Optical rogue waves and W-shaped solitons in the multiple self-induced transparency system

TL;DR

This paper investigates localized nonlinear waves in the multiple self-induced transparency system, revealing new rogue wave and W-shaped soliton solutions, their stability, and state transitions, expanding understanding beyond the single SIT system.

Contribution

It introduces a hierarchy of exact multiparametric solutions in the multiple SIT system, including rogue waves and W-shaped solitons, and analyzes their stability and state transitions.

Findings

Identified rogue wave and W-shaped soliton solutions in the multiple SIT system.

Demonstrated state transitions between rogue waves and W-shaped solitons.

Revealed the existence of stationary and nonstationary nonlinear modes.

Abstract

We study localized nonlinear waves on a plane wave background in the multiple self-induced transparency (SIT) system, which describes an important enhancement of the amplification and control of optical waves compared to the single SIT system. A hierarchy of exact multiparametric rational solutions in a compact determinant representation are presented. We demonstrate that, this family of solutions contains known rogue wave solution and unusual W-shaped soliton solution, which strictly corresponds to the linear stability analysis that involves modulation instability and stability regimes in the low perturbation frequency region. State transitions between rogue waves and W-shaped solitons as well as the higher-order nonlinear superposition modes are revealed by the suitable choice for the background wavenumber of electric field component. In particular, our results show that, the multiple SIT system admits stationary and nonstationary nonlinear modes in contrast to the results in the single SIT system. Correspondingly, the important characteristics of the nonlinear waves including trajectories and spectrum are revealed in detail.