Soliton transverse instabilities in nonlocal nonlinear media

TL;DR

This paper investigates how nonlocal nonlinear responses in media suppress transverse instabilities in spatial bright solitons, providing analytical and numerical insights into the growth rate behavior across different wave regimes.

Contribution

It offers the first detailed analysis of the impact of nonlocality on soliton transverse instabilities, including asymptotic expressions for growth rates.

Findings

Nonlocal response significantly suppresses transverse instability.

Derived asymptotic expressions for instability growth rates.

Numerical simulations confirm analytical predictions.

Abstract

We analyze the transverse instabilities of spatial bright solitons in nonlocal nonlinear media, both analytically and numerically. We demonstrate that the nonlocal nonlinear response leads to a dramatic suppression of the transverse instability of the soliton stripes, and we derive the asymptotic expressions for the instability growth rate in both short- and long-wave approximations.