{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,16]],"date-time":"2026-05-16T07:43:00Z","timestamp":1778917380578,"version":"3.51.4"},"reference-count":23,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T00:00:00Z","timestamp":1743033600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this work, we prove that the initial value problem for a system of two Kadomtsev\u2013Petviashvili II (KP II) equations coupled via both dispersive and nonlinear terms is locally well-posed in anisotropic Gevrey spaces Gs1,s2\u03b41,\u03b42,\u03f1(R2)\u00d7Gs1,s2\u03b41,\u03b42,\u03f1(R2) with \u22121\/3&lt;s1&lt;0 and s2\u22650. This advancement extends recent findings regarding the well-posedness of this model within anisotropic Sobolev spaces Hs1,s2(R2)\u00d7Hs1,s2(R2). The current strategy is based on both linear and nonlinear estimates. Additionally, to further explore the system\u2019s temporal behavior, we establish that Gevrey regularity of order 3\u03c1 (or simply Gevrey\u20143\u03c1 regularity in time) exists.<\/jats:p>","DOI":"10.3390\/axioms14040251","type":"journal-article","created":{"date-parts":[[2025,3,28]],"date-time":"2025-03-28T04:11:40Z","timestamp":1743135100000},"page":"251","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Advancements in Gevrey Regularity for a Coupled Kadomtsev\u2013Petviashvili II System: New Insights and Findings"],"prefix":"10.3390","volume":"14","author":[{"given":"Feriel","family":"Boudersa","sequence":"first","affiliation":[{"name":"Department of Mathematics, LTM, University of Batna 2, Mostefa Ben Boula\u00efd, Fesdis, Batna 05078, Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0791-5866","authenticated-orcid":false,"given":"Abdelaziz","family":"Mennouni","sequence":"additional","affiliation":[{"name":"Department of Mathematics, LTM, University of Batna 2, Mostefa Ben Boula\u00efd, Fesdis, Batna 05078, Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0634-2370","authenticated-orcid":false,"given":"Ravi P.","family":"Agarwal","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Systems Engineering, Florida Institute of Technology, Melbourne, FL 32901, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,3,27]]},"reference":[{"key":"ref_1","first-page":"714","article-title":"The tanh method for travelling wave solutions of nonlinear equations","volume":"154","author":"Wazwaz","year":"2004","journal-title":"Appl. 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