Nonlinear Propagation of Dust-Ion-Acoustic Waves in a Degenerate Dense Plasma

AbstractA theoretical investigation on the nonlinear propagation of ion-acoustic waves in a degenerate dense plasma has been made by employing the reductive perturbation method. The Burger's equation has been derived, and numerically analyzed. The basic features of electrostatic shock structures have been examined. It has been shown that the plasma system under consideration supports the propagation of electrostatic shock structures. The implications of our results (obtained from this investigation) in compact astrophysical objects have been briefly discussed.

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Time-Dependent Cylindrical and Spherical Solitary Structures and Double Layers of Dust Ion-Acoustic Waves in Ultra-Relativistic Dense Plasma

Communications in Theoretical Physics ◽

10.1088/0253-6102/59/6/16 ◽

2013 ◽

Vol 59 (6) ◽

pp. 745-750 ◽

Cited By ~ 20

Author(s):

T. Akhter ◽

M.M. Hossain ◽

A.A. Mamun

Keyword(s):

Acoustic Waves ◽

Dense Plasma ◽

Time Dependent ◽

Double Layers ◽

Ion Acoustic Waves ◽

Solitary Structures ◽

Ion Acoustic ◽

Dust Ion Acoustic Waves

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The dust ion acoustic waves propagation in collisional dusty plasmas with dust charge fluctuations: Effect of ion loss and ionization

Journal of Plasma Physics ◽

10.1017/s0022377810000012 ◽

2010 ◽

Vol 77 (1) ◽

pp. 95-106 ◽

Cited By ~ 5

Author(s):

S. K. EL-LABANY ◽

M. SHALABY ◽

E. F. EL-SHAMY ◽

M. A. KHALED

Keyword(s):

Solitary Waves ◽

Acoustic Waves ◽

Dusty Plasmas ◽

Nonlinear Propagation ◽

Charge Fluctuation ◽

Dust Grains ◽

Ion Acoustic Waves ◽

Ion Acoustic ◽

De Vries ◽

Dust Ion Acoustic Waves

AbstractIn the present research paper, the nonlinear propagation of dust ion acoustic solitary waves in a collisional dusty plasma, which consists of negatively charged small dust grains, positively charged ions and isothermal electrons with background neutral particles, is investigated. The low rates compared to the ion oscillation frequency, of the charge-fluctuation dynamics of the dust grains, the ionization, ion-neutral and dust-neutral collisions (i.e. weak dissipations) are considered. Using the reductive perturbation theory, a damped Korteweg-de Vries (DKdV) equation is derived. On the other hand, the dynamics of solitary waves at a critical phase velocity is governed by a damped modified Korteweg-de Vries (DMKdV) equation. The nonlinear properties of dust ion acoustic waves in the presence of weak dissipations in the two cases are discussed.

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Nonlinear propagation of dust ion-acoustic waves in a dusty quantum magnetoplasma

Journal of Plasma Physics ◽

10.1017/s0022377807006745 ◽

2008 ◽

Vol 74 (2) ◽

pp. 197-205 ◽

Cited By ~ 9

Author(s):

AMAR P. MISRA ◽

S. SAMANTA ◽

A. R. CHOWDHURY

Keyword(s):

Acoustic Waves ◽

Perturbation Technique ◽

Nonlinear Propagation ◽

Quantum Plasma ◽

Charged Dust ◽

Ion Acoustic Waves ◽

Dimensional Parameter ◽

Ion Acoustic ◽

Dust Ion Acoustic Waves ◽

Quantum Mechanical Effects

AbstractA quantum magnetohydrodynamic model is used to investigate the nonlinear propagation of dust ion-acoustic waves in a three-component quantum plasma composed of electrons, positively charged ions and immobile charged dust grains. Using the standard reductive perturbation technique, a Korteweg–de Vries equation is derived containing the quantum statistical and diffraction effects. There exists a critical value of the non-dimensional parameter H, proportional to the quantum diffraction, beyond which the bright soliton propagation is not possible with positive phase velocity. The effects of obliqueness, charged dust impurity and external magnetic field as well as the quantum mechanical effects are investigated numerically on the profiles of the amplitude and width of the solitary waves.

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