Journal ArticleDOI
Peregrine Solitons beyond the Threefold Limit and Their Two-Soliton Interactions
TLDR
Within the coupled Fokas-Lenells equations framework, it is numerically confirmed that the Peregrine soliton beyond the threefold limit can be reproduced from either a deterministic initial profile or a chaotic background field, hence anticipating the feasibility of its experimental observation.Abstract:
Within the coupled Fokas-Lenells equations framework, we show explicitly that, in contrast to the expected threefold-amplitude magnification, Peregrine solitons can reach a peak amplitude as high as 5 times the background level. Besides, the interaction of two such anomalous Peregrine solitons can generate a spikelike rogue wave of extremely high peak amplitude, depending on the parameters used. We numerically confirm that the Peregrine soliton beyond the threefold limit can be reproduced from either a deterministic initial profile or a chaotic background field, hence anticipating the feasibility of its experimental observation.read more
Citations
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Journal ArticleDOI
Vector bright solitons and their interactions of the couple Fokas–Lenells system in a birefringent optical fiber
TL;DR: In this paper, the vector bright solitons and their interaction properties of the coupled Fokas-Lenells system were studied for femtosecond optical pulses in a birefringent optical fiber.
Journal ArticleDOI
Experimental Observations of Breathing Dissipative Soliton Explosions
Junsong Peng,Heping Zeng +1 more
TL;DR: In this article, the authors used a mode-locked fiber laser and a fast detection technique to study dissipative soliton explosions and found that the explosions occur far below the mode-locking threshold, and nonlinearity-mediated $Q$-switching stimulates this.
Journal ArticleDOI
Baseband modulation instability, rogue waves and state transitions in a deformed Fokas–Lenells equation
TL;DR: In this paper, a deformed Fokas-Lenells equation with higher-order nonholonomic constraint is studied and the baseband modulation instability as an origin of rogue waves is displayed.
Journal ArticleDOI
Fundamental Peregrine Solitons of Ultrastrong Amplitude Enhancement through Self-Steepening in Vector Nonlinear Systems
TL;DR: The universal emergence of anomalous fundamental Peregrine solitons, which can exhibit an unprecedentedly ultrahigh peak amplitude comparable to any higher-order rogue wave events, in the vector derivative nonlinear Schrödinger system involving the self-steepening effect is reported.
Journal ArticleDOI
Chirped optical soliton propagation in birefringent fibers modeled by coupled Fokas-Lenells system
Houria Triki,Qin Zhou,Wenjun Liu,Anjan Biswas,Luminita Moraru,Yakup Yıldırım,Hashim M. Alshehri,Milivoj R. Belic +7 more
TL;DR: In this paper , the propagation of ultrashort light pulses in a birefringent optical fiber exhibiting spatiotemporal dispersion, cross-and self-phase modulation, self-steepening and group-velocity dispersion effects is addressed.
References
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Nonlinear optics
TL;DR: In this method, non-linear susceptibility tensors are introduced which relate the induced dipole moment to a power series expansion in field strengths and the various experimental observations are described and interpreted in terms of this formalism.
Book
Optical solitons : from fibers to photonic crystals
TL;DR: In this article, the authors introduce spatial and temporal solitons in photonic crystals, and introduce the concept of Incoherent Solitons, which is a subclass of the spatial and temporally soliton.
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Optical rogue waves
TL;DR: This work reports the observation of rogue waves in an optical system, based on a microstructured optical fibre, near the threshold of soliton-fission supercontinuum generation—a noise-sensitive nonlinear process in which extremely broadband radiation is generated from a narrowband input.
Journal ArticleDOI
Water waves, nonlinear Schrödinger equations and their solutions
TL;DR: In this article, a number of ases in which these equations reduce to a one dimensional nonlinear Schrodinger (NLS) equation are enumerated, and several analytical solutions of NLS equations are presented, with discussion of their implications for describing the propagation of water waves.
Journal ArticleDOI
The Peregrine soliton in nonlinear fibre optics
Bertrand Kibler,Julien Fatome,Christophe Finot,Guy Millot,Frédéric Dias,Frédéric Dias,Goëry Genty,Nail Akhmediev,John M. Dudley +8 more
TL;DR: The Peregrine soliton was observed experimentally for the first time by using femtosecond pulses in an optical fiber as mentioned in this paper, which gave some insight into freak waves that can appear out of nowhere before simply disappearing.