Traveling Wave Solutions for Time-Fractional mKdV-ZK Equation of Weakly Nonlinear Ion-Acoustic Waves in Magnetized Electron-Positron Plasma

被引：3
|
作者：
Alabedalhadi, Mohammed [1 ]
Al-Omari, Shrideh [2 ]
Al-Smadi, Mohammed [3 ,4 ]
Alhazmi, Sharifah [5 ]
机构：
[1] Al Balqa Appl Univ, Ajloun Coll, Dept Appl Sci, Ajloun 26816, Jordan
[2] Al Balqa Appl Univ, Fac Sci, Dept Math, Amman 11134, Jordan
[3] Lusail Univ, Coll Commerce & Business, Lusail 9717, Qatar
[4] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman 20550, U Arab Emirates
[5] Al Qunfudah Univ Coll, Umm Al Qura Univ, Math Dept, Mecca 21955, Saudi Arabia
来源：
SYMMETRY-BASEL | 2023年 / 15卷 / 02期
关键词：
truncated M-fractional derivative; time-fractional mKdV-ZK equation; wave solution; ansatz method; symmetry; dynamical system; ZAKHAROV-KUZNETSOV EQUATION; STABILITY ANALYSIS; SOLITARY WAVES; SOLITONS; SYSTEM;
D O I：
10.3390/sym15020361
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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.
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页数：18
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