Finite‐amplitude Alfvén waves in a dissipative inhomogeneous plasma

1995 ◽  
Vol 2 (5) ◽  
pp. 1453-1459 ◽  
Author(s):  
S. Rauf ◽  
J. A. Tataronis
Keyword(s):  
Inhomogeneous Plasma ◽  
Finite Amplitude ◽  
Alfven Waves ◽  
Alfvén Waves

Parametric instabilities of finite-amplitude, circularly polarized Alfvén waves in an anisotropic plasma

1993 ◽  
Vol 49 (1) ◽  
pp. 29-39 ◽  
Author(s):  
Hiromitsu Hamabata
Keyword(s):  
Finite Amplitude ◽  
Alfven Waves ◽  
Mhd Equations ◽  
Alfvén Waves ◽  
Linear Perturbation ◽  
Plasma Parameters ◽  
Circularly Polarized ◽  
Pressure Anisotropy ◽  
Parametric Instabilities ◽  
Fifth Order

A class of parametric instabilities of finite-amplitude, circularly polarized Alfvén waves in a plasma with pressure anisotropy is studied by application of the CGL equations. A linear perturbation analysis is used to find the dispersion relation governing the instabilities, which is a fifth-order polynomial and is solved numerically. A large-amplitude, circularly polarized wave is unstable with respect to decay into three waves: one sound-like wave and two side-band Alfvén-like waves. It is found that, in addition to the decay instability, two new instabilities that are absent in the framework of the MHD equations can occur, depending on the plasma parameters.

Linear kinetic Alfvén waves in inhomogeneous plasma: Effects of Landau damping

2016 ◽  
Vol 113 (2) ◽  
pp. 25001 ◽  
Author(s):  
R. P. Sharma ◽  
R. Goyal ◽  
Nidhi Gaur ◽  
Earl E. Scime
Keyword(s):  
Inhomogeneous Plasma ◽  
Alfven Waves ◽  
Landau Damping ◽  
Alfvén Waves ◽  
Plasma Effects ◽  
Linear Kinetic ◽  
Kinetic Alfvén Waves

On nonlinear circularly polarized Alfvén waves

1988 ◽  
Vol 40 (2) ◽  
pp. 281-287 ◽  
Author(s):  
G. Mann
Keyword(s):  
Magnetic Field ◽  
Solar Wind ◽  
Periodic Solutions ◽  
Type Equation ◽  
Finite Amplitude ◽  
Alfven Waves ◽  
Alfvén Waves ◽  
Circularly Polarized ◽  
Ambient Magnetic Field ◽  
Nonlinear Schrödinger

Finite-amplitude circularly polarized Alfvén waves propagating along the ambient magnetic field are described by a derivative nonlinear Schrödinger-type equation. It leads to stationary, solitary and periodic solutions with phase modulations. The amplitude–width relation for these solitons is shown to be an inequality. The relevance of the results is briefly discussed for particular phenomena in the solar wind.

Resonant four-wave mixing of finite-amplitude Alfvén waves

1996 ◽  
Vol 55 (2) ◽  
pp. 173-180 ◽  
Author(s):  
S. Rauf ◽  
J. A. Tataronis
Keyword(s):  
Evolution Equations ◽  
Low Frequency ◽  
Four Wave Mixing ◽  
Finite Amplitude ◽  
Alfven Waves ◽  
Alfven Wave ◽  
Alfvén Waves ◽  
Wave Mixing ◽  
Derivative Nonlinear Schrödinger Equation ◽  
Pump Waves

Using the derivative nonlinear SchrÖdinger equation, resonant four-wave mixing of finite-amplitude Alfvén waves is explored in this paper. The evolution equations governing the amplitudes of the interacting waves and the conservation relations ale derived from the basic equation. These evolution equations are used to study parametric amplification and oscillation of two small-amplitude Alfvén waves due to two large-amplitude pump (Alfvén) waves. It is also shown that three pump waves can mix together to generate a low-frequency Alfven wave in a dissipative plasma.

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