Three-dimensional nonlinear evolution equations of an electrostatic io
n wave in the short wave region in a magnetized plasma are derived by
means of the reductive perturbation method. It is shown that, in some
cases, the evolution equations reduce to the Davey-Stewartson 1 equati
ons, which are known to admit solutions with localized structure in hi
gher dimension. It is also shown that there is a possibility of collap
se of localized structure in the case of wave propagation parallel to
a magnetic field.