Breatherlike solitons extracted from the Peregrine rogue wave

Guangye Yang, Yan Wang, Zhenyun Qin, Boris A. Malomed, Dumitru Mihalache, Lu Li

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42 Scopus citations

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 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.

Original languageEnglish
Article number062909
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume90
Issue number6
DOIs
StatePublished - 9 Dec 2014

Funding

FundersFunder number
National Natural Science Foundation of China61475198, 61078079
Natural Science Foundation of Shanghai14ZR1403500
Shanxi Scholarship Council of China2011-010

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