# Rogue wave generation by inelastic quasi-soliton collisions in optical fibres

## TL;DR

This paper introduces a novel mechanism for rogue wave formation in optical fibers based on inelastic quasi-soliton collisions, revealing a threshold and statistical properties with unprecedented detail.

## Contribution

It presents a new cascade mechanism involving inelastic quasi-soliton collisions for rogue wave generation in optical fibers, supported by extensive simulations.

## Key findings

- Identifies a threshold for rogue wave emergence.
- Discovers a 'calm before the storm' period prior to rogue waves.
- Provides detailed statistical analysis over long simulation times.

## Abstract

We demonstrate a simple cascade mechanism that drives the formation and emergence of rogue waves in the generalized non-linear Schr\"{o}dinger equation with third-order dispersion. This conceptually novel generation mechanism is based on inelastic collisions of quasi-solitons and is well described by a resonant-like scattering behaviour for the energy transfer in pair-wise quasi-soliton collisions. Our results demonstrate a threshold for rogue wave emergence and the existence of a period of reduced amplitudes - a "calm before the storm" - preceding the arrival of a rogue wave event. Comparing with ultra-long time window simulations of $3.865\times 10^{6}$ps we observe the statistics of rogue waves in optical fibres with an unprecedented level of detail and accuracy, unambiguously establishing the long-ranged character of the rogue wave power-distribution function over seven orders of magnitude.