  We show that any weak solution of the Gabitov-Turitsyn equation describing
dispersion managed solitons together with its Fourier transform decay
exponentially. This strong regularity result extends a recent result of
Erdogan, Hundertmark and Lee in two directions, to arbitrary non-negative
average dispersion and, more importantly, to rather general dispersion
profiles, which cover most, if not all, physically relevant cases.
