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

Author(s):  
Dong‐Ning Gao ◽  
Jian‐Peng Wu ◽  
Wen‐Shan Duan
2013 ◽  
Vol 80 (2) ◽  
pp. 235-245 ◽  
Author(s):  
Shi-Sen Ruan ◽  
Zhong-Ming Li

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.


2011 ◽  
Vol 77 (5) ◽  
pp. 617-628 ◽  
Author(s):  
A. A. MAMUN ◽  
S. S. DUHA ◽  
P. K. SHUKLA

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.


2013 ◽  
Vol 88 (1) ◽  
pp. 015501 ◽  
Author(s):  
S Akter ◽  
M M Haider ◽  
S S Duha ◽  
M Salahuddin ◽  
A A Mamun

2009 ◽  
Vol 75 (4) ◽  
pp. 475-493 ◽  
Author(s):  
M. G. M. ANOWAR ◽  
A. A. MAMUN

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.


Sign in / Sign up

Export Citation Format

Share Document