Evolution of high amplitude Alfven waves near a bow shock

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cyclotron Resonance, Ion Cyclotron Radiation, Magnetohydrodynamic Waves, Radiation Absorption, Viscosity, Wave Equations, Bow Waves, Damping, Nonlinear Equations, Schroedinger Equation, Shock Waves, Wave Dispersion

Scientific paper

A model based on the derivative nonlinear Shroedinger equation is used to describe high amplitude parallel propagating Alfven and fast magnetosonic waves subjects to nonlinearity and dispersion. The damping mechanisms considered are either model viscosity or ion cyclotron-resonance absorption. This equation was solved numerically and several types of solutions were obtained as functions of the growth rate and dispersion values as well as a type of dissipation. The application of these results to magnetohydrodynamic wave observations upstream of the comet's bow shock is considered. Nevertheless, the question of the stability of steep front solutions seems to be not yet settled.

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