Ion acoustic solitary wave in an inhomogeneous plasma with non-uniform temperature

Pramana ◽  
1976 ◽  
Vol 7 (3) ◽  
pp. 141-145 ◽  
Author(s):  
B N Goswami ◽  
Mukul Sinha
Keyword(s):  
Solitary Wave ◽  
Inhomogeneous Plasma ◽  
Uniform Temperature ◽  
Ion Acoustic

Effect of finite ion-temperature on ion-acoustic solitary waves in an inhomogeneous plasma

1981 ◽  
Vol 59 (6) ◽  
pp. 719-721 ◽  
Author(s):  
Bhimsen K. Shivamoggi
Keyword(s):  
Solitary Wave ◽  
Solitary Waves ◽  
Acoustic Waves ◽  
Inhomogeneous Plasma ◽  
Ion Temperature ◽  
Ion Acoustic Waves ◽  
Weakly Nonlinear ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Velocity Of Propagation

The propagation of weakly nonlinear ion–acoustic waves in an inhomogeneous plasma is studied taking into account the effect of finite ion temperature. It is found that, whereas both the amplitude and the velocity of propagation decrease as the ion–acoustic solitary wave propagates into regions of higher density, the effect of a finite ion temperature is to reduce the amplitude but enhance the velocity of propagation of the solitary wave.

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.

Influence of a finite level of ion acoustic waves on Raman gain in inhomogeneous plasma

2000 ◽  
Vol 7 (9) ◽  
pp. 3751-3761
Author(s):  
H. C. Barr ◽  
T. J. M. Boyd ◽  
A. V. Lukyanov
Keyword(s):  
Acoustic Waves ◽  
Inhomogeneous Plasma ◽  
Raman Gain ◽  
Ion Acoustic Waves ◽  
Ion Acoustic

Ion-acoustic solitary waves in an inhomogeneous plasma

1988 ◽  
Vol 40 (3) ◽  
pp. 579-583 ◽  
Author(s):  
Bhimsen K. Shivamoggi
Keyword(s):  
Theoretical Investigation ◽  
Solitary Waves ◽  
Inhomogeneous Plasma ◽  
Theoretical Approaches ◽  
Self Consistent ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Satisfactory Account ◽  
Critical Account ◽  
Consistent Treatment

Despite extensive theoretical investigation of the problem of ion-acoustic solitary waves in an inhomogeneous plasma, a fully satisfactory account has so far not been given. This paper provides a critical account of the shortcomings of the previous theoretical approaches and then describes a fully self-consistent treatment of the problem.

Stability of ion acoustic solitary waves in a magnetized plasma consisting of warm adiabatic ions and non-thermal electrons having vortex-like velocity distribution

2013 ◽  
Vol 80 (1) ◽  
pp. 89-112
Author(s):  
Jayasree Das ◽  
Anup Bandyopadhyay ◽  
K. P. Das
Keyword(s):  
Magnetic Field ◽  
Growth Rate ◽  
Solitary Wave ◽  
Velocity Distribution ◽  
Plasma Phys ◽  
Solitary Wave Solutions ◽  
Long Wavelength ◽  
Zk Equation ◽  
Wave Solutions ◽  
Ion Acoustic

AbstractSchamel's modified Korteweg-de Vries–Zakharov–Kuznetsov (S-ZK) equation, governing the behavior of long wavelength, weak nonlinear ion acoustic waves propagating obliquely to an external uniform static magnetic field in a plasma consisting of warm adiabatic ions and non-thermal electrons (due to the presence of fast energetic electrons) having vortex-like velocity distribution function (due to the presence of trapped electrons), immersed in a uniform (space-independent) and static (time-independent) magnetic field, admits solitary wave solutions having a sech4 profile. The higher order stability of this solitary wave solution of the S-ZK equation has been analyzed with the help of multiple-scale perturbation expansion method of Allen and Rowlands (Allen, M. A. and Rowlands, G. 1993 J. Plasma Phys. 50, 413; 1995 J. Plasma Phys. 53, 63). The growth rate of instability is obtained correct to the order k2, where k is the wave number of a long wavelength plane wave perturbation. It is found that the lowest order (at the order k) instability condition is strongly sensitive to the angle of propagation (δ) of the solitary wave with the external uniform static magnetic field, whereas at the next order (at the order k2) the solitary wave solutions of the S-ZK equation are unstable irrespective of δ. It is also found that the growth rate of instability up to the order k2 for the electrons having Boltzmann distribution is higher than that of the non-thermal electrons having vortex-like distribution for any fixed δ.

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