title: Breatherlike 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 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.
authors.affiliation: Institute of Theoretical Physics, Shanxi University, Taiyuan, Shanxi 030006, China and Department of Physics, Shanxi Medical University, Taiyuan, Shanxi 030001, China.
authors.forename: Guangye
authors.initials: G
authors.lastname: Yang
authors.affiliation: Institute of Theoretical Physics, Shanxi University, Taiyuan, Shanxi 030006, China.
authors.forename: Yan
authors.initials: Y
authors.lastname: Wang
authors.affiliation: School of Mathematics, Key Laboratory of Mathematics for Nonlinear Science and Shanghai Center for Mathematical Sciences, Fudan University, Shanghai 200433, China.
authors.forename: Zhenyun
authors.initials: Z
authors.lastname: Qin
authors.affiliation: Department of Physical Electronics, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel.
authors.forename: Boris A
authors.initials: BA
authors.lastname: Malomed
authors.affiliation: Horia Hulubei National Institute for Physics and Nuclear Engineering, P.O. Box MG-6, RO-077125 Magurele, Romania and Academy of Romanian Scientists, 54 Splaiul Independentei, RO-050094 Bucharest, Romania.
authors.forename: Dumitru
authors.initials: D
authors.lastname: Mihalache
authors.affiliation: Institute of Theoretical Physics, Shanxi University, Taiyuan, Shanxi 030006, China.
authors.forename: Lu
authors.initials: L
authors.lastname: Li