Oblique propagation of solitary waves in weakly relativistic magnetized plasma with kappa distributed electrons in the presence of negative ions

2018 ◽  
Vol 25 (3) ◽  
pp. 032102 ◽  
Author(s):  
H. Salmanpoor ◽  
M. Sharifian ◽  
S. Gholipour ◽  
M. Borhani Zarandi ◽  
B. Shokri
Keyword(s):  
Solitary Waves ◽  
Negative Ions ◽  
Magnetized Plasma ◽  
Oblique Propagation ◽  
Kappa Distributed Electrons

scholarly journals Oblique Propagation of Nonlinear Solitary Waves in Magnetized Plasma with Nonextensive Electrons

2019 ◽  
pp. 1-9
Author(s):  
Parveen Bala ◽  
Harpreet Kaur
Keyword(s):  
Solitary Waves ◽  
Kdv Equation ◽  
Reductive Perturbation Method ◽  
Magnetized Plasma ◽  
Space Plasmas ◽  
Ion Temperature ◽  
Plasma System ◽  
Positive Potential ◽  
Oblique Propagation ◽  
Nonlinear Solitary Waves

In this paper, authors have studied the properties of obliquely propagating nonlinear solitary waves in a plasma system consisting of warm ions and nonextensively distributed electrons. The nonlinear Korteweg-de-Vries (KdV) equation and its solution have been derived using the standard reductive perturbation method. The effect of ion temperature on the propagation of solitary waves has been investigated numerically. The critical value of nonextensivity at which solitary structures transit from negative to positive potential is found to shift to the lower value under the effect of finite temperature. The numerical results are interpreted graphically. The results may be useful for understanding the wave propagation in laboratory and space plasmas where magnetic field is present.

scholarly journals The collisions of two ion acoustic solitary waves in a magnetized nonextensive plasma

Open Physics ◽  
2014 ◽  
Vol 12 (11) ◽  
Author(s):  
Emad El-Shamy ◽  
Mouloud Tribeche ◽  
Wael El-Taibany
Keyword(s):  
Solitary Waves ◽  
Negative Ions ◽  
Phase Shifts ◽  
Magnetized Plasma ◽  
Nonextensive Electrons ◽  
Oblique Collision ◽  
Multicomponent Plasma ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Analytical Phase

AbstractUsing the extended Poincaré-Lighthill-Kuo (EPLK) method, the interaction between two ion acoustic solitary waves (IASWs) in a multicomponent magnetized plasma (including Tsallis nonextensive electrons) has been theoretically investigated. The analytical phase shifts of the two solitary waves after interaction are estimated. The proposed model leads to rarefactive solitons only. The effects of colliding angle, ratio of number densities of (positive/negative) ions species to the density of nonextensive electrons, ion-to-electron temperature ratio, mass ratio of the negative-to-positive ions and the electron nonextensive parameter on the phase shifts are investigated numerically. The present results show that these parameters have strong effects on the phase shifts and trajectories of the two IASWs after collision. Evidently, this model is helpful for interpreting the propagation and the oblique collision of IASWs in magnetized multicomponent plasma experiments and space observations.

Solitary waves in a dusty adiabatic electronegative plasma

2010 ◽  
Vol 76 (3-4) ◽  
pp. 409-418 ◽  
Author(s):  
A. A. MAMUN ◽  
K. S. ASHRAFI ◽  
M. G. M. ANOWAR
Keyword(s):  
Solitary Waves ◽  
Vries Equation ◽  
Negative Ions ◽  
Finite Amplitude ◽  
Reductive Perturbation Method ◽  
Charged Dust ◽  
Electronegative Plasma ◽  
Ion Acoustic ◽  
Basic Features ◽  
Electronegative Plasmas

AbstractThe dust ion-acoustic solitary waves (SWs) in an unmagnetized dusty adiabatic electronegative plasma containing inertialess adiabatic electrons, inertial single charged adiabatic positive and negative ions, and stationary arbitrarily (positively and negatively) charged dust have been theoretically studied. The reductive perturbation method has been employed to derive the Korteweg-de Vries equation which admits an SW solution. The combined effects of the adiabaticity of plasma particles, inertia of positive or negative ions, and presence of positively or negatively charged dust, which are found to significantly modify the basic features of small but finite-amplitude dust-ion-acoustic SWs, are explicitly examined. The implications of our results in space and laboratory dusty electronegative plasmas are briefly discussed.

Small amplitude nonlinear electron acoustic solitary waves in weakly magnetized plasma

2013 ◽  
Vol 20 (1) ◽  
pp. 012113 ◽  
Author(s):  
Manjistha Dutta ◽  
Samiran Ghosh ◽  
Rajkumar Roychoudhury ◽  
Manoranjan Khan ◽  
Nikhil Chakrabarti
Keyword(s):  
Solitary Waves ◽  
Small Amplitude ◽  
Magnetized Plasma ◽  
Electron 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.

Ion acoustic super solitary waves in a magnetized plasma

2018 ◽  
Vol 25 (12) ◽  
pp. 122302 ◽  
Author(s):  
T. Kamalam ◽  
S. S. Ghosh
Keyword(s):  
Solitary Waves ◽  
Magnetized Plasma ◽  
Ion Acoustic

Stability of ion-acoustic cnoidal and solitary waves in a magnetized plasma

1992 ◽  
Vol 45 (4) ◽  
pp. 358-363 ◽  
Author(s):  
K P Das ◽  
F W Sluijter ◽  
Frank Verheest
Keyword(s):  
Solitary Waves ◽  
Magnetized Plasma ◽  
Ion Acoustic

scholarly journals Anomalous width variation of rarefactive ion acoustic solitary waves in the context of auroral plasmas

2004 ◽  
Vol 11 (2) ◽  
pp. 219-228 ◽  
Author(s):  
S. S. Ghosh ◽  
G. S. Lakhina
Keyword(s):  
Solitary Waves ◽  
Nonlinear Theory ◽  
Acoustic Waves ◽  
Large Amplitude ◽  
Magnetized Plasma ◽  
Amplitude Variation ◽  
Fully Nonlinear ◽  
Weakly Nonlinear ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic

Abstract. The presence of dynamic, large amplitude solitary waves in the auroral regions of space is well known. Since their velocities are of the order of the ion acoustic speed, they may well be considered as being generated from the nonlinear evolution of ion acoustic waves. However, they do not show the expected width-amplitude correlation for K-dV solitons. Recent POLAR observations have actually revealed that the low altitude rarefactive ion acoustic solitary waves are associated with an increase in the width with increasing amplitude. This indicates that a weakly nonlinear theory is not appropriate to describe the solitary structures in the auroral regions. In the present work, a fully nonlinear analysis based on Sagdeev pseudopotential technique has been adopted for both parallel and oblique propagation of rarefactive solitary waves in a two electron temperature multi-ion plasma. The large amplitude solutions have consistently shown an increase in the width with increasing amplitude. The width-amplitude variation profile of obliquely propagating rarefactive solitary waves in a magnetized plasma have been compared with the recent POLAR observations. The width-amplitude variation pattern is found to fit well with the analytical results. It indicates that a fully nonlinear theory of ion acoustic solitary waves may well explain the observed anomalous width variations of large amplitude structures in the auroral region.

Sign in / Sign up

Export Citation Format

Share Document