{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,23]],"date-time":"2026-02-23T23:52:53Z","timestamp":1771890773839,"version":"3.50.1"},"reference-count":45,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2021,4,28]],"date-time":"2021-04-28T00:00:00Z","timestamp":1619568000000},"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 paper, we consider conservation laws and exact solutions of the (3+1)-dimensional modified KdV\u2013Zakharov\u2013Kuznetsov equation. Firstly, we construct conservation laws of the given equation with the help of the conservation theorem; the developed conservation laws are modified conservation laws. Then, we obtain exact solutions of the given equation via the (G\u2032\/G,1\/G)-expansion method. The obtained solutions are classified as trigonometric solutions, hyperbolic solutions and rational solutions. Furthermore, graphical representations of the obtained solutions are given.<\/jats:p>","DOI":"10.3390\/sym13050765","type":"journal-article","created":{"date-parts":[[2021,4,28]],"date-time":"2021-04-28T22:29:07Z","timestamp":1619648947000},"page":"765","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":31,"title":["On the Conservation Laws and Exact Solutions to the (3+1)-Dimensional Modified KdV-Zakharov-Kuznetsov Equation"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2448-2481","authenticated-orcid":false,"given":"Arzu","family":"Akbulut","sequence":"first","affiliation":[{"name":"Department of Mathematics-Computer, Art-Science Faculty, Eski\u015fehir Osmangazi University, 26040 Eski\u015fehir, Turkey"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5024-866X","authenticated-orcid":false,"given":"Hassan","family":"Almusawa","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Sciences, Jazan University, Jazan 45142, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5700-9127","authenticated-orcid":false,"given":"Melike","family":"Kaplan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Art-Science Faculty, Kastamonu University, 37150 Kastamonu, Turkey"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5783-0940","authenticated-orcid":false,"given":"Mohamed S.","family":"Osman","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt"},{"name":"Department of Mathematics, Faculty of Applied Science, Umm Alqurah University, Makkah 21955, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2021,4,28]]},"reference":[{"key":"ref_1","first-page":"267","article-title":"Analytical study of solitons to benjamin-bona-mahony-peregrine equation with power law nonlinearity by using three methods","volume":"80","author":"Osman","year":"2018","journal-title":"U. 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