{"id":"https://openalex.org/W4408925378","doi":"https://doi.org/10.3390/axioms14040251","title":"Advancements in Gevrey Regularity for a Coupled Kadomtsev\u2013Petviashvili II System: New Insights and Findings","display_name":"Advancements in Gevrey Regularity for a Coupled Kadomtsev\u2013Petviashvili II System: New Insights and Findings","publication_year":2025,"publication_date":"2025-03-27","ids":{"openalex":"https://openalex.org/W4408925378","doi":"https://doi.org/10.3390/axioms14040251"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14040251","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040251","pdf_url":"https://www.mdpi.com/2075-1680/14/4/251/pdf?version=1743044917","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/14/4/251/pdf?version=1743044917","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5115687478","display_name":"Feriel Boudersa","orcid":null},"institutions":[{"id":"https://openalex.org/I162489102","display_name":"University of Batna 1","ror":"https://ror.org/04hrbe508","country_code":"DZ","type":"education","lineage":["https://openalex.org/I162489102"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Feriel Boudersa","raw_affiliation_strings":["Department of Mathematics, LTM, University of Batna 2, Mostefa Ben Boula\u00efd, Fesdis, Batna 05078, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, LTM, University of Batna 2, Mostefa Ben Boula\u00efd, Fesdis, Batna 05078, Algeria","institution_ids":["https://openalex.org/I162489102"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007422577","display_name":"Abdelaziz Mennouni","orcid":"https://orcid.org/0000-0002-0791-5866"},"institutions":[{"id":"https://openalex.org/I162489102","display_name":"University of Batna 1","ror":"https://ror.org/04hrbe508","country_code":"DZ","type":"education","lineage":["https://openalex.org/I162489102"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Abdelaziz Mennouni","raw_affiliation_strings":["Department of Mathematics, LTM, University of Batna 2, Mostefa Ben Boula\u00efd, Fesdis, Batna 05078, Algeria"],"raw_orcid":"https://orcid.org/0000-0002-0791-5866","affiliations":[{"raw_affiliation_string":"Department of Mathematics, LTM, University of Batna 2, Mostefa Ben Boula\u00efd, Fesdis, Batna 05078, Algeria","institution_ids":["https://openalex.org/I162489102"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055431798","display_name":"Ravi P. Agarwal","orcid":"https://orcid.org/0000-0003-0634-2370"},"institutions":[{"id":"https://openalex.org/I106959904","display_name":"Florida Institute of Technology","ror":"https://ror.org/04atsbb87","country_code":"US","type":"education","lineage":["https://openalex.org/I106959904"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ravi P. Agarwal","raw_affiliation_strings":["Department of Mathematics and Systems Engineering, Florida Institute of Technology, Melbourne, FL 32901, USA"],"raw_orcid":"https://orcid.org/0000-0003-0634-2370","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Systems Engineering, Florida Institute of Technology, Melbourne, FL 32901, USA","institution_ids":["https://openalex.org/I106959904"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5115687478"],"corresponding_institution_ids":["https://openalex.org/I162489102"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":6.1884,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.94841825,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"14","issue":"4","first_page":"251","last_page":"251"},"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":0.9994999766349792,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.995199978351593,"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":0.4756840467453003},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41822415590286255},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.395274817943573},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3736432194709778},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3436307907104492}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4756840467453003},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41822415590286255},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.395274817943573},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3736432194709778},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3436307907104492},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14040251","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040251","pdf_url":"https://www.mdpi.com/2075-1680/14/4/251/pdf?version=1743044917","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:98c80acd0948428eb573c5ea8d5bc01d","is_oa":true,"landing_page_url":"https://doaj.org/article/98c80acd0948428eb573c5ea8d5bc01d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 4, p 251 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14040251","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14040251","pdf_url":"https://www.mdpi.com/2075-1680/14/4/251/pdf?version=1743044917","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4408925378.pdf"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W11639646","https://openalex.org/W1976899916","https://openalex.org/W2032625821","https://openalex.org/W2116117840","https://openalex.org/W3009950373","https://openalex.org/W3087994181","https://openalex.org/W3179202817","https://openalex.org/W4285250248","https://openalex.org/W4316805793","https://openalex.org/W4378192570","https://openalex.org/W4381851623","https://openalex.org/W4385423651","https://openalex.org/W4391850757","https://openalex.org/W4392632393","https://openalex.org/W4392878587","https://openalex.org/W4393387703","https://openalex.org/W4394756617","https://openalex.org/W4400605137","https://openalex.org/W4401010376","https://openalex.org/W4402737619","https://openalex.org/W4404812594","https://openalex.org/W4406904885","https://openalex.org/W6600476551"],"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/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"In":[0],"this":[1,48],"work,":[2],"we":[3,74],"prove":[4],"that":[5,76],"the":[6,45,70],"initial":[7],"value":[8],"problem":[9],"for":[10],"a":[11],"system":[12],"of":[13,47,79],"two":[14],"Kadomtsev\u2013Petviashvili":[15],"II":[16],"(KP":[17],"II)":[18],"equations":[19],"coupled":[20],"via":[21],"both":[22,61],"dispersive":[23],"and":[24,37,63],"nonlinear":[25,64],"terms":[26],"is":[27,58],"locally":[28],"well-posed":[29],"in":[30,86],"anisotropic":[31,51],"Gevrey":[32,77],"spaces":[33,53],"Gs1,s2\u03b41,\u03b42,\u03f1(R2)\u00d7Gs1,s2\u03b41,\u03b42,\u03f1(R2)":[34],"with":[35],"\u22121/3<s1<0":[36],"s2\u22650.":[38],"This":[39],"advancement":[40],"extends":[41],"recent":[42],"findings":[43],"regarding":[44],"well-posedness":[46],"model":[49],"within":[50],"Sobolev":[52],"Hs1,s2(R2)\u00d7Hs1,s2(R2).":[54],"The":[55],"current":[56],"strategy":[57],"based":[59],"on":[60],"linear":[62],"estimates.":[65],"Additionally,":[66],"to":[67],"further":[68],"explore":[69],"system\u2019s":[71],"temporal":[72],"behavior,":[73],"establish":[75],"regularity":[78,85],"order":[80],"3\u03c1":[81],"(or":[82],"simply":[83],"Gevrey\u20143\u03c1":[84],"time)":[87],"exists.":[88]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}