Multi‐dimensional instability of electrostatic solitary waves in a warm multi‐ion dust plasma

2021 ◽  
Author(s):  
Dong‐Ning Gao ◽  
Jian‐Peng Wu ◽  
Wen‐Shan Duan
Keyword(s):  
Solitary Waves ◽  
Dimensional Instability ◽  
Dust Plasma

Head-on collision of dust magnetoacoustic solitary waves in magnetized plasmas

2013 ◽  
Vol 80 (2) ◽  
pp. 235-245 ◽  
Author(s):  
Shi-Sen Ruan ◽  
Zhong-Ming Li
Keyword(s):  
Solitary Waves ◽  
Magnetic Field Intensity ◽  
Acoustic Velocity ◽  
Number Density ◽  
Ion Temperature ◽  
Component Plasma ◽  
The Magnetic Field ◽  
Dust Surface ◽  
Dust Plasma ◽  
Alfven Velocity

AbstractThe head-on collision of dust magnetoacoustic solitary waves (DMASWs) is studied in magnetized electron–ion–dust plasma. The extended Poincaré–Lighthill–Kuo perturbation method is used to derive the Korteweg de Vries equations for DMASWs in this three-component plasma. The effects of the magnetic field intensity B0, the number of electrons residing on dust surface Zd, the ratio of electron to dust number density δ, the ratio of electron to ion temperature σ, and the ratio of dust acoustic velocity to dust Alfvén velocity β on the phase shift are investigated. It is found that these parameters can significantly influence the phase shifts of colliding DMASWs. The present investigation may be beneficial to understand the interaction between two DMASWs that may occur in plasma with dust impurities situations.

Multi-dimensional instability of solitary waves in ultra-relativistic degenerate dense magnetized plasma

2011 ◽  
Vol 77 (5) ◽  
pp. 617-628 ◽  
Author(s):  
A. A. MAMUN ◽  
S. S. DUHA ◽  
P. K. SHUKLA
Keyword(s):  
Solitary Waves ◽  
Numerical Solutions ◽  
Perturbation Expansion ◽  
Reductive Perturbation Method ◽  
Magnetized Plasma ◽  
Expansion Technique ◽  
Special Cases ◽  
Astrophysical Objects ◽  
Basic Features ◽  
Dimensional Instability

AbstractThe basic features and multi-dimensional instability of electrostatic solitary waves propagating in an ultra-relativistic degenerate dense magnetized plasma have been investigated by the reductive perturbation method and the small-k perturbation expansion technique. The Zakharov–Kuznetsov (ZK) equation has been derived, and its numerical solutions for some special cases have been analysed to identify the basic features (viz. amplitude, width, instability, etc.) of these electrostatic solitary structures. The implications of our results in some compact astrophysical objects, particularly white dwarfs and neutron stars, have been briefly discussed.

Multi-dimensional instability of multi-ion acoustic solitary waves in a degenerate magnetized plasma

2013 ◽  
Vol 88 (1) ◽  
pp. 015501 ◽  
Author(s):  
S Akter ◽  
M M Haider ◽  
S S Duha ◽  
M Salahuddin ◽  
A A Mamun
Keyword(s):  
Solitary Waves ◽  
Magnetized Plasma ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Dimensional Instability

Multi-dimensional instability of dust-ion-acoustic solitary waves in a multi-ion dusty plasma

2009 ◽  
Vol 75 (4) ◽  
pp. 475-493 ◽  
Author(s):  
M. G. M. ANOWAR ◽  
A. A. MAMUN
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Dusty Plasma ◽  
Solitary Waves ◽  
Perturbation Expansion ◽  
Negative Ions ◽  
Dusty Plasmas ◽  
Instability Criterion ◽  
Ion Acoustic ◽  
Dimensional Instability

AbstractThe basic features of obliquely propagating dust-ion-acoustic (DIA) solitary waves, and their multi-dimensional instability in a magnetized multi-ion dusty plasma containing hot adiabatic inertia-less electrons, cold positive and negative ions, and negatively charged static dust have been theoretically investigated by the reductive perturbation method, and the small-k perturbation expansion technique. The combined effects of electron adiabaticity, external magnetic field (obliqueness), and negative ions, which are found to significantly modify the basic properties (speed, amplitude, width, and instability) of small but finite-amplitude DIA solitary waves, are explicitly examined. It is also found that the instability criterion and the growth rate are significantly modified by the external magnetic field, the propagation directions of both the nonlinear waves and their perturbation modes, and the presence of negative ions. The implications of our results in space and laboratory dusty plasmas are briefly discussed.

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