Suppression of transverse instabilities of dark solitons and their dispersive shock waves

TL;DR

This paper demonstrates that nonlocal diffusive effects can significantly stabilize dark solitons and their dispersive shock waves in defocusing media, supported by stability analysis and numerical simulations.

Contribution

It reveals the stabilizing influence of nonlocality on transverse instabilities of dark solitons and dispersive shock waves in nonlinear optical media.

Findings

Nonlocal response stabilizes dark solitons against transverse instabilities.

Stabilization occurs in both single soliton and multisoliton regimes.

Numerical simulations confirm the linear stability analysis results.

Abstract

We investigate the impact of nonlocality, owing to diffusive behavior, on transverse instabilities of a dark stripe propagating in a defocusing cubic medium. The nonlocal response turns out to have a strongly stabilizing effect both in the case of a single soliton input and in the regime where dispersive shock waves develop "multisoliton regime". Such conclusions are supported by the linear stability analysis and numerical simulation of the propagation.