Breatherlike solitons extracted from the Peregrine rogue wave.

Physical review. E, Statistical, nonlinear, and soft matter physics

PubMedID: 25615166

Yang G, Wang Y, Qin Z, Malomed BA, Mihalache D, Li L. Breatherlike solitons extracted from the Peregrine rogue wave. Phys Rev E Stat Nonlin Soft Matter Phys. 2014;90(6-1):062909.
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 breatherlike 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.