{"id":"https://openalex.org/W3006830784","doi":"https://doi.org/10.1007/s00332-021-09680-x","title":"Numerical Study of Zakharov\u2013Kuznetsov Equations in Two Dimensions","display_name":"Numerical Study of Zakharov\u2013Kuznetsov Equations in Two Dimensions","publication_year":2021,"publication_date":"2021-02-15","ids":{"openalex":"https://openalex.org/W3006830784","doi":"https://doi.org/10.1007/s00332-021-09680-x","mag":"3006830784"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-021-09680-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-021-09680-x","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"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":"Journal of Nonlinear Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2002.07886","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032788324","display_name":"Christian Klein","orcid":"https://orcid.org/0000-0002-6936-7412"},"institutions":[{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439"]},{"id":"https://openalex.org/I4210112333","display_name":"Institut de Math\u00e9matiques de Bourgogne","ror":"https://ror.org/021f0sa24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210112333","https://openalex.org/I4405253280"]},{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Christian Klein","raw_affiliation_strings":["Institut de Math\u00e9matiques de Bourgogne, UMR 5584, Universit\u00e9 de Bourgogne-Franche-Comt\u00e9, 9 avenue Alain Savary, 21078, Dijon Cedex, France","IMB - Institut de Math\u00e9matiques de Bourgogne [Dijon] (Universit\u00e9 de Bourgogne - 9, avenue Alain Savary - B.P. 47 870 - 21078 Dijon Cedex - France)"],"raw_orcid":"https://orcid.org/0000-0002-6936-7412","affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques de Bourgogne, UMR 5584, Universit\u00e9 de Bourgogne-Franche-Comt\u00e9, 9 avenue Alain Savary, 21078, Dijon Cedex, France","institution_ids":["https://openalex.org/I4210112333"]},{"raw_affiliation_string":"IMB - Institut de Math\u00e9matiques de Bourgogne [Dijon] (Universit\u00e9 de Bourgogne - 9, avenue Alain Savary - B.P. 47 870 - 21078 Dijon Cedex - France)","institution_ids":["https://openalex.org/I4210166017","https://openalex.org/I4210112333","https://openalex.org/I177064439"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026912162","display_name":"Svetlana Roudenko","orcid":"https://orcid.org/0000-0002-7407-7639"},"institutions":[{"id":"https://openalex.org/I11874761","display_name":"University of North Florida","ror":"https://ror.org/01j903a45","country_code":"US","type":"education","lineage":["https://openalex.org/I11874761"]},{"id":"https://openalex.org/I19700959","display_name":"Florida International University","ror":"https://ror.org/02gz6gg07","country_code":"US","type":"education","lineage":["https://openalex.org/I19700959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Svetlana Roudenko","raw_affiliation_strings":["Department of Mathematics and Statistics, Florida International University, Miami, FL, 33199, USA","UNF - University of North Florida [Jacksonville] (1 UNF Drive \r\nJacksonville, FL 32224 - United States)"],"raw_orcid":"https://orcid.org/0000-0002-7407-7639","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Florida International University, Miami, FL, 33199, USA","institution_ids":["https://openalex.org/I19700959"]},{"raw_affiliation_string":"UNF - University of North Florida [Jacksonville] (1 UNF Drive \r\nJacksonville, FL 32224 - United States)","institution_ids":["https://openalex.org/I11874761"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051788423","display_name":"Nikola Stoilov","orcid":"https://orcid.org/0000-0002-6984-4004"},"institutions":[{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439"]},{"id":"https://openalex.org/I4210112333","display_name":"Institut de Math\u00e9matiques de Bourgogne","ror":"https://ror.org/021f0sa24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210112333","https://openalex.org/I4405253280"]},{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nikola Stoilov","raw_affiliation_strings":["Institut de Math\u00e9matiques de Bourgogne, UMR 5584, Universit\u00e9 de Bourgogne-Franche-Comt\u00e9, 9 avenue Alain Savary, 21078, Dijon Cedex, France","IMB - Institut de Math\u00e9matiques de Bourgogne [Dijon] (Universit\u00e9 de Bourgogne - 9, avenue Alain Savary - B.P. 47 870 - 21078 Dijon Cedex - France)"],"raw_orcid":"https://orcid.org/0000-0002-6984-4004","affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques de Bourgogne, UMR 5584, Universit\u00e9 de Bourgogne-Franche-Comt\u00e9, 9 avenue Alain Savary, 21078, Dijon Cedex, France","institution_ids":["https://openalex.org/I4210112333"]},{"raw_affiliation_string":"IMB - Institut de Math\u00e9matiques de Bourgogne [Dijon] (Universit\u00e9 de Bourgogne - 9, avenue Alain Savary - B.P. 47 870 - 21078 Dijon Cedex - France)","institution_ids":["https://openalex.org/I4210166017","https://openalex.org/I4210112333","https://openalex.org/I177064439"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5032788324"],"corresponding_institution_ids":["https://openalex.org/I177064439","https://openalex.org/I4210112333","https://openalex.org/I4210166017"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":5.4622,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.96602471,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"31","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9998999834060669,"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":0.9998999834060669,"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/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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9986000061035156,"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/soliton","display_name":"Soliton","score":0.7014590501785278},{"id":"https://openalex.org/keywords/supercritical-fluid","display_name":"Supercritical fluid","score":0.6861230134963989},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.6791541576385498},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6590222716331482},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4623052179813385},{"id":"https://openalex.org/keywords/dispersion","display_name":"Dispersion (optics)","score":0.44784700870513916},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.4370790719985962},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4320790767669678},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41744309663772583},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3345314860343933},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2206192910671234},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06130552291870117},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.060117632150650024}],"concepts":[{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.7014590501785278},{"id":"https://openalex.org/C118419359","wikidata":"https://www.wikidata.org/wiki/Q682585","display_name":"Supercritical fluid","level":2,"score":0.6861230134963989},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.6791541576385498},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6590222716331482},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4623052179813385},{"id":"https://openalex.org/C177562468","wikidata":"https://www.wikidata.org/wiki/Q182893","display_name":"Dispersion (optics)","level":2,"score":0.44784700870513916},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4370790719985962},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4320790767669678},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41744309663772583},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3345314860343933},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2206192910671234},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06130552291870117},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.060117632150650024},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00332-021-09680-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-021-09680-x","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"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":"Journal of Nonlinear Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2002.07886","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2002.07886","pdf_url":"https://arxiv.org/pdf/2002.07886","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:HAL:hal-03303398v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03303398","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://link.springer.com/article/10.1007%2Fs00332-021-09680-x","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2002.07886","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2002.07886","pdf_url":"https://arxiv.org/pdf/2002.07886","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W107910158","https://openalex.org/W320414190","https://openalex.org/W1549114415","https://openalex.org/W1676833780","https://openalex.org/W1724751119","https://openalex.org/W1848958633","https://openalex.org/W1977958119","https://openalex.org/W1997113827","https://openalex.org/W2024991751","https://openalex.org/W2026287896","https://openalex.org/W2028119371","https://openalex.org/W2034652580","https://openalex.org/W2043375613","https://openalex.org/W2049165066","https://openalex.org/W2061473611","https://openalex.org/W2066884096","https://openalex.org/W2140153041","https://openalex.org/W2146514040","https://openalex.org/W2150554298","https://openalex.org/W2467448399","https://openalex.org/W2566386715","https://openalex.org/W2770961308","https://openalex.org/W2796792410","https://openalex.org/W2798910916","https://openalex.org/W2897370544","https://openalex.org/W2899242596","https://openalex.org/W2954178961","https://openalex.org/W2962941455","https://openalex.org/W2963762891","https://openalex.org/W2964084916","https://openalex.org/W2964116990","https://openalex.org/W2964295634","https://openalex.org/W3024450554","https://openalex.org/W3049673885","https://openalex.org/W3103438225","https://openalex.org/W4211077197","https://openalex.org/W4289406219"],"related_works":["https://openalex.org/W3196163622","https://openalex.org/W2370685986","https://openalex.org/W2040168466","https://openalex.org/W4388805554","https://openalex.org/W2371292460","https://openalex.org/W2130313128","https://openalex.org/W7632529","https://openalex.org/W2306553012","https://openalex.org/W2382967792","https://openalex.org/W2373699085"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
