787","https://openalex.org/W4247560178","https://openalex.org/W4249404698","https://openalex.org/W4249909331","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3083612343","https://openalex.org/W4293683879","https://openalex.org/W2253637996","https://openalex.org/W2245214771","https://openalex.org/W2073973926","https://openalex.org/W2333053900","https://openalex.org/W1975562467","https://openalex.org/W2951961089","https://openalex.org/W3101208931","https://openalex.org/W2181923191"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}