{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,11]],"date-time":"2026-04-11T12:06:14Z","timestamp":1775909174306,"version":"3.50.1"},"reference-count":43,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2023,1,16]],"date-time":"2023-01-16T00:00:00Z","timestamp":1673827200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"University of Tabuk"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Several types of solitary wave solutions of (3 + 1)-dimensional nonlinear extended and modified quantum Zakharov\u2013Kuznetsov equations are established successfully via the implantation of three mathematical methods. The concerned models have many fruitful applications to describe the waves in quantum electron\u2013positron\u2013ion magnetoplasmas and weakly nonlinear ion-acoustic waves in plasma. The derived results via the MEAEM method, ESE method, and modified F-expansion have been retrieved and will be expedient in the future to illuminate the collaboration between lower nonlinear ion-acoustic waves. For the physical behavior of the models, some solutions are plotted graphically in 2D and 3D by imparting particular values to the parameters under the given condition at each solution. Hence explored solutions have profitable rewards in the field of mathematical physics.<\/jats:p>","DOI":"10.3390\/sym15010248","type":"journal-article","created":{"date-parts":[[2023,1,16]],"date-time":"2023-01-16T06:03:30Z","timestamp":1673849010000},"page":"248","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["Construction of Solitary Wave Solutions to the (3 + 1)-Dimensional Nonlinear Extended and Modified Quantum Zakharov\u2013Kuznetsov Equations Arising in Quantum Plasma Physics"],"prefix":"10.3390","volume":"15","author":[{"given":"Mounirah","family":"Areshi","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7412-4773","authenticated-orcid":false,"given":"Aly R.","family":"Seadawy","sequence":"additional","affiliation":[{"name":"Mathematics Department, Faculty of Science, Taibah University, P.O. Box 344, Al-Madinah Al-Munawarah 41411, Saudi Arabia"}]},{"given":"Asghar","family":"Ali","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Education, Multan Campus, Lahore 54000, Pakistan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9758-5591","authenticated-orcid":false,"given":"Abdulrahman F.","family":"AlJohani","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia"}]},{"given":"Weam","family":"Alharbi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia"}]},{"given":"Amal F.","family":"Alharbi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2023,1,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"26","DOI":"10.3934\/math.2020003","article-title":"Exact wave solutions to the simplified modified Camassa-Holm equation in mathematical physics","volume":"5","author":"Islam","year":"2020","journal-title":"AIMS Math."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"127","DOI":"10.24193\/fpt-ro.2022.1.08","article-title":"Existence of multiple positive solutions to the Caputo-type nonlinear fractional Differential equation with integral boundary value conditions","volume":"23","author":"Asaduzzaman","year":"2022","journal-title":"Fixed Point Theory"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"100463","DOI":"10.1016\/j.padiff.2022.100463","article-title":"Numerical exploration of MHD unsteady flow of THNF passing through a moving cylinder with Soret and Dufour effects","volume":"6","author":"Gharami","year":"2022","journal-title":"Partial. 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