This article studies two coupled nonlinear Schrodinger equations that
govern the pulse propagation in weakly birefringent nonlinear optical
fibers. The coherent structures for these equations, such as vector so
litons and localized oscillating solutions, are studied analytically a
nd numerically. Three types of localized oscillating structures are id
entified and their functional forms determined by perturbation methods
. In some of these structures, infinite oscillating tails are present.
The implications of these tails are also discussed.