Weakly dissipative ion acoustic solitary waves in a dusty plasma: roles of dust charge variation, ion loss and ionization

2007 ◽  
Vol 73 (4) ◽  
pp. 515-521 ◽  
Author(s):  
SAMIRAN GHOSH
Keyword(s):  
Dusty Plasma ◽  
Acoustic Waves ◽  
Vries Equation ◽  
Nonlinear Propagation ◽  
Propagation Characteristics ◽  
Ion Acoustic Waves ◽  
Charge Variation ◽  
Dust Charge ◽  
Ion Acoustic ◽  
Dust Charging

AbstractThe nonlinear propagation characteristics of dust ion acoustic waves in the presence of weak dissipations arising due to the low rates (compared to the ion oscillation frequency) of ionization, ion loss and dust charging are investigated. It is found that the ion acoustic solitary wave in such a dusty plasma is weakly dissipative in nature and is governed by a modified form of the Korteweg–de Vries equation. The analytical solution reveals that the ionization has a destabilizing effect, whereas ion loss and dust charge variation play a stabilizing role to control the ionization instability.

The effects of nonadiabatic dust charge variation and ultraviolet irradiation on the modulational instability of dust ion acoustic waves

2010 ◽  
Vol 17 (11) ◽  
pp. 113701 ◽  
Author(s):  
Yunliang Wang ◽  
Chunxia Guo ◽  
Xiangqian Jiang ◽  
Zhongxiang Zhou ◽  
Xiaodong Ni ◽  
...  
Keyword(s):  
Ultraviolet Irradiation ◽  
Acoustic Waves ◽  
Modulational Instability ◽  
Ion Acoustic Waves ◽  
Charge Variation ◽  
Dust Charge ◽  
Ion Acoustic ◽  
Dust Ion Acoustic Waves

Nonlinear propagation of ion-acoustic waves and low-frequency electrostatic modes in a dusty plasma

1993 ◽  
Vol 50 (1) ◽  
pp. 37-44 ◽  
Author(s):  
U. A. Mofiz ◽  
Madhabi Islam ◽  
Zarin Ahmed
Keyword(s):  
Dusty Plasma ◽  
Acoustic Waves ◽  
Wave Scattering ◽  
Evolution Equations ◽  
Low Frequency ◽  
Nonlinear Propagation ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
Ion Acoustic Solitons

Nonlinear propagation of ion-acoustic waves and low-frequency electrostatic modes in a dusty plasma is investigated. The evolution equations of these modes are developed and solved analytically. It is found that for small grain charge usual ion-acoustic solitons may exist in a dusty plasma, but increasing grain charge destroys them and finally they may disappear. The low-frequency electrostatic mode may be localized, forming solitons, which may act as centres of wave scattering in a dusty plasma.

scholarly journals Contribution of Higher-Order Dispersion to Nonlinear Dust Ion Acoustic Waves in Inhomogeneous Mesospheric Dusty Plasma with Dust Charge Fluctuation

2010 ◽  
Vol 65 (1-2) ◽  
pp. 91-99 ◽  
Author(s):  
Mohamed T. Attia ◽  
Mohsen A. Zahran ◽  
Emad K. El-Shewy ◽  
Ahmed E. Mowafy
Keyword(s):  
Dusty Plasma ◽  
Acoustic Waves ◽  
Kdv Equation ◽  
Variable Coefficients ◽  
Higher Order ◽  
Ion Acoustic Waves ◽  
Dust Charge ◽  
Ion Acoustic ◽  
Dust Ion Acoustic Waves ◽  
Order Dispersion

AbstractThe propagation of dust ion acoustic waves (DIAWs) in a weakly inhomogeneous, weakly coupled, collisionless, and unmagnetized four components dusty plasma are examined. The fluid system considered in this work consists of cold positive ions, cold negatively and positively charged dust particles associated with isothermal electrons. For nonlinear (DIAW) waves, a reductive perturbation method was employed to obtain the variable coefficients Kortewege-de Vries (KdV) equation for the first-order potential. For local inhomogenity, the present system admits the coexistence of rarefactive and compressive solitons. As a matter of fact, when the wave amplitude enlarged, the width and velocity of the wave deviate from the prediction of the KdV equation. It means that we have to extend our analysis to obtain the variable coefficients Kortewege-de Vries (KdV) equation with fifth-order dispersion term. For locally constant parameters, the higher-order solution for the resulting equation has been achieved via what is called perturbation technique. The effects of positive and negative dust charge fluctuations on the higher-order soliton amplitude and width of electrostatic solitary structures are outlined.

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.

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.

A Modified Korteweg de Vries Equation for Ion Acoustic Waves

1974 ◽  
Vol 37 (6) ◽  
pp. 1631-1636 ◽  
Author(s):  
Kimiaki Konno ◽  
Yoshi H. Ichikawa
Keyword(s):  
Acoustic Waves ◽  
Vries Equation ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
De Vries
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