Collapse suppression and stabilization of dipole solitons in two-dimensional media with anisotropic semilocal nonlinearity

We consider the impact of anisotropic nonlocality on the arrest of the collapse and stabilization of dipole-mode (DM) solitons in two-dimensional (2D) models of optical media with the diffusive nonlinearity. The nonlocal nonlinearity is made anisotropic through elliptic diffusivity. The medium becomes semilocal in the limit case of 1D diffusivity. Families of fundamental and DM solitons are found by means of the variational approximation and in a numerical form. We demonstrate that the collapse of 2D beams is arrested even in the semilocal system. The anisotropic nonlocality readily stabilizes the DM solitons, which are completely unstable in the isotropic medium.