New wave behaviors and stability analysis of the Gilson-Pickering equation in plasma physics

被引：49
作者：
Ali, K. K. [1 ,2 ]
Yilmazer, R. [2 ]
Baskonus, H. M. [3 ]
Bulut, H. [2 ]
机构：
[1] Univ Zakho, Dept Math, Fac Sci, Zakho, Iraq
[2] Firat Univ, Dept Math, Fac Sci, Elazig, Turkey
[3] Harran Univ, Fac Educ, Sanliurfa, Turkey
来源：
INDIAN JOURNAL OF PHYSICS | 2021年 / 95卷 / 05期
关键词：
The Gilson-Pickering equation; The sine-Gordon expansion method; Analytical wave solutions; FLUID; FLOW;
D O I：
10.1007/s12648-020-01773-9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This study investigates the Gilson-Pickering equation by using the sine-Gordon expansion method. Sine-Gordon expansion method is one of the most powerful methods for solving the nonlinear partial differential equations. We successfully construct various exact solitary wave solutions to the governing equation, such as shock wave, topological, non-topological, compound topological, and non-topological soliton wave solutions. In addition, the stability of the studied nonlinear equation is analyzed via the linear stability analysis. The 2D, 3D, and contour surfaces are also plotted for all obtained solutions.
引用
收藏
页码：1003 / 1008
页数：6
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