Abstract
The effect of Landau damping on nonlinear magnetosonic waves propagating obliquely to the magnetic field in a finite beta plasma has been studied. It has been found that such magnetosonic waves owing to their interaction with resonant particles are governed by a KdV equation with a damping term. This equation has solitary wave solutions whose amplitude decays with time as (1 + τ/τ0)−2. The decay rates of both fast and slow waves have been computed numerically. The decay rates depend on plasma beta and on the angle of propagation and the rates are different for fast and slow magnetosonic waves. At a certain angle of propagation, the decay rates of both modes are equal in the case of a low beta plasma. The fast mode has a higher damping rate for higher beta and becomes practically nonexistent for nearly perpendicular angles of propagation.
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