Large-amplitude ion-acoustic waves in a plasma with a relativistic electron beam

1996 ◽  
Vol 56 (1) ◽  
pp. 67-76 ◽  
Author(s):  
Yasunori Nejoh
Keyword(s):  
Electron Beam ◽  
Mach Number ◽  
Relativistic Electron ◽  
Acoustic Waves ◽  
Large Amplitude ◽  
Relativistic Electron Beam ◽  
Relativistic Effect ◽  
Ion Temperature ◽  
Ion Acoustic Waves ◽  
Ion Acoustic

Nonlinear wave structures of large-amplitude ion-acoustic waves in a plasma with a relativistic electron beam are studied using the pseudopotential method. The region of existence of large-amplitude ion-acoustic waves is examined, and it is shown that the condition for their existence depends sensitively on parameters such as the relativistic effect of the electron beam, the ion temperature, the electrostatic potential and the electron beam density. It turns out that the region of existence spreads as the relativistic effect (Mach number) increases and the ion temperature decreases. New properties of large-amplitude ion-acoustic waves in a plasma with a relativistic electron beam are predicted.

Weakly relativistic effect on the modulation of nonlinear ion-acoustic waves in a warm plasma

1995 ◽  
Vol 54 (3) ◽  
pp. 295-308 ◽  
Author(s):  
S. K. El-Labany
Keyword(s):  
Perturbation Theory ◽  
Acoustic Waves ◽  
Relativistic Effect ◽  
Type Equation ◽  
Oscillatory Solution ◽  
Ion Temperature ◽  
Ion Acoustic Waves ◽  
Ion Density ◽  
Ion Acoustic ◽  
Warm Plasma

The derivative expansion perturbation method is applied to investigate the modulation of nonlinear ion-acoustic waves in a weakly relativistic warm plasma. At the second order of perturbation theory, a nonlinear Schrödingertype equation for the complex amplitude of the perturbed ion density is obtained. The coefficients in this equation show that the condition of modulational stability is modified by the relativistic effect as well as by the finite ion temperature. The association between the small-wavenumber limit of the nonlinear Schrödinger-type equation and the oscillatory solution of the Korteweg-de Vries equation obtained by reductive perturbation theory is considered. Different limits are considered in order to compare with previous work.

scholarly journals Large amplitude ion‐acoustic waves in a plasma with an electron beam

1995 ◽  
Vol 2 (11) ◽  
pp. 4122-4126 ◽  
Author(s):  
Yasunori Nejoh ◽  
Heiji Sanuki
Keyword(s):  
Electron Beam ◽  
Acoustic Waves ◽  
Large Amplitude ◽  
Ion Acoustic Waves ◽  
Ion Acoustic

scholarly journals Effects of the Dust Charge Fluctuation and Ion Temperature on Large Amplitude Ion-acoustic Waves in a Dusty Plasma

1998 ◽  
Vol 51 (1) ◽  
pp. 95 ◽  
Author(s):  
Y. N. Nejoh
Keyword(s):  
Dusty Plasma ◽  
Electrostatic Potential ◽  
Acoustic Waves ◽  
Large Amplitude ◽  
Charge Fluctuation ◽  
Ion Temperature ◽  
Ion Acoustic Waves ◽  
Dust Charge ◽  
Ion Acoustic ◽  
Dust Charge Fluctuation

The effects of the dust charge fluctuation and ion temperature on large amplitude ion-acoustic waves are investigated in a plasma with a finite population of negatively charged dust particles, by numerical calculation. The nonlinear structures of ion-acoustic waves are examined, showing that the conditions for existence sensitively depend on the effects of the variable charge of dust grains and ion temperature, electrostatic potential and Mach number. The electrostatic potential on the surface of dust grain particles increases the dust charge number. The effect of the ion temperature increases the propagation speed of the ion-acoustic wave, and decreases the dust charge number. It is found that both compressive and rarefactive solitons can propagate in this system and the criterion for both solitons depends on the ion temperature. The region for existence of large amplitude ion-acoustic waves significantly depends on the dust charging. New findings of large amplitude ion-acoustic waves with variable charge dust grains and finite ion temperature in a dusty plasma are predicted.

scholarly journals Effects of Positron Density and Temperature on Large Amplitude Ion-acoustic Waves in an Electron - Positron - Ion Plasma

1997 ◽  
Vol 50 (2) ◽  
pp. 309 ◽  
Author(s):  
Y. N. Nejoh
Keyword(s):  
Acoustic Waves ◽  
Large Amplitude ◽  
Density Ratio ◽  
Present Theory ◽  
Electron Mass ◽  
Mass Ratio ◽  
Ion Acoustic Waves ◽  
Ion Plasma ◽  
Electron Positron ◽  
Ion Acoustic

The nonlinear wave structures of large amplitude ion-acoustic waves are studied in a plasma with positrons. We have presented the region of existence of the ion-acoustic waves by analysing the structure of the pseudopotential. The region of existence sensitively depends on the positron to electron density ratio, the ion to electron mass ratio and the positron to electron temperature ratio. It is shown that the maximum Mach number increases as the positron temperature increases and the region of existence of the ion-acoustic waves spreads as the positron temperature increases. The present theory is applicable to analyse large amplitude ion-acoustic waves associated with positrons which may occur in space plasmas.

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