Exponential Decay for dispersion managed solitons for general dispersion   profiles
  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. 
William R. Green and Dirk Hundertmark
math.AP math-ph math.MP