{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,10]],"date-time":"2026-07-10T02:27:21Z","timestamp":1783650441774,"version":"3.55.0"},"reference-count":58,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2023,1,29]],"date-time":"2023-01-29T00:00:00Z","timestamp":1674950400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"the Deanship for Research and Innovation, Ministry of Education in Saudi Arabia","award":["IFP22UQU4282396DSR051"],"award-info":[{"award-number":["IFP22UQU4282396DSR051"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, we discuss the time-fractional mKdV-ZK equation, which is a kind of physical model, developed for plasma of hot and cool electrons and some fluid ions. Based on the properties of certain employed truncated M-fractional derivatives, we reduce the time-fractional mKdV-ZK equation to an integer-order ordinary differential equation utilizing an adequate traveling wave transformation. Further, we derive a dynamical system to present bifurcation of the equation equilibria and show existence of solitary and kink singular wave solutions for the time-fractional mKdV-ZK equation. Furthermore, we establish symmetric solitary, kink, and singular wave solutions for the governing model by using the ansatz method. Moreover, we depict desired results at different physical parameter values to provide physical interpolations for the aforementioned equation. Finally, we introduce applications of the governing model in detail.<\/jats:p>","DOI":"10.3390\/sym15020361","type":"journal-article","created":{"date-parts":[[2023,1,30]],"date-time":"2023-01-30T07:34:41Z","timestamp":1675064081000},"page":"361","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Traveling Wave Solutions for Time-Fractional mKdV-ZK Equation of Weakly Nonlinear Ion-Acoustic Waves in Magnetized Electron\u2013Positron Plasma"],"prefix":"10.3390","volume":"15","author":[{"given":"Mohammed","family":"Alabedalhadi","sequence":"first","affiliation":[{"name":"Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816, Jordan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shrideh","family":"Al-Omari","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Amman 11134, Jordan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0226-7254","authenticated-orcid":false,"given":"Mohammed","family":"Al-Smadi","sequence":"additional","affiliation":[{"name":"College of Commerce and Business, Lusail University, Lusail 9717, Qatar"},{"name":"Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 20550, United Arab Emirates"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7761-4196","authenticated-orcid":false,"given":"Sharifah","family":"Alhazmi","sequence":"additional","affiliation":[{"name":"Mathematics Department, Al-Qunfudah University College, Umm Al-Qura University, Mecca 21955, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,1,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"102305","DOI":"10.1063\/1.4933000","article-title":"Effect of excess superthermal hot electrons on finite amplitude ion-acoustic solitons and supersolitons in a magnetized auroral plasma","volume":"22","author":"Rufai","year":"2015","journal-title":"Phys. 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