On modulation instability of nonlinear Alfven waves

Details On modulation instability of nonlinear Alfven waves On modulation instability of nonlinear Alfven waves

Aug 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992r%26qe...35..424z&link_type=abstract

Radiophysics and Quantum Electronics, Volume 35, Issue 8, pp.424-428

Physics

Scientific paper

The modulation instability of nonlinear Alfven waves in high-temperature plasma with βe ≈ βi = 1 with allowance for resonance particles is discussed. A dispersion equation is derived for longitudinal perturbations and instability increments in regions æ << æ{0/*}, æ >> æ{0/*}, and æ ≈ æ{0/*}. For short-wave perturbations æ >> æ{0/*}, the dispersion equation leads to the well-known formula for the Landau coefficient of nonlinear decay. As an example of application of the obtained formulas, the correlation and cross-correlation functions are calculated for perturbations of the transverse magnetic-field component of nonlinear Alfven waves propagated along the magnetic field.

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