The long time behavior of a finite amplitude shear Alfven wave in a warm plasma
Abstract
The longtime behavior of a monochromatic finiteamplitude shear Alfven wave is studied by means of the KrylovBogoliubovMitropolsky (1961) perturbation technique. The plasma model is assumed to be described by the linearly nondispersive ideal magnetohydrodynamic equations. Nonlinear coupling between the Alfven pump wave and a free sound wave gives rise to forced magnetic sidebands. It is shown that the Alfven pump wave as well as the magnetic sidebands steepen up in the longtime scale.
 Publication:

Plasma Physics
 Pub Date:
 October 1976
 DOI:
 10.1088/00321028/18/10/007
 Bibcode:
 1976PlPh...18..809I
 Keywords:

 Ion Acoustic Waves;
 Magnetohydrodynamic Stability;
 Magnetohydrodynamic Waves;
 Perturbation Theory;
 S Waves;
 Sound Waves;
 Hydrodynamic Equations;
 Mathematical Models;
 Plasma Temperature;
 Polarization (Waves);
 Schroedinger Equation;
 Time Dependence;
 Wave Propagation;
 Plasma Physics