Stability of solitary kinetic Alfvén waves and ion-acoustic waves in a nonthermal plasma

2000 ◽  
Vol 7 (8) ◽  
pp. 3227-3237 ◽  
Author(s):  
Anup Bandyopadhyay ◽  
K. P. Das
Keyword(s):  
Acoustic Waves ◽  
Nonthermal Plasma ◽  
Alfven Waves ◽  
Alfvén Waves ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
Kinetic Alfvén Waves

Three-dimensional stability of solitary kinetic Alfvé waves and ion-acoustic waves

1994 ◽  
Vol 51 (1) ◽  
pp. 95-111 ◽  
Author(s):  
G. Ghosh ◽  
K. P. Das
Keyword(s):  
Dimensional Stability ◽  
Acoustic Waves ◽  
Three Dimensional ◽  
Perturbation Expansion ◽  
Alfven Waves ◽  
Alfvén Waves ◽  
Ion Acoustic Waves ◽  
Linear Dispersion ◽  
Ion Acoustic ◽  
Kinetic Alfvén Waves

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.

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