Self-trapping of necklace beams in self focusing Kerr media

Summary form only given. Solitons of the cubic nonlinear Schrodinger equation (NLSE) are probably the most studied solitons in nature. One of the reasons is the mathematical elegance and simplicity of this equation. But another more important reason is the vast number of physical systems that can be described by this equation. Single polarization envelope waves propagating in isotropic materials, when only the lowest order nonlinearity matters most often obey this equation. In optics, the cubic NLSE models temporal solitons in optical fibers, and low intensity solitons of all dimensions in any centrosymmetric media. Here, we present numerical simulations demonstrating the existence of what is to the best of our knowledge the first ever described (2+1)D self-trapped family of stable bright beams in the (2+1)D cubic NLSE.