Linear Rogue waves

TL;DR

This paper predicts linear discrete rogue waves governed by the discrete nonlinear Schrödinger equation, attributing their formation to the Josephson effect, and discusses their underlying physics.

Contribution

It introduces the concept of linear rogue waves in discrete systems and links their formation to the Josephson effect, a novel insight in nonlinear wave physics.

Findings

Existence of linear discrete rogue waves predicted

Josephson effect identified as the underlying mechanism

Provides theoretical framework for future experimental studies

Abstract

We predict the existence of linear discrete rogue waves governed by the discrete nonlinear Schrodinger equation. We discuss that Josephson effect is the underlying reason for the formation of such waves.