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Based on the soliton solution on a continuous wave background for an integrable Hirota equation, the reduction mechanism and the characteristics of the Peregrine rogue wave in the propagation of femtosecond pulses of optical fiber are…

Optics · Physics 2012-05-09 Guangye Yang , Lu Li , Suotang Jia

Within the framework of numerical simulations, we study the gyrotron dynamics under conditions of a significant excess of the operating current over the starting value, when the generation of electromagnetic pulses with anomalously large…

Pattern Formation and Solitons · Physics 2024-04-16 R. M. Rozental , A. V. Slunyaev , N. S. Ginzburg , A. S. Sergeev , I. V. Zotova

We present the fascinating phenomena of resonant radiation emitted by transient rogue waves in cubic and quadratic nonlinear media, particularly those shed from Peregrine solitons, one of the main wavepackets used today to model real-world…

Optics · Physics 2024-11-08 Marcos Caso-Huerta , Lili Bu , Shihua Chen , Stefano Trillo , Fabio Baronio

Based on the Peregrine solution (PS) of the nonlinear Schr\"odinger (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…

Optics · Physics 2015-06-23 Guangye Yang , Yan Wang , Zhenyun Qin , Boris A. Malomed , Dumitru Mihalache , Lu Li

We explore the correlated dynamics underlying the formation of the quantum Peregrine soliton, a prototypical rogue-wave excitation, utilizing interaction quenches from repulsive to attractive couplings in an ultracold bosonic gas confined…

Quantum Gases · Physics 2025-12-19 D. Diplaris , G. A. Bougas , P. G. Kevrekidis , C. -L. Hung , P. Schmelcher , S. I. Mistakidis

In multi-component systems, several rogue waves can be simultaneously excited using simple initial conditions in the form of a plane wave with a small amplitude single-peak perturbation. This is in drastic contrast with the case of…

Pattern Formation and Solitons · Physics 2022-03-09 Chong Liu , Shao-Chun Chen , Xiankun Yao , Nail Akhmediev

The Peregrine breather, today widely regarded as a prototype for spatio-temporally localized rogue waves on the ocean caused by nonlinear focusing, is analyzed by direct numerical simulations based on two-phase Navier-Stokes equations. A…

Fluid Dynamics · Physics 2015-06-18 R. Peric , N. Hoffmann , A. Chabchoub

Using the generalised nonlinear Schr\"odinger equation, we investigate how the effect of third-order dispersion, self-steepening, and Raman-induced-self-frequency shift have an impact on the higher-order rogue waves. We observe that…

Pattern Formation and Solitons · Physics 2022-10-04 Amdad Chowdury , Wonkeun Chang , Marco Battiato

We report the experimental observation of vector extensions of Peregrine solitons in highly particle-imbalanced, pairwise immiscible three-component repulsive Bose-Einstein condensates (BECs). The possibility of an effectively attractive…

Quantum Gases · Physics 2025-10-30 G. A. Bougas , G. C. Katsimiga , S. Mossman , P. Engels , P. G. Kevrekidis , S. I. Mistakidis

Within the framework of the average approach and direct 3D PIC (particle-in-cell) simulations we demonstrate that the gyrotrons operating in the regime of developed turbulence can sporadically emit "giant" spikes with intensities a factor…

Chaotic Dynamics · Physics 2017-09-20 N. S. Ginzburg , R. M. Rozental , A. S. Sergeev , A. E. Fedotov , I. V. Zotova , V. P. Tarakanov

We address the possibility to control high power pulses extracted from the maximally compressed pulse in a nonlinear optical fiber by adjusting the initial excitation parameters. The numerical results show that the power, location and…

Optics · Physics 2013-09-18 Guangye Yang , Lu Li , Suotang Jia , Dumitru Mihalache

We consider a two-level atomic system, interacting with an electromagnetic field controlled in amplitude and frequency by a high intensity laser. We show that the amplitude of the induced electric field, admits an envelope profile…

Pattern Formation and Solitons · Physics 2016-08-24 Jingsong He , Shuwei Xu , K. Porsezian , Yi Cheng , P. Tchofo Dinda

We present a numerical study of the evolution dynamics of ``optical rogue waves'', statistically-rare extreme red-shifted soliton pulses arising from supercontinuum generation in photonic crystal fiber [D. R. Solli et al. Nature Vol. 450,…

Optics · Physics 2009-11-13 John. M. Dudley , Goery Genty , Benjamin J. Eggleton

We present experimental evidence of the universal emergence of the Peregrine soliton predicted in the semi-classical (zero-dispersion) limit of the focusing nonlinear Schr\"{o}dinger equation [Comm. Pure Appl. Math. {\bf 66}, 678 (2012)].…

Pattern Formation and Solitons · Physics 2017-07-26 A. Tikan , C. Billet , G. El , A. Tovbis , M. Bertola , T. Sylvestre , F. Gustave , S. Randoux , G. Genty , P. Suret , J. M. Dudley

Rogue waves, characterized by their abrupt and extreme localization in space and time, have evolved from maritime folklore to subjects of intense study across diverse fields, from hydrodynamics and nonlinear optics to plasmas and condensed…

Pattern Formation and Solitons · Physics 2026-05-19 Yasuhiro Miyazawa , Christopher Chong , Panayotis G. Kevrekidis , Jinkyu Yang

We consider the role of a propagation effect such as the stimulated Raman scattering on the polarization of radio pulses. When an intense electromagnetic wave with frequency close to the plasma frequency interacts with the plasma in the…

Astrophysics · Physics 2009-10-31 R. T. Gangadhara , H. Lesch , V. Krishan

We report the first observation of extreme wave events (rogue waves) in parametrically driven capillary waves. Rogue waves are observed above a certain threshold in forcing. Above this threshold, frequency spectra broaden and develop…

Fluid Dynamics · Physics 2010-03-15 M. Shats , H. Punzmann , H. Xia

We first report the first- and higher-order vector Peregrine solitons (alias rational rogue waves) for the any multi-component NLS equations based on the loop group theory, an explicit (n + 1)-multiple eigenvalue of a characteristic…

Exactly Solvable and Integrable Systems · Physics 2021-11-19 Guoqiang Zhang , Liming Ling , Zhenya Yan

Rogue waves in (2+1)-dimensional three-wave resonant interactions are studied. General rogue waves arising from a constant background, from a lump-soliton background and from a dark-soliton background have been derived, and their dynamics…

Exactly Solvable and Integrable Systems · Physics 2022-03-02 Bo Yang , Jianke Yang

We derive the rogue wave solution of the classical massive Thirring model, that describes nonlinear optical pulse propagation in Bragg gratings. Combining electromagnetically induced transparency with Bragg scattering four-wave mixing, may…

Pattern Formation and Solitons · Physics 2015-01-26 Antonio Degasperis , Stefan Wabnitz , Alejandro B. Aceves
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