Analytical solutions for the (3+1)-dimensional nonlinear extended quantum Zakharov-Kuznetsov equation in plasma physics

被引:67
作者
Ali, Karmina K. [1 ,2 ]
Yilmazer, Resat [2 ]
Yokus, Asif [2 ]
Bulut, Hasan [2 ]
机构
[1] Univ Zakho, Fac Sci, Dept Math, Zakho, Iraq
[2] Firat Univ, Fac Sci, Dept Math, Elazig, Turkey
关键词
The (3+1)-dimensional extended quantum; Zakharov-Kuznetsov equation; The (1/G ')-expansion method; The Sine-Gordon expansion method; Exact solutions; SOLITARY WAVE SOLUTIONS; BEHAVIORS; EVOLUTION; FLUID;
D O I
10.1016/j.physa.2020.124327
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In the current study, we investigate the (3+1)-dimensional extended quantum Zakharov-Kuznetsov equation through two different methods namely the sine-Gordon expansion method and the (1/G ')-expansion method. The given model represent the nonlinear propagation of the quantum ion-acoustic wave. Traveling wave transformation has been used, in order to convert the governing equation into a non-linear ordinary differential equation. As a result, we successfully construct various exact wave solutions, such as shock, topological, non-topological solutions, periodic wave solutions, and singular solutions. In addition, 2D, 3D and contour surfaces are plotted according to the appropriate parameters values. (C) 2020 Elsevier B.V. All rights reserved.
引用
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页数:13
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