  We consider the asymptotic behavior in time of solutions to the nonlinear
Schr"odinger equation with fourth order anisotropic dispersion (4NLS) which
describes the propagation of ultrashort laser pulses in a medium with anomalous
time-dispersion in the presence of fourth-order time-dispersion. We prove
existence of a solution to (4NLS) which scatters to a solution of the
linearized equation of (4NLS).
