Evolution of large amplitude Alfven waves in the solar wind with Beta approximately 1

Computer Science – Sound

Scientific paper

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Magnetic Fields, Magnetohydrodynamic Waves, Polarization (Waves), Solar Wind, Sound Waves, Acoustic Velocity, Amplitudes, Wave Equations, Wave Propagation

Scientific paper

A new set of equations is obtained which describes evolution of finite amplitude, dispersive, elliptically polarized quasi-parallel Alfven waves, wehn the plasma and the wave amplitude satisfy the condition, absolute value of 1 - CS exp 2/CA exp 2 less than delta B/Bzero, where CA and CS are the Alfven and the sound speed, respectively, and delta B/Bzero is the Alfven wave amplitude normalized to the background magnetic field. When this condition is satisfied, the sound wave as well as the right- and left-hand polarized Alfven waves are nearly all degenerated. The solar wind plasma is a typical medium for the obtained set of equations to apply, since the plasma beta is high, and the solar wind Alfven waves have large amplitude. Modulational instability of a circularly polarized parallel Alfven wave is discussed.

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