Solitons in an ion-beam plasma

1990 ◽  
Vol 44 (1) ◽  
pp. 151-165 ◽  
Author(s):  
Lan Huibin ◽  
Wang Kelin
Keyword(s):  
Exact Solution ◽  
Solitary Wave ◽  
General Condition ◽  
Upper Bound ◽  
Ion Beam ◽  
Finite Amplitude ◽  
Plasma Model ◽  
Function Series ◽  
Series Form ◽  
Beam Plasma

In this paper the exact solution in a function-series form is given of the multi-fluid ion-beam plasma model proposed by Zank & McKenzie. The general condition necessary for the existence of finite-amplitude solitons propagating in the system is obtained and the upper bound on the velocity of solitary wave is found.

Finite amplitude waves in ion-beam plasma systems

1994 ◽  
Vol 190 (5-6) ◽  
pp. 460-464 ◽  
Author(s):  
S.I. Popel ◽  
Klaus Elsässer
Keyword(s):  
Ion Beam ◽  
Finite Amplitude ◽  
Beam Plasma ◽  
Finite Amplitude Waves

Solitons in an ion-beam plasma

1988 ◽  
Vol 39 (2) ◽  
pp. 183-191 ◽  
Author(s):  
G. P. Zank ◽  
J. F. McKenzie
Keyword(s):  
Ion Beam ◽  
Finite Amplitude ◽  
Total Momentum ◽  
Plasma System ◽  
Weakly Nonlinear ◽  
Classical Energy ◽  
Convective Instabilities ◽  
Beam Plasma ◽  
Solitary Pulse ◽  
Wave Profiles

It is shown that the conservation law for total momentum of an ion-beam plasma system can be cast in the form of a classical energy integral of a particle in a potential well. By using boundary conditions appropriate to a solitary pulse, we derive conditions for the existence of finite-amplitude solitons propagating in the system. Under suitable conditions, as many as three forward-propagating solitary waves can exist. It is interesting to note that the criterion for their existence is intimately related to the absence of convective instabilities in an ion-beam plasma. Exact ‘sech2’ type solutions are available in the weakly nonlinear regime. Solitary-wave profiles for the general case are obtained numerically.

Solitary waves in an ion-beam-plasma system

1995 ◽  
Vol 53 (2) ◽  
pp. 235-243 ◽  
Author(s):  
Y. Nakamura ◽  
K. Ohtani
Keyword(s):  
Solitary Wave ◽  
Solitary Waves ◽  
Acoustic Waves ◽  
Ion Beam ◽  
Slow Mode ◽  
Plasma System ◽  
Ion Acoustic Wave ◽  
Beam Plasma ◽  
Ion Acoustic ◽  
Beam Mode

Solitary waves in an ion-beam-plasma system are investigated theoretically using the pseudo-potential method, including finite temperatures of plasma ions and beam ions. The beam velocity is high enough to avoid ion-ion instability. Three kinds of solitary waves are possible, corresponding to ion- acoustic waves and to fast and slow space-charge waves in the beam. To observe the formation of solitary waves from an initial positive pulse, numerical simulations are performed. For the slow beam mode, a smaller solitary wave appears at the leading part of the pulse, which is a result of negative nonlinearity and anomalous dispersion of the slow mode, and is the opposite behaviour to the cases of the ion-acoustic wave and to the fast beam mode. Overtaking collisions of a solitary wave with a fast-mode solitary wave or with a slow-mode solitary wave are simulated.

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