Roles of positively charged heavy ions and degenerate plasma pressure on cylindrical and spherical ion acoustic solitary waves

2014 ◽  
Vol 353 (1) ◽  
pp. 123-130 ◽  
Author(s):  
M. R. Hossen ◽  
L. Nahar ◽  
S. Sultana ◽  
A. A. Mamun
Keyword(s):  
Solitary Waves ◽  
Heavy Ions ◽  
Plasma Pressure ◽  
Degenerate Plasma ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Positively Charged

scholarly journals Planar and Nonplanar Solitary Waves in a Four-Component Relativistic Degenerate Dense Plasma

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
M. R. Hossen ◽  
L. Nahar ◽  
A. A. Mamun
Keyword(s):  
Solitary Waves ◽  
Heavy Ions ◽  
Solitary Wave Solution ◽  
Spherical Geometry ◽  
Plasma Pressure ◽  
Reductive Perturbation Method ◽  
Compact Objects ◽  
Nonlinear Propagation ◽  
Degenerate Plasma ◽  
Ion Acoustic

The nonlinear propagation of electrostatic perturbation modes in an unmagnetized, collisionless, relativistic, degenerate plasma (containing both nonrelativistic and ultrarelativistic degenerate electrons, nonrelativistic degenerate ions, and arbitrarily charged static heavy ions) has been investigated theoretically. The Korteweg-de Vries (K-dV) equation has been derived by employing the reductive perturbation method. Their solitary wave solution is obtained and numerically analyzed in case of both planar and nonplanar (cylindrical and spherical) geometry. It has been observed that the ion-acoustic (IA) and modified ion-acoustic (mIA) solitary waves have been significantly changed due to the effects of degenerate plasma pressure and number densities of the arbitrarily charged heavy ions. It has been also found that properties of planar K-dV solitons are quite different from those of nonplanar K-dV solitons. There are numerous variations in case of mIA solitary waves due to the polarity of heavy ions. The basic features and the underlying physics of IA and mIA solitary waves, which are relevant to some astrophysical compact objects, are briefly discussed.

Numerical study of dust-ion-acoustic solitary waves in an inhomogeneous plasma

2008 ◽  
Vol 56 (3-4) ◽  
pp. 510-518 ◽  
Author(s):  
Yu Zhang ◽  
Wei-Hong Yang ◽  
J.X. Ma ◽  
De-Long Xiao ◽  
You-Jun Hu
Keyword(s):  
Solitary Waves ◽  
Numerical Study ◽  
Inhomogeneous Plasma ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic

Stability of ion–acoustic solitary waves in a multi-species magnetized plasma consisting of non-thermal and isothermal electrons

2009 ◽  
Vol 75 (5) ◽  
pp. 593-607 ◽  
Author(s):  
SK. ANARUL ISLAM ◽  
A. BANDYOPADHYAY ◽  
K. P. DAS
Keyword(s):  
Stability Analysis ◽  
Solitary Wave ◽  
Solitary Waves ◽  
Perturbation Expansion ◽  
Magnetized Plasma ◽  
Wave Number ◽  
First Order ◽  
Zk Equation ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic

AbstractA theoretical study of the first-order stability analysis of an ion–acoustic solitary wave, propagating obliquely to an external uniform static magnetic field, has been made in a plasma consisting of warm adiabatic ions and a superposition of two distinct populations of electrons, one due to Cairns et al. and the other being the well-known Maxwell–Boltzmann distributed electrons. The weakly nonlinear and the weakly dispersive ion–acoustic wave in this plasma system can be described by the Korteweg–de Vries–Zakharov–Kuznetsov (KdV-ZK) equation and different modified KdV-ZK equations depending on the values of different parameters of the system. The nonlinear term of the KdV-ZK equation and the different modified KdV-ZK equations is of the form [φ(1)]ν(∂φ(1)/∂ζ), where ν = 1, 2, 3, 4; φ(1) is the first-order perturbed quantity of the electrostatic potential φ. For ν = 1, we have the usual KdV-ZK equation. Three-dimensional stability analysis of the solitary wave solutions of the KdV-ZK and different modified KdV-ZK equations has been investigated by the small-k perturbation expansion method of Rowlands and Infeld. For ν = 1, 2, 3, the instability conditions and the growth rate of instabilities have been obtained correct to order k, where k is the wave number of a long-wavelength plane-wave perturbation. It is found that ion–acoustic solitary waves are stable at least at the lowest order of the wave number for ν = 4.

Effect of ion temperature on ion-acoustic solitary waves in a two-ion plasma

1988 ◽  
Vol 66 (6) ◽  
pp. 467-470 ◽  
Author(s):  
Sikha Bhattacharyya ◽  
R. K. Roychoudhury
Keyword(s):  
Mach Number ◽  
Analytical Solution ◽  
Solitary Waves ◽  
Experimental Result ◽  
Ion Temperature ◽  
Ion Plasma ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Cold Ions ◽  
Pseudopotential Approach

The effect of ion temperature on ion-acoustic solitary waves in the case of a two-ion plasma has been investigated using the pseudopotential approach of Sagdeev. An analytical solution for relatively small amplitudes has also been obtained. Our result has been compared, whenever possible, with the experimental result obtained by Nakamura. It is found that a finite ion temperature considerably modifies the restrictions on the Mach number obtained for cold ions.

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