Collapse arresting in an inhomogeneous two-dimensional nonlinear Schrödinger model

Collapse of (2+1)-dimensional beams in the inhomogeneous two-dimensional cubic nonlinear Schrödinger equation is analyzed numerically and analytically. It is shown that in the vicinity of a narrow attractive inhomogeneity, the collapse of beams that in a homogeneous medium would collapse may be arrested under certain circumstances.