Stable two-dimensional solitons in nonlinear lattices

TL;DR

This paper demonstrates that purely nonlinear periodic lattices can stabilize two-dimensional solitons, including multipoles and vortices, in optical and matter-wave media, preventing collapse and expanding soliton stability regimes.

Contribution

It introduces a novel stabilization mechanism for 2D solitons using nonlinear lattices with saturation, supporting complex soliton structures.

Findings

Nonlinear lattices can stabilize 2D solitons against collapse.

Stable multipole and vortex solitons are supported with nonlinear saturation.

Nonlinear lattices expand the stability regimes of 2D solitons.

Abstract

We address the existence and stability of two-dimensional solitons in optical or matter-wave media, which are supported by purely nonlinear lattices in the form of a periodic array of cylinders with self-focusing nonlinearity, embedded into a linear material. We show that such lattices can stabilize two-dimensional solitons against collapse. We also found that stable multipoles and vortex solitons are also supported by the nonlinear lattices, provided that the nonlinearity exhibits saturation.