Controllable generations of several nonlinear waves in optical fibers with third-order dispersion

TL;DR

This paper presents a method to controllably generate six types of nonlinear waves in optical fibers with third-order dispersion, enabling precise control over their features for potential applications in optical systems.

Contribution

It introduces a novel approach to generate and control multiple nonlinear wave types in optical fibers with third-order dispersion, supported by stability analysis and numerical simulations.

Findings

Successful generation of six nonlinear wave types

Quantitative control over wave velocity, periodicity, and localization

Potential applications in optical wave generation systems

Abstract

We propose a method to controllably generate six kinds of nonlinear waves on continuous waves, including the one- and multi-peak solitons, the Akhmediev, Kuznetsov-Ma, and Taijiri-Watanabe breathers, and stable periodic waves. In the nonlinear fiber system with third-order dispersion, we illustrate their generation conditions by the modified linear stability analysis, and numerically generate them from initial perturbations on continuous waves. We implement the quantitative control over their dynamical features, including the wave type, velocity, periodicity, and localization. Our results may provide an effective scheme for generating optical solitons on continuous waves, and it can also be applied for wave generations in other various nonlinear systems.