Localized nonlinear waves in a two-mode nonlinear fiber

TL;DR

This paper explores the emergence and interaction of various nonlinear waves, including solitons, breathers, and rogue waves, in a two-mode nonlinear fiber system, providing new analytical solutions and insights into their dynamics.

Contribution

It introduces the first analytical dark rogue wave solutions in a coupled two-mode nonlinear system and studies their interactions and potential observability.

Findings

Dark rogue waves are analytically derived in the coupled system.

Two rogue waves can coexist and interact in the temporal-spatial domain.

The study discusses experimental observation methods for these nonlinear waves.

Abstract

We find that diverse nonlinear waves, such as soliton, Akhmediev breather, and rogue waves (RWs), can emerge and interplay with each other in a two-mode coupled system. It provides a good platform to study interaction between different kinds of nonlinear waves. In particular, we obtain dark RWs analytically for the first time in the coupled system, and find that two RWs can appear in the temporal-spatial distribution. Possible ways to observe these nonlinear waves are discussed.