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Spatial solitons can exist in various kinds of nonlinear optical resonators with and without amplification. In the past years different types of these localized structures such as vortices, bright, dark solitons and phase solitons have been…

Pattern Formation and Solitons · Physics 2009-11-07 V. B. Taranenko , G. Slekys , C. O. Weiss

In the framework of the nonlinear $\Lambda$-model we investigate propagation of solitons in atomic vapors and Bose-Einstein condensates. We show how the complicated nonlinear interplay between fast solitons and slow-light solitons in the…

Quantum Physics · Physics 2009-11-11 A. V. Rybin , I. P. Vadeiko , A. R. Bishop

Higher-order solitons inherently possess a spatial periodicity along the propagation axis. The pulse expands and compresses in both, frequency and time domain. This property is exploited for a bandwidth-limited receiver by sampling the…

Signal Processing · Electrical Eng. & Systems 2023-04-13 Sebastian Jung , Tim Uhlemann , Alexander Span , Maximilian Bauhofer , Stephan ten Brink

We report the experimental observation of multiple dispersive waves emitted in the anomalous dispersion region of an optical fiber from a train of dark solitons. Each individual dispersive wave can be associated to one particular dark…

Pattern Formation and Solitons · Physics 2016-06-29 T. Marest , C. Mas Arabi , M. Conforti , A. Mussot , C. Milian , D. V. Skryabin , A. Kudlinski

Wave modes induced by cross-phase reshaping of a probe photon in the guiding structure of a periodic train of temporal pulses are investigated theoretically with emphasis on exact solutions to the wave equation for the probe. The study has…

Pattern Formation and Solitons · Physics 2021-09-16 Alain M. Dikande

Compact objects, like neutron stars and white dwarfs, may accrete dark matter, and then be sensitive probes of its presence. These compact stars with a dark matter component can be modeled by a perfect fluid minimally coupled to a complex…

General Relativity and Quantum Cosmology · Physics 2015-11-03 Susana Valdez-Alvarado , Carlos Palenzuela , Daniela Alic , L. Arturo Ureña-López

We study spatial and temporal solitons in the $\mathcal{PT}$ symmetric coupler with gain in one waveguide and loss in the other. Stability properties of the high- and low-frequency solitons are found to be completely determined by a single…

Pattern Formation and Solitons · Physics 2015-06-05 N. V. Alexeeva , I. V. Barashenkov , Andrey A. Sukhorukov , Yuri S. Kivshar

We study the dynamics of solitons under the action of one-dimensional quasiperiodic lattice potentials, fractional diffraction, and nonlinearity. The formation and stability of the solitons is investigated in the framework of the fractional…

Pattern Formation and Solitons · Physics 2025-04-11 Eduard Pavlyshynets , Luca Salasnich , Boris A. Malomed , Alexander Yakimenko

Characteristic features of soliton-comb structures in optical microresonators are investigated in normal and anomalous dispersion regimes, when the detuning parameter is varied over a broad range of values. The study rests on the assumption…

Optics · Physics 2019-12-17 R. D. Dikandé Bitha , Alain M. Dikandé

We examine the evolution of a time-varying perturbation signal pumped into a mono-mode fiber in the anomalous dispersion regime. We analytically establish that the perturbation evolves into a conservative pattern of periodic pulses which…

Pattern Formation and Solitons · Physics 2021-09-17 Défi Jr. Jubgang Fandio , Alain M. Dikandé , A. Sunda-Meya

We study spatial optical solitons in a one-dimensional nonlinear photonic crystal created by an array of thin-film nonlinear waveguides, the so-called Dirac-comb nonlinear lattice. We analyze modulational instability of the extended…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey A. Sukhorukov , Yuri S. Kivshar

The generation of high-intensity optical fields from harmonic-wave photons, interacting via a cross-phase modulation with dark solitons both propagating in a Kerr nonlinear medium, is examined. The focus is on a pump consisting of…

Pattern Formation and Solitons · Physics 2021-07-08 E. Chenui Aban , Alain M. Dikande

In the present work, we revisit the highly active research area of inhomogeneously nonlinear defocusing media and consider the existence, spectral stability and nonlinear dynamics of bright solitary waves in them. We use the anti-continuum…

Pattern Formation and Solitons · Physics 2015-09-02 P. G. Kevrekidis , R. L. Horne , N. Whitaker , Q. E. Hoq , D. Kip

In this paper, we carry out a theoretical investigation on the propagation of spatio-temporal solitons (light bullets) in the nonlinear metamaterial waveguides. Our theoretical study is based on the formulation of Lagrangian variational…

Optics · Physics 2022-03-08 A. K. Shafeeque Ali , A. Govindarajan , M. Lakshmanan

Solitary waves have consistently captured the imagination of scientists, ranging from fundamental breakthroughs in spectroscopy and metrology enabled by supercontinuum light, to gap solitons for dispersionless slow-light, and discrete…

In the present work, we numerically explore the existence and stability properties of different types of configurations of dark-bright solitons, dark-bright soliton pairs and pairs of dark-bright and dark solitons in discrete settings,…

Pattern Formation and Solitons · Physics 2015-05-20 A. Alvarez , J. Cuevas , F. R. Romero , P. G. Kevrekidis

We experimentaly investigate higher-order seeded modulation instability in an optical fiber experiment. The recirculating loop configuration with round-trip losses compensation enables the observation in single-shot of the spatio-temporal…

Optics · Physics 2022-07-27 François Copie , Pierre Suret , Stéphane Randoux

Solitons are wavepackets that resist dispersion through a self-induced potential well. They are studied in many fields, but are especially well known in optics on account of the relative ease of their formation and control in optical fiber…

Optics · Physics 2017-02-01 Qi-Fan Yang , Xu Yi , Ki Youl Yang , Kerry Vahala

The light ray of a spatial soliton in an optical film whose refractive index is smoothly modulated (wavelength much larger than the typical soliton width) in both spatial directions is shown to possess chaotic regimes for which the…

Pattern Formation and Solitons · Physics 2015-05-14 Ramaz Khomeriki , Jerome Leon

A phenomenological description of time evolution of atomic matter waves inside a spiral shaped atomic-wave guide is presented in this report. We study three related topics: (i) the effective Hamiltonian and the time-development equation…

Quantum Physics · Physics 2009-11-10 Jian Qi Shen