Two-dimensional solitons in media with stripe-shaped nonlinearity modulation.

We introduce a model of media with the cubic attractive nonlinearity concentrated along a single or double stripe in the two-dimensional (2D) plane. The model can be realized in terms of nonlinear optics (in the spatial and temporal domains alike) and BEC. It is known from recent works that search for stable 2D solitons in models with a spatially localized self-attractive nonlinearity is a challenging problem.

Simulation of a single collision of two bose-einstein condensates.

We propose a method for simulating a single realization of a collision of two Bose-Einstein condensates. Recently [Phys. Rev.