Dressed ion acoustic soliton in an ion-beam plasma system

1988 ◽  
Vol 66 (9) ◽  
pp. 824-829 ◽  
Author(s):  
Yashvir ◽  
R. S. Tiwari ◽  
S. R. Sharma
Keyword(s):  
Ion Beam ◽  
Reductive Perturbation Method ◽  
Renormalization Procedure ◽  
Plasma System ◽  
Beam Density ◽  
Beam Velocity ◽  
Beam Plasma ◽  
Reductive Perturbation ◽  
Ion Acoustic ◽  
Ion Acoustic Soliton

Propagation of an ion-acoustic soliton in an ion-beam plasma system is studied using the renormalization procedure of Kodama and Taniuti in the reductive perturbation method and an alternative method. Expressions for the first- and second-order potentials are derived. The effects of beam velocity and beam density on the amplitude and the width of the solitons, for different ion-mass ratios, are considered. It is found that (i) the amplitude decreases with the increase of beam density, and (ii) there is a critical beam velocity, below which a stationary soliton cannot exist in an ion-beam plasma system.

Propagation of ion-acoustic solitons in a warm ion-beam—plasma system

1995 ◽  
Vol 54 (3) ◽  
pp. 285-293 ◽  
Author(s):  
S. K. El-Labany
Keyword(s):  
Perturbation Method ◽  
Ion Beam ◽  
Reductive Perturbation Method ◽  
Plasma System ◽  
Beam Plasma ◽  
Ion Acoustic ◽  
De Vries ◽  
Ion Acoustic Solitons ◽  
Renormalization Method ◽  
Secular Terms

The reductive perturbation method is employed to investigate the excitation of ion-acoustic solitons in an ion-beam—plasma system consisting of warm ions and isothermal electrons through which a warm ion beam is propagating. Korteweg—de Vries and Korteweg–de Vries-type equations are obtained for the first- and second-order perturbed potentials respectively. The renormalization method is used to remove the secular terms. It is found that both the amplitude and the width of the soliton are strongly affected by the ion temperatures as well as the velocity of the ion beam. An alternative method is used to make a comparison with the solution obtained by the perturbation method.

Boundary Effect on the Frequency of an Ion Acoustic Wave in an Ion-Beam Plasma System

1982 ◽  
Vol 51 (9) ◽  
pp. 3006-3011 ◽  
Author(s):  
Sadao Nakamura ◽  
Tetsumori Yuyama ◽  
Mikio Takeyama ◽  
Hiroshi Kubo
Keyword(s):  
Acoustic Wave ◽  
Boundary Effect ◽  
Ion Beam ◽  
Plasma System ◽  
Ion Acoustic Wave ◽  
Beam Plasma ◽  
Ion Acoustic

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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