Propagate Properties of (2+1)-D Spatial Dark-soliton Strips on a Parabolic Background

Abstract

An approximate solution of dark soliton on a parabolic background has been given. The parabolic beam can self-similarly evolve through the nonlinear barrier. The fundamental dark soliton strips can propagate stably, but the 2-order dark soliton strips divide into a pair of gray solitons along the propagate distance. In addition, the interaction of two parallel and cross dark soliton are considered.