Nonlinear Interaction of 3D Kinetic Alfvén Waves and Ion Acoustic Waves in Solar Wind Plasmas

Solar Physics ◽  
2013 ◽  
Vol 289 (5) ◽  
pp. 1803-1814 ◽  
Author(s):  
N. Yadav ◽  
R. P. Sharma
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.


2013 ◽  
Vol 79 (5) ◽  
pp. 927-931 ◽  
Author(s):  
NITIN YADAV ◽  
R. P. SHARMA

AbstractThe nonlinear interaction of kinetic Alfvén waves (KAWs) with other possible plasma modes is considered to be responsible for the observed solar wind turbulent spectrum. In the present paper, a new channel of interaction between a KAW and an obliquely propagating Alfvén wave (AW) has been proposed. The governing dynamical equations are derived and the nonlinear interaction between the two wave modes KAW and AW is studied. The growth rate of modulational instability has been calculated. The nonlinear evolution of KAW filamentation and turbulent spectra has also been discussed. In the inertial range, energy cascade follows nearly Kolmogorov scaling, and after inertial range it follows −2.5 scaling in dispersive range. The obtained results indicate that the proposed mechanism may be responsible for transferring the energy from smaller wavenumbers to larger wavenumbers in the solar wind plasmas. The relevance of the present study with recent Cluster spacecraft observations has also been pointed out.


2016 ◽  
Vol 23 (8) ◽  
pp. 082901 ◽  
Author(s):  
T. Sreeraj ◽  
S. V. Singh ◽  
G. S. Lakhina

1978 ◽  
Vol 83 (A1) ◽  
pp. 58-74 ◽  
Author(s):  
D. A. Gurnett ◽  
L. A. Frank

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