Nonlinear ion-acoustic waves in a magnetized plasma and the Zakharov-Kuznetsov equation

1989 ◽  
Vol 41 (1) ◽  
pp. 83-88 ◽  
Author(s):  
Bhimsen K. Shivamoggi
Keyword(s):  
Acoustic Waves ◽  
Good Description ◽  
Magnetized Plasma ◽  
Stability Of Solutions ◽  
Solitary Wave Solutions ◽  
Ion Acoustic Waves ◽  
Wave Solutions ◽  
Ion Acoustic ◽  
Analytical Properties ◽  
The Magnetic Field

We consider here the nonlinear development of ion-acoustic waves in a magnetized plasma, and give a further discussion of the analytical properties of the Zakharov-Kuznestov equation that governs the latter problem. First we discuss the solitary-wave solutions and show that they give a good description of recent experimental results about the manner in which the magnetic field influences the solitary waves. We then exhibit recurrence and Lagrange stability of solutions of the Zakharov-Kuznestov equation.

Dynamics of localized ion-acoustic waves in a magnetized plasma

1988 ◽  
Vol 31 (8) ◽  
pp. 2190 ◽  
Author(s):  
S. Qian ◽  
W. Lotko ◽  
M. K. Hudson
Keyword(s):  
Acoustic Waves ◽  
Magnetized Plasma ◽  
Ion Acoustic Waves ◽  
Ion Acoustic

scholarly journals Abundant novel solitary wave Solutions of two-mode Sawada-Kotera model and its Applications

2021 ◽  
Author(s):  
Ammar Oad ◽  
Muhammad Arshad ◽  
Muhammad Shoaib ◽  
Dianchen Lu ◽  
Li Xiaohong
Keyword(s):  
Applied Sciences ◽  
Fluid Dynamics ◽  
Solitary Wave ◽  
Acoustic Waves ◽  
Linear Wave ◽  
Solitary Wave Solutions ◽  
Ion Acoustic Waves ◽  
Wave Solutions ◽  
Physical Phenomena ◽  
Wave Phenomena

The Sawada-Kotera equations illustrating the non-linear wave phenomena in shallow water, ion-acoustic waves in plasmas, fluid dynamics etc. In this article, the two-mode Sawada-Kotera equation (tmSKE) occurring in fluid dynamics is addresses. The improved F-expansion and generalized exp$(-\phi(\zeta))$-expansion methods are utilized in this model and abundant of solitary wave solutions of different kinds such as bright and dark solitons, multi peak soliton, breather type waves, periodic solutions and other wave results are obtained. These achieved abundant novel solitary and other wave results have significant applications in fluid dynamics, applied sciences and engineering. By granting appropriate values to parameters, the structures of few results are presented in which many structures are novel. The graphical moments of few solutions helps the engineers and scientist for understanding the physical phenomena of this model. To explain the novelty between the present results and the previously attained results, a comparative study has been carried out. Furthermore, the executed techniques can be employed for further studies to explain the realistic phenomena arising in fluid dynamics correlated with any physical and engineering problems.

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