Breather-like solitons extracted from the Peregrine rogue wave

TL;DR

This paper investigates breather-like solitons derived from the Peregrine rogue wave in optical fibers, demonstrating their stable propagation and robustness through spectral filtering and realistic fiber modeling.

Contribution

It introduces a method to extract and analyze breather-like solitons from Peregrine solutions in optical fibers with realistic parameters.

Findings

Breather-like solitons can be stably propagated in optical fibers.

These solitons are robust against small perturbations.

Spectral filtering effectively extracts these solitons from Peregrine solutions.

Abstract

Based on the Peregrine solution (PS) of the nonlinear Schr\"odinger (NLS) equation, the evolution of rational fraction pulses surrounded by zero background is investigated. These pulses display the behavior of a breather-like solitons. We study the generation and evolution of such solitons extracted, by means of the spectral-filtering method, from the PS in the model of the optical fiber with realistic values of coefficients accounting for the anomalous dispersion, Kerr nonlinearity, and higher-order effects. The results demonstrate that the breathing solitons stably propagate in the fibers. Their robustness against small random perturbations applied to the initial background is demonstrated too.