{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T01:05:09Z","timestamp":1760231109178,"version":"build-2065373602"},"reference-count":46,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2022,8,25]],"date-time":"2022-08-25T00:00:00Z","timestamp":1661385600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100007446","name":"King Khalid University","doi-asserted-by":"publisher","award":["RGP.2\/15\/43"],"award-info":[{"award-number":["RGP.2\/15\/43"]}],"id":[{"id":"10.13039\/501100007446","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, the coupled nonlinear KdV (CNKdV) equations are solved in a stochastic environment. Hermite transforms, generalized conformable derivative, and an algorithm that merges the white noise instruments and the (G\u2032\/G2)-expansion technique are utilized to obtain white noise functional conformable solutions for these equations. New stochastic kinds of periodic and soliton solutions for these equations under conformable generalized derivatives are produced. Moreover, three-dimensional (3D) depictions are shown to illustrate that the monotonicity and symmetry of the obtained solutions can be controlled by giving a value of the conformable parameter. Furthermore, some remarks are presented to give a comparison between the obtained wave solutions and the wave solutions constructed under the conformable derivatives and Newton\u2019s derivatives.<\/jats:p>","DOI":"10.3390\/sym14091770","type":"journal-article","created":{"date-parts":[[2022,8,31]],"date-time":"2022-08-31T02:09:36Z","timestamp":1661911776000},"page":"1770","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["New Analytical Solutions for Coupled Stochastic Korteweg\u2013de Vries Equations via Generalized Derivatives"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9273-9512","authenticated-orcid":false,"given":"Abd-Allah","family":"Hyder","sequence":"first","affiliation":[{"name":"Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia"},{"name":"Department of Engineering Mathematics and Physics, Faculty of Engineering, Al-Azhar University, Cairo 71524, Egypt"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4036-6368","authenticated-orcid":false,"given":"Mohamed A.","family":"Barakat","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences, Al-Azhar University, Assiut 71524, Egypt"},{"name":"Department of Computer Science, College of Al Wajh, University of Tabuk, Tabuk 71491, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5732-0847","authenticated-orcid":false,"given":"Ahmed H.","family":"Soliman","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences, Al-Azhar University, Assiut 71524, Egypt"}]},{"given":"Areej A.","family":"Almoneef","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1694-7907","authenticated-orcid":false,"given":"Clemente","family":"Cesarano","sequence":"additional","affiliation":[{"name":"Section of Mathematics, Universit\u00e0 Telematica Internazionale Uninettuno, 00186 Rome, Italy"}]}],"member":"1968","published-online":{"date-parts":[[2022,8,25]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"593111","DOI":"10.3389\/fphy.2020.593111","article-title":"Editorial: Recent Trends in Computational Fluid Dynamics","volume":"8","author":"Bhatti","year":"2020","journal-title":"Front. Phys."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"834","DOI":"10.1080\/16583655.2019.1644832","article-title":"The new exact solutions for the deterministic and stochastic(2+1)-dimensional equations in natural sciences","volume":"13","author":"Abdelrahman","year":"2019","journal-title":"J. Taibah Univ. 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