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

2008 ◽  
Vol 74 (2) ◽  
pp. 197-205 ◽  
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.

scholarly journals Nonlinear propagation of ion acoustic waves in quantum plasma in the presence of an ion beam

2019 ◽  
Vol 37 (4) ◽  
pp. 370-380 ◽  
Author(s):  
Indrani Paul ◽  
Arkojyothi Chatterjee ◽  
Sailendra Nath Paul
Keyword(s):  
Solitary Waves ◽  
Acoustic Waves ◽  
Ion Beam ◽  
Perturbation Technique ◽  
Nonlinear Propagation ◽  
Quantum Plasma ◽  
Plasma Parameters ◽  
Ion Acoustic Waves ◽  
Quantum Hydrodynamic Model ◽  
Ion Acoustic

AbstractNonlinear propagation of ion acoustic waves has been studied in unmagnetized quantum (degenerate) plasma in the presence of an ion beam using the one-dimensional quantum hydrodynamic model. The Korteweg–de Vries (K–dV) equation has been derived by using the reductive perturbation technique. The solution of ion acoustic solitary waves is obtained from the K–dV equation. The theoretical results have been analyzed numerically for different values of plasma parameters and the results are presented graphically. It is seen that the formation and structure of solitary waves are significantly affected by the ion beam in quantum plasma. The solitary waves will be compressive or rarefactive depending upon the values of velocity, concentration, and temperature of the ion beam. The critical value of ion beam density for the nonexistence of solitary wave has been numerically estimated, and its variation with velocity and temperature of ion beam has been discussed graphically. The results are new and would be very useful for understanding the beam–plasma interactions and the formation of nonlinear wave structures in dense quantum plasma.

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

2010 ◽  
Vol 77 (1) ◽  
pp. 95-106 ◽  
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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