Dust ion acoustic solitary wave in weakly relativistic dusty plasma with non-thermal ions

2019 ◽  
Author(s):  
Archana Patidar ◽  
Prerana Sharma
Keyword(s):  
Solitary Wave ◽  
Dusty Plasma ◽  
Ion Acoustic

scholarly journals Characteristics of ion-acoustic solitary wave in a laboratory dusty plasma under the influence of ion-beam

2012 ◽  
Vol 19 (10) ◽  
pp. 103704 ◽  
Author(s):  
M. K. Deka ◽  
N. C. Adhikary ◽  
A. P. Misra ◽  
H. Bailung ◽  
Y. Nakamura
Keyword(s):  
Solitary Wave ◽  
Dusty Plasma ◽  
Ion Beam ◽  
Ion Acoustic

The width of the solitary wave in dusty plasma

2016 ◽  
Vol 82 (1) ◽  
Author(s):  
Behrooz Malekolkalami ◽  
Amjad Alipanah
Keyword(s):  
Continuous Function ◽  
Solitary Wave ◽  
Dusty Plasma ◽  
Computer Algebra ◽  
Function Versus ◽  
Potential Method ◽  
Sagdeev Potential ◽  
Plasma Parameters ◽  
Width Function ◽  
Ion Acoustic

The Sagdeev potential method is employed to compute the width of the ion-acoustic solitary wave propagated in a dusty plasma containing three components (dust–ion–electron). The results indicate that the width is a continuous function over the allowable ranges of plasma parameters. The complexity of the resulting equations is an obstacle to the expression of the width function in an explicit form in terms of the parameters. Thus, computer algebra is needed to plot the graph of the width function versus the parameters, which helps us to understand the width changes as the parameters change.

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.

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