Breather-like solitons extracted from the Peregrine rogue wave

Abstract

Based on the Peregrine solution (PS) of the nonlinear Schrödinger (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.

arXiv comment7 pages, 8 figures, Phys.Rev.E, in press

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• Peregrine comb: multiple compression points for Peregrine rogue waves in periodically modulated nonlinear Schr{ö}dinger equations
• Parity-time-symmetric vector rational rogue wave solutions in any n-component nonlinear Schrödinger models
• Peregrine rogue waves in the nonlocal nonlinear Schrödinger equation with parity-time symmetric self-induced potential
• High-power pulse trains excited by modulated continuous waves
• Optical amplification and transmission of attenuated multi-soliton based on spectral characteristics of Akhmediev breather
• Excitation of Peregrine-type waveforms from vanishing initial conditions in the presence of periodic forcing
• Extreme wave events for a nonlinear Schrödinger equation with linear damping and Gaussian driving