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

TL;DR

This paper investigates how anisotropic nonlocality in 2D optical media with diffusive nonlinearity can prevent collapse and stabilize dipole-mode solitons, which are unstable in isotropic systems, using variational approximation and numerical methods.

Contribution

It demonstrates that anisotropic nonlocality can arrest collapse and stabilize dipole solitons in 2D media, a novel finding for semi-local nonlinear systems.

Findings

Collapse is arrested in semi-local 2D systems.

Anisotropic nonlocality stabilizes dipole solitons.

Fundamental and dipole solitons are characterized by VA and numerics.

Abstract

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 semi-local in the limit case of 1D diffusivity. Families of fundamental and DM solitons are found by means of the variational approximation (VA) and in a numerical form. We demonstrate that the collapse of 2D beams is arrested even in the semi-local system. The anisotropic nonlocality readily stabilizes the DM solitons, which are completely unstable in the isotropic medium.