Discrete Rogue waves in an array of waveguides

TL;DR

This paper investigates the formation of discrete rogue waves in nonlinear waveguide arrays, highlighting the impact of small disorder and predicting long-lived rogue wave solutions within the discrete nonlinear Schrödinger framework.

Contribution

It introduces the effect of disorder on rogue wave formation and predicts long-living solutions in the discrete nonlinear Schrödinger equation.

Findings

Small disorder significantly affects rogue wave formation

Long-living rogue wave solutions are predicted

Disorder influences the dynamics of discrete rogue waves

Abstract

We study discrete rogue waves in an array of nonlinear waveguides. We show that very small degree of disorder due to experimental imperfection has a deep effect on the formation of discrete rogue waves. We predict long-living discrete rogue wave solution of the discrete nonlinear Schrodinger equation.