  Recently Olesen has shown the existence of dual string solutions to the
equations of ideal Magnetohydrodynamics that describe the long wavelength
properties of electrically charged plasmas. Here, we extend these solutions to
include the case of plasmas consisting of point like dyons, which carry both
electric and magnetic charge. Such strings are dyonic in that they consist of
both magnetic and electric flux. We contrast some physical features of dyonic
plasmas with those of the purely electric or magnetic type, particularly in
relation to the validity of the ideal approximation.
