Emission of nonlinear ion acoustic waves from a magnetized plasma boundary

1980 ◽  
Vol 23 (1) ◽  
pp. 147 ◽  
Author(s):  
L. Schott
Keyword(s):  
Acoustic Waves ◽  
Plasma Boundary ◽  
Magnetized Plasma ◽  
Ion Acoustic Waves ◽  
Ion Acoustic

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.

Propagation of Ion Acoustic Waves from and to a Spherical or Cylindrical Conductor

1972 ◽  
Vol 50 (5) ◽  
pp. 506-512 ◽  
Author(s):  
L. Schott
Keyword(s):  
Phase Velocity ◽  
Acoustic Waves ◽  
Fluid Model ◽  
Debye Length ◽  
Plasma Boundary ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
Analytic Expressions ◽  
Consistent Solution ◽  
Two Fluid Model

Analytic expressions for the spatial variation of the phase velocity and amplitude of ion acoustic waves propagating radially through the plasma boundary layer at a conducting sphere or cylinder are derived using the two-fluid model. The Debye length is assumed to be small compared with any relevant dimension of the problem and the wavelength small compared with the radius of the conductor. The limits of ion mean free paths small and large compared with the radius of the sphere are considered. In the cylindrical case only the collisionless limit has a self-consistent solution. It is found that both the converging and the diverging waves are damped and that the phase velocity of the wave is approximately equal to the sum of the ion acoustic velocity in a homogeneous plasma and the ion drift velocity. The contribution of Landau damping to the total damping is estimated.

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