Transverse instability and dynamics of nonlocal bright solitons

TL;DR

This paper analyzes the transverse instability of bright soliton stripes in nonlocal media, deriving analytical corrections and demonstrating how nonlocality suppresses instability, supported by numerical simulations.

Contribution

It provides the first analytical derivation of the correction to soliton shape and shows how nonlocality influences the instability timescale.

Findings

Nonlocality suppresses transverse instability.

Analytical correction to soliton shape derived.

Numerical simulations confirm analytical predictions.

Abstract

We study the transverse instability and dynamics of bright soliton stripes in two-dimensional nonlocal nonlinear media. Using a multiscale perturbation method, we derive analytically the first-order correction to the soliton shape, which features an exponential growth in time -- a signature of the transverse instability. The soliton's characteristic timescale associated with its exponential growth,is found to depend on the square root of the nonlocality parameter. This, in turn, highlights the nonlocality-induced suppression of the transverse instability. Our analytical predictions are corroborated by direct numerical simulations, with the analytical results being in good agreement with the numerical ones.