Modulational instability (MI) of electromagnetic waves in an optical f
iber near the zero dispersion point is investigated both analytical an
d numerical. The effect of fourth order dispersion is taken into accou
nt and a new region with MI is found. The possibility of MI is shown f
or the case of positive second and fourth order group dispersion. For
both positive and negative fourth order dispersion a recurrence phenom
enon is observed analogous to the Fermi-Pasta-Ulam problem.