We show that both orthogonal and parallel internal modes exist on the backg
round of a dispersion-managed (DM) soliton in randomly birefringent fibers.
The orthogonal modes exist for arbitrarily small values of the dispersion
map strength, while the parallel modes exist only when the map strength exc
eeds a certain threshold value. We demonstrate that initial perturbations o
f a DM soliton's profile that consist of one or more internal modes, exhibi
t nearly stable oscillations over very long propagation distances, before d
ecaying into radiation. (C) 2000 American Institute of Physics. [S1054-1500
(00)00303-7].