{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,2]],"date-time":"2026-07-02T04:26:31Z","timestamp":1782966391197,"version":"3.54.5"},"reference-count":46,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2020,11,14]],"date-time":"2020-11-14T00:00:00Z","timestamp":1605312000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this article, we take into account the (2+1)-dimensional stochastic Chiral nonlinear Schr\u00f6dinger equation (2D-SCNLSE) in the It\u00f4 sense by multiplicative noise. We acquired trigonometric, rational and hyperbolic stochastic exact solutions, using three vital methods, namely Riccati\u2013Bernoulli sub-ODE, He\u2019s variational and sine\u2013cosine methods. These solutions may be applicable in various applications in applied science. The proposed methods are direct, efficient and powerful. Moreover, we investigate the effect of multiplicative noise on the solution for 2D-SCNLSE by introducing some graphs to illustrate the behavior of the obtained solutions.<\/jats:p>","DOI":"10.3390\/sym12111874","type":"journal-article","created":{"date-parts":[[2020,11,16]],"date-time":"2020-11-16T22:53:52Z","timestamp":1605567232000},"page":"1874","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":110,"title":["Exact Solutions of the (2+1)-Dimensional Stochastic Chiral Nonlinear Schr\u00f6dinger Equation"],"prefix":"10.3390","volume":"12","author":[{"given":"Sahar","family":"Albosaily","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, University of Ha\u2019il, Ha\u2019il 2440, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1402-7584","authenticated-orcid":false,"given":"Wael W.","family":"Mohammed","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, University of Ha\u2019il, Ha\u2019il 2440, Saudi Arabia"},{"name":"Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mohammed A.","family":"Aiyashi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Jazan University, Jazan 218, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mahmoud A. E.","family":"Abdelrahman","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt"},{"name":"Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah 344, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2020,11,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"3987","DOI":"10.1016\/j.ijleo.2015.07.197","article-title":"Soliton-like solutions for the coupled Schr\u00f6dinger\u2019s-Boussinesq equation","volume":"126","author":"Eslami","year":"2016","journal-title":"Opt. Int. J. Light Electron Opt."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2050078","DOI":"10.1142\/S0217984920500785","article-title":"The coupled nonlinear Schr\u00f6dinger-type equations","volume":"34","author":"Abdelrahman","year":"2020","journal-title":"Mod. Phys. 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