{"id":"https://openalex.org/W2049750273","doi":"https://doi.org/10.1007/s00332-007-9001-y","title":"Numerical Study of Oscillatory Regimes in\u00a0the\u00a0Kadomtsev\u2013Petviashvili Equation","display_name":"Numerical Study of Oscillatory Regimes in\u00a0the\u00a0Kadomtsev\u2013Petviashvili Equation","publication_year":2007,"publication_date":"2007-06-04","ids":{"openalex":"https://openalex.org/W2049750273","doi":"https://doi.org/10.1007/s00332-007-9001-y","mag":"2049750273"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-007-9001-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-007-9001-y","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/math-ph/0601025","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/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]},{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"funder","lineage":["https://openalex.org/I149899117"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Christian Klein","raw_affiliation_strings":["Max Planck Institute for Mathematics in the Sciences, Inselstra\u00dfe 22, 04103, Leipzig, Germany","Max Planck Institute for Mathematics in the Sciences#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Mathematics in the Sciences, Inselstra\u00dfe 22, 04103, Leipzig, Germany","institution_ids":["https://openalex.org/I4210091327"]},{"raw_affiliation_string":"Max Planck Institute for Mathematics in the Sciences#TAB#","institution_ids":["https://openalex.org/I149899117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083665031","display_name":"Christof Sparber","orcid":"https://orcid.org/0009-0003-7667-428X"},"institutions":[{"id":"https://openalex.org/I4210142651","display_name":"Wolfgang Pauli Institute","ror":"https://ror.org/048qkq105","country_code":"AT","type":"education","lineage":["https://openalex.org/I4210142651"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Christof Sparber","raw_affiliation_strings":["Wolfgang Pauli Institute Vienna & Faculty of Mathematics, Vienna University, Nordbergstra\u00dfe 15, 1090, Vienna, Austria","Vienna, University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wolfgang Pauli Institute Vienna & Faculty of Mathematics, Vienna University, Nordbergstra\u00dfe 15, 1090, Vienna, Austria","institution_ids":["https://openalex.org/I4210142651"]},{"raw_affiliation_string":"Vienna, University","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110260067","display_name":"Peter A. Markowich","orcid":"https://orcid.org/0000-0002-3704-1821"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Peter Markowich","raw_affiliation_strings":["Faculty of Mathematics, Vienna University, Nordbergstra\u00dfe 15, 1090, Vienna, Austria","Vienna, University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Vienna University, Nordbergstra\u00dfe 15, 1090, Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]},{"raw_affiliation_string":"Vienna, University","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5032788324"],"corresponding_institution_ids":["https://openalex.org/I149899117","https://openalex.org/I4210091327"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.482,"has_fulltext":false,"cited_by_count":74,"citation_normalized_percentile":{"value":0.92044403,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"17","issue":"5","first_page":"429","last_page":"470"},"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":0.9998000264167786,"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9990000128746033,"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/limit","display_name":"Limit (mathematics)","score":0.7747274041175842},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.670659065246582},{"id":"https://openalex.org/keywords/korteweg\u2013de-vries-equation","display_name":"Korteweg\u2013de Vries equation","score":0.6682538986206055},{"id":"https://openalex.org/keywords/dispersion","display_name":"Dispersion (optics)","score":0.5269818305969238},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.4932400584220886},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47095614671707153},{"id":"https://openalex.org/keywords/kadomtsev\u2013petviashvili-equation","display_name":"Kadomtsev\u2013Petviashvili equation","score":0.4579760730266571},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.39293134212493896},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3297680914402008},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.32087284326553345},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.30080175399780273},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.16093185544013977},{"id":"https://openalex.org/keywords/burgers-equation","display_name":"Burgers' equation","score":0.11909791827201843},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07675501704216003}],"concepts":[{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.7747274041175842},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.670659065246582},{"id":"https://openalex.org/C146630112","wikidata":"https://www.wikidata.org/wiki/Q601796","display_name":"Korteweg\u2013de Vries equation","level":3,"score":0.6682538986206055},{"id":"https://openalex.org/C177562468","wikidata":"https://www.wikidata.org/wiki/Q182893","display_name":"Dispersion (optics)","level":2,"score":0.5269818305969238},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.4932400584220886},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47095614671707153},{"id":"https://openalex.org/C159785203","wikidata":"https://www.wikidata.org/wiki/Q6345653","display_name":"Kadomtsev\u2013Petviashvili equation","level":4,"score":0.4579760730266571},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.39293134212493896},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3297680914402008},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.32087284326553345},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.30080175399780273},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.16093185544013977},{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.11909791827201843},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07675501704216003}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s00332-007-9001-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-007-9001-y","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:math-ph/0601025","is_oa":true,"landing_page_url":"http://arxiv.org/abs/math-ph/0601025","pdf_url":"https://arxiv.org/pdf/math-ph/0601025","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:CiteSeerX.psu:10.1.1.340.3375","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.340.3375","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math-ph/0601025v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.545.9091","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.545.9091","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.kth.se/global/preprints/preprint2005_124.pdf","raw_type":"text"},{"id":"pmh:oai:edoc.mpg.de:346303","is_oa":false,"landing_page_url":"http://edoc.mpg.de/346303","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Nonlinear Science, v.17, 429-470 (2007)","raw_type":"Article"},{"id":"pmh:oai:edoc.mpg.de:401996","is_oa":false,"landing_page_url":"http://edoc.mpg.de/401996","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Nonlinear Science, v.17, 429-470 (2007)","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:math-ph/0601025","is_oa":true,"landing_page_url":"http://arxiv.org/abs/math-ph/0601025","pdf_url":"https://arxiv.org/pdf/math-ph/0601025","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":[{"id":"https://metadata.un.org/sdg/10","score":0.44999998807907104,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W107910158","https://openalex.org/W134025997","https://openalex.org/W1482004846","https://openalex.org/W1490180844","https://openalex.org/W1552987673","https://openalex.org/W1896444828","https://openalex.org/W1965090638","https://openalex.org/W1966061913","https://openalex.org/W1968334598","https://openalex.org/W1976766601","https://openalex.org/W1978509796","https://openalex.org/W1987986328","https://openalex.org/W1996285813","https://openalex.org/W1998313731","https://openalex.org/W2004911731","https://openalex.org/W2005061077","https://openalex.org/W2006946841","https://openalex.org/W2008674898","https://openalex.org/W2016002683","https://openalex.org/W2017506422","https://openalex.org/W2021750750","https://openalex.org/W2023988006","https://openalex.org/W2025784082","https://openalex.org/W2026031976","https://openalex.org/W2027319740","https://openalex.org/W2031464598","https://openalex.org/W2036901031","https://openalex.org/W2038225313","https://openalex.org/W2041170998","https://openalex.org/W2042381599","https://openalex.org/W2047012233","https://openalex.org/W2047720177","https://openalex.org/W2048144270","https://openalex.org/W2054512429","https://openalex.org/W2058596163","https://openalex.org/W2067763134","https://openalex.org/W2070158487","https://openalex.org/W2075041225","https://openalex.org/W2078024706","https://openalex.org/W2083960709","https://openalex.org/W2084970828","https://openalex.org/W2087935157","https://openalex.org/W2094438648","https://openalex.org/W2097161346","https://openalex.org/W2098141795","https://openalex.org/W2101975677","https://openalex.org/W2105910098","https://openalex.org/W2131778920","https://openalex.org/W2135626407","https://openalex.org/W2160799481","https://openalex.org/W2182274314","https://openalex.org/W2290984403","https://openalex.org/W2408478130","https://openalex.org/W2740626834","https://openalex.org/W2798910916","https://openalex.org/W2801179766","https://openalex.org/W2949244951","https://openalex.org/W2949568892","https://openalex.org/W2953735919","https://openalex.org/W2982822377","https://openalex.org/W3211351405","https://openalex.org/W4298060601","https://openalex.org/W4300223101","https://openalex.org/W6633028612","https://openalex.org/W6734603010","https://openalex.org/W6750312519"],"related_works":["https://openalex.org/W1942448788","https://openalex.org/W2358291037","https://openalex.org/W3140432496","https://openalex.org/W2046099083","https://openalex.org/W2019025756","https://openalex.org/W2074178942","https://openalex.org/W2969472542","https://openalex.org/W2319082512","https://openalex.org/W4378675212","https://openalex.org/W2796076737"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-25T08:17:42.794288","created_date":"2025-10-10T00:00:00"}
