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We study generation of two-dimensional dispersive shock waves and oblique dark solitons upon interaction of tilted plane waves with negative refractive index defects embedded into defocusing material with linear gain and two-photon…

Optics · Physics 2015-06-12 Yaroslav V. Kartashov , Anatoly M. Kamchatnov

We study the family of static and moving dark solitons in quasi-one-dimensional dipolar Bose-Einstein condensates, exploring their modified form and interactions. The density dip of the soliton acts as a giant anti-dipole which adds a…

Quantum Gases · Physics 2015-12-02 T. Bland , M. J. Edmonds , N. P. Proukakis , A. M. Martin , D. H. J. O'Dell , N. G. Parker

We reveal the existence of dynamically stable composite topological solitons in Bessel photonic lattices imprinted in focusing Kerr-type nonlinear media. The new stable composite solitons are made of a vortex-ring with unit topological…

Optics · Physics 2009-11-10 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

We investigate the influence of the stimulated Raman scattering on the formation of bright and dark localized states in all-fiber resonators subject to a coherent optical injection, when operating in the normal dispersion regime. In the…

Pattern Formation and Solitons · Physics 2021-01-13 P. Parra-Rivas , S. Coulibaly , M. G. Clerc , M. Tlidi

Dielectric optical resonators traditionally rely on materials with the combination of high refractive indices and low optical losses. Such materials are scarce for operation in visible spectrum and shorter wavelengths. This limitation can…

Ring dark and anti-dark solitons in nonlocal media are found. These structures have, respectively, the form of annular dips or humps on top of a stable continuous-wave background, and exist in a weak or strong nonlocality regime, defined by…

Optics · Physics 2016-04-20 Theodoros P. Horikis , Dimitrios J. Frantzeskakis

We show theoretically that broad area lasers driven by a nearly resonant bichromatic field may support dark-ring cavity solitons as well as domain walls and labyrinthine patterns.

Soft Condensed Matter · Physics 2007-05-23 German J. de Valcarcel , Kestutis Staliunas

We study all-optical switching based on the dynamical properties of discrete vector solitons in waveguide arrays. We employ the concept of the polarization mode instability and demonstrate simultaneous switching and amplification of a weak…

Pattern Formation and Solitons · Physics 2009-11-10 Rodrigo A. Vicencio , Mario I. Molina , Yuri S. Kivshar

N-dark-dark solitons in the generally coupled integrable NLS equations are derived by the KP-hierarchy reduction method. These solitons exist when nonlinearities are all defocusing, or both focusing and defocusing nonlinearities are mixed.…

Pattern Formation and Solitons · Physics 2010-11-12 Yasuhiro Ohta , Dengshan Wang , Jianke Yang

Dissipative Kerr soliton offers broadband coherent and low-noise frequency comb and stable temporal pulse train, having shown great potential applications in spectroscopy, communications, and metrology. Breathing soliton is a particular…

We investigate the formation and propagation of vector vortex solitons (VS) and unipolar soliton (US) in a cold atomic gas with Bessel lattices (BLs). The system we consider is a cold, coherent atomic gas with a tripod or multipod level…

Pattern Formation and Solitons · Physics 2019-03-19 Shun-fang Chen , Ya-Wei Guo , Qi Guo , Dong Zhao , Milivoj R. Belić , Yuan Zhao , Si-liu Xu

We introduce the concept of ring dark solitons in Bose-Einstein condensates. We show that relatively shallow rings are not subject to the snake instability, but a deeper ring splits into a robust ring-like cluster of vortex pairs, which…

Soft Condensed Matter · Physics 2009-11-10 G. Theocharis , D. J. Frantzeskakis , P. G. Kevrekidis , B. A. Malomed , Yuri S. Kivshar

We introduce a one-dimensional model of a cavity with the Kerr nonlinearity and saturated gain, designed so as to keep solitons in the state of shuttle motion. The solitons are always unstable in the cavity bounded by the usual potential…

Optics · Physics 2015-06-17 Or Maor , Nir Dror , Boris A. Malomed

In recent times, bound soliton states have often been referred to as soliton molecules in the nonlinear optics literature. The striking analogies between photonic bound states and matter molecular structures in chemistry and physics have…

Pattern Formation and Solitons · Physics 2025-03-14 S. Stalin , M. Lakshmanan

Temporal cavity solitons (CSs) are pulses of light that can persist endlessly in dispersive, nonlinear optical resonators. They have been extensively studied in the context of resonators with purely cubic (Kerr-type) nonlinearity that are…

We introduce a setting based on the one-dimensional (1D) nonlinear Schroedinger equation (NLSE) with the self-focusing (SF) cubic term modulated by a singular function of the coordinate, |x|^{-a}. It may be additionally combined with the…

Pattern Formation and Solitons · Physics 2015-06-04 Olga V. Borovkova , Valery E. Lobanov , Boris A. Malomed

Continuous-wave-driven Kerr nonlinear microresonators give rise to self-organization in terms of dissipative Kerr solitons, which constitute optical frequency combs that can be used to generate low-noise microwave signals. Here, by applying…

In this work, we introduce a method for stabilizing spatiotemporal solitons. These solitons correspond to light bullets in multimode optical fiber lasers, energy-scalable waveguide oscillators and amplifiers, localized coherent patterns in…

Optics · Physics 2022-08-12 Vladimir L. Kalashnikov , Stefan Wabnitz

We consider two-component solitons in a medium with a periodic modulation of the nonlinear coefficient. The modulation enables the existence of complex multihump vector states. In particular, vector solitons composed of dipole and…

The Kerr nonlinearity allows for exact analytic soliton solutions in 1+1D. While nothing excludes that these solitons form in naturally-occurring real-world 3D settings as solitary walls or stripes, their observation has previously been…

Pattern Formation and Solitons · Physics 2025-12-05 Ludovica Falsi , Alberto Villois , Francesco Coppini , Aharon J. Agranat , Eugenio DelRe , Stefano Trillo