scholarly journals Three-dimensional nonlinear modified Zakharov–Kuznetsov equation of ion-acoustic waves in a magnetized plasma

2016 ◽  
Vol 71 (1) ◽  
pp. 201-212 ◽  
Author(s):  
Aly R. Seadawy
Keyword(s):  
Acoustic Waves ◽  
Three Dimensional ◽  
Magnetized Plasma ◽  
Ion Acoustic Waves ◽  
Ion Acoustic

Three-dimensional stability of ion-acoustic solitary waves in a magnetized plasma consisting of non-isothermal electrons

1998 ◽  
Vol 59 (2) ◽  
pp. 333-342 ◽  
Author(s):  
G. GHOSH ◽  
K. P. DAS
Keyword(s):  
Stability Analysis ◽  
Solitary Wave ◽  
Acoustic Waves ◽  
Solitary Wave Solution ◽  
Three Dimensional ◽  
Perturbation Expansion ◽  
Mkdv Equation ◽  
Magnetized Plasma ◽  
Ion Acoustic Waves ◽  
Ion Acoustic

A stability analysis is performed for solitary ion-acoustic waves in a magnetized plasma in which the electrons are non-isothermal. Including the effect of ion drift velocity and magnetic perturbation, a three-dimensional mKdV equation is derived for ion-acoustic waves. The solitary-wave solution of this equation is found to have a sech4 profile. A stability analysis of this solitary wave is performed using the small-k perturbation expansion method of Rowlands and Infeld. A condition for the onset of instability is obtained. The growth rate of the instability is found to attain a maximum for perturbations in the plane perpendicular to the direction of propagation of the solitary wave.

Stability and instability of some nonlinear dispersive solitary waves in higher dimension

1996 ◽  
Vol 126 (1) ◽  
pp. 89-112 ◽  
Author(s):  
Anne de Bouard
Keyword(s):  
Solitary Waves ◽  
Acoustic Waves ◽  
Vries Equation ◽  
Three Dimensional ◽  
Higher Dimension ◽  
Ion Acoustic Waves ◽  
Stability And Instability ◽  
Ion Acoustic ◽  
De Vries ◽  
The Stability

We study the stability of positive radially symmetric solitary waves for a three dimensional generalisation of the Korteweg de Vries equation, which describes nonlinear ion-acoustic waves in a magnetised plasma, and for a generalisation in dimension two of the Benjamin–Bona–Mahony 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

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.

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