The two-fluid model of nonlinear Alfven perturbations has singular solution
s in the form of current-vortex filaments. We investigate analytically and
numerically the spectral stability of single and double rows of filaments.
Staggered and non-staggered double rows (von Karman streets) are studied. I
t is shown that in contrast to Euler and geostrophic vortices, single rows
of Alfven filaments are stable with respect to short-wavelength perturbatio
ns. Both staggered and unstaggered streets can be completely stable within
certain ranges of parameters.