An Analysis of Unidimensional Soliton Gas Models of Magnetohydrodynamic Turbulence in the Solar Wind
Abstract
Two statistical models of Alfven solitons are compared whose evolution is described by the onedimensional derivative nonlinear Schroedinger (DNLS) equation, contrasting their predictions with solar wind observations. Both distribution functions give the same mean number of solitons. One of the distribution functions follows an exponential law with soliton energy and the other follows a power law; the latter gives better results than the former. Within these models, the variation of the observed spectra with the heliocentric distance can be explained. This variation is related to the radial dependence of the mean level of modulation instability in the medium.
 Publication:

The Astrophysical Journal
 Pub Date:
 January 1990
 DOI:
 10.1086/168285
 Bibcode:
 1990ApJ...348..761D
 Keywords:

 Gas Dynamics;
 Magnetohydrodynamic Turbulence;
 Magnetohydrodynamic Waves;
 Solar Wind;
 Solitary Waves;
 Autocorrelation;
 Computational Astrophysics;
 Perturbation Theory;
 Schroedinger Equation;
 Solar Magnetic Field;
 Solar Physics;
 HYDROMAGNETICS;
 SUN: SOLAR WIND