The effects of Bohm potential on ion-acoustic solitary waves interaction in a nonplanar quantum plasma

2010 ◽  
Vol 17 (8) ◽  
pp. 082307 ◽  
Author(s):  
Sheng-Chang Li
2012 ◽  
Vol 19 (5) ◽  
pp. 052306 ◽  
Author(s):  
Biswajit Sahu ◽  
Swarup Poria ◽  
Uday Narayan Ghosh ◽  
Rajkumar Roychoudhury

2017 ◽  
Vol 45 (12) ◽  
pp. 3316-3327 ◽  
Author(s):  
B. Hosen ◽  
M. G. Shah ◽  
M. R. Hossen ◽  
A. A. Mamun

2008 ◽  
Vol 56 (3-4) ◽  
pp. 510-518 ◽  
Author(s):  
Yu Zhang ◽  
Wei-Hong Yang ◽  
J.X. Ma ◽  
De-Long Xiao ◽  
You-Jun Hu

2009 ◽  
Vol 75 (5) ◽  
pp. 593-607 ◽  
Author(s):  
SK. ANARUL ISLAM ◽  
A. BANDYOPADHYAY ◽  
K. P. DAS

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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