Remarks on nonlinear relation among phases and frequencies in modulational instabilities of parallel propagating Alfven waves

Physics – Plasma Physics

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17 pages, Nonlinear Processes in Geophysics (published), the paper with full resolution images is http://www.copernicus.org/

Scientific paper

Nonlinear relations among frequencies and phases in modulational instability of circularly polarized Alfven waves are discussed, within the context of one dimensional, dissipation-less, unforced fluid system. We show that generation of phase coherence is a natural consequence of the modulational instability of Alfven waves. Furthermore, we quantitatively evaluate intensity of wave-wave interaction by using bi-coherence, and also by computing energy flow among wave modes, and demonstrate that the energy flow is directly related to the phase coherence generation.

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