Higher order nonlinear and dispersive effects for kinetic Alfvén waves and ion-acoustic waves

1995 ◽  
Vol 52 (1) ◽  
pp. 80-85 ◽  
Author(s):  
G Ghosh ◽  
K P Das
1994 ◽  
Vol 51 (1) ◽  
pp. 95-111 ◽  
Author(s):  
G. Ghosh ◽  
K. P. Das

Starting from a set of equations that lead to a linear dispersion relation coupling kinetic Alfvén waves and ion-acoustic waves, three-dimensional KdV equations are derived for these waves. These equations are then used to investigate the three-dimensional stability of solitary kinetic Alfvén waves and ion-acoustic waves by the small-k perturbation expansion method of Rowlands and Infeld. For kinetic Alfvén waves it is found that there is instability if the direction of the plane-wave perturbation lies inside a cone, and the growth rate of the instability attains a maximum when the direction of the perturbation lies in the plane containing the external magnetic field and the direction of propagation of the solitary wave.


2011 ◽  
Author(s):  
M. Mehdipoor ◽  
Muhammed Hasan Aslan ◽  
Ahmet Yayuz Oral ◽  
Mehmet Özer ◽  
Süleyman Hikmet Çaglar

2020 ◽  
Vol 72 (5) ◽  
pp. 055501
Author(s):  
S M Ahmed ◽  
E R Hassib ◽  
U M Abdelsalam ◽  
R E Tolba ◽  
W M Moslem

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