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We analyze the formation of one-dimensional localized patterns in a nonlinear dissipative medium including a set of two narrow "hot spots" (HSs), which carry the linear gain, local potential, cubic self-interaction, and cubic loss, while…

Pattern Formation and Solitons · Physics 2011-12-09 Cheng Hou Tsang , Boris A. Malomed , Kwok Wing Chow

We describe wave propagation and soliton localization in photonic lattices which are induced in a nonlinear medium by an optical interference pattern, taking into account the inherent lattice deformations at the soliton location. We obtain…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey A. Sukhorukov

We investigate the propagation of partially coherent beams in spatially nonlocal nonlinear media with a logarithmic type of nonlinearity. We derive analytical formulas for the evolution of the beam parameters and conditions for the…

Pattern Formation and Solitons · Physics 2009-11-10 Wieslaw Krolikowski , Ole Bang , John Wyller

The propagation of solitons in dipolar BEC in a trap potential with a barrier potential is investigated. The regimes of soliton transmission, reflection and splitting as a function of the ratio between the local and dipolar nonlocal…

Pattern Formation and Solitons · Physics 2013-07-17 F. Kh. Abdullaev , V. A. Brazhnyi

We report on a novel behavior of solitary localized structures in a real Swift-Hohenberg equation subjected to a delayed feedback. We shall show that variation in the product of the delay time and the feedback strength leads to nontrivial…

Pattern Formation and Solitons · Physics 2013-03-08 S. V. Gurevich , R. Friedrich

A model of a Bose-Einstein condensate in a ring optical lattice with atomic dissipations applied at a stationary or at a moving location on the ring is presented. The localized dissipation is shown to generate and stabilize both stationary…

Pattern Formation and Solitons · Physics 2016-11-23 Russell Campbell , Gian-Luca Oppo

We report experiments on spatial switching dynamics and steady state structures of passive nonlinear semiconductor resonators of large Fresnel number. Extended patterns and switching front dynamics are observed and investigated. Evidence of…

Pattern Formation and Solitons · Physics 2009-10-31 V. B. Taranenko , I. Ganne , R. J. Kuszelewicz , C. O. Weiss

A great variety of nonlinear dissipative systems are known to host structures having a correlation range much shorter than the size of the system. The dynamics of these Localized Structures (LSs) have been investigated so far in situations…

Optics · Physics 2016-04-06 J. Javaloyes , P. Camelin , M. Marconi , M. Giudici

We analyze the existence, stability, and mobility of gap solitons (GSs) in a periodic photonic structure built into a nonlocal self-defocusing medium. Counter-intuitively, the GSs are supported even by a highly nonlocal nonlinearity, which…

Dissipative solitons can emerge in a wide variety of dissipative nonlinear systems throughout the fields of optics, medicine or biology. Dissipative solitons can also exist in Kerr-nonlinear optical resonators and rely on the double balance…

We address the existence and properties of one-dimensional solitons maintained by localized parameter gain in focusing and defocusing lossy nonlinear media. Localized parametric gain supports both fundamental and multipole solitons. We…

We report the first experimental realization of pattern formation in a spatially extended nonlinear system when the system is alternated between two states, neither of which exhibits patterning. Dynamical equations modeling the system are…

Pattern Formation and Solitons · Physics 2009-11-11 J. P. Sharpe , P. L. Ramazza , N. Sungar , Karl Saunders

We show that bimodal systems with a spatially nonuniform defocusing cubic nonlinearity, whose strength grows toward the periphery, can support stable two-component solitons. For a sufficiently strong XPM interaction, vector solitons with…

We demonstrate the existence of two species of stable bright solitons, fundamental and dipole ones, in one-dimensional self-defocusing nonlocal media, with the local value of nonlinearity coefficient having one or several minima and growing…

Optics · Physics 2015-06-15 Yingji He , Boris A. Malomed

The existence and stability of defect solitons in parity-time (PT) symmetric optical lattices with nonlocal nonlinearity are reported. It is found that nonlocality can expand the stability region of defect solitons. For positive or zero…

Optics · Physics 2012-04-19 Sumei Hu , Xuekai Ma , Daquan Lu , Yizhou Zheng , Wei Hu

Interferometers provide a highly sensitive means to investigate and exploit the coherence properties of light in metrology applications. However, interferometers come in various forms and exploit different properties of the optical states…

We address the impact of asymmetric nonlocal diffusion nonlinearity on the properties of gap solitons supported by photorefractive crystal with an imprinted optical lattice. We reveal how the asymmetric nonlocal response alters the domains…

Pattern Formation and Solitons · Physics 2009-11-11 Zhiyong Xu , Yaroslav V. Kartashov , Lluis Torner

We study the dynamical behavior of dissipative solitons in an optical cavity filled with a Kerr medium when a localized beam is applied on top of the homogeneous pumping. In particular, we report on the excitability regime that cavity…

Optics · Physics 2009-11-13 Adrian Jacobo , Damia Gomila , Manuel A. Matias , Pere Colet

We report on the observation and quantitative assessment of self-trapped pulsating beams in a highly non-local nonlinear regime. The experiments were conducted in nematic liquid crystals and allow a meaningful comparison with the prediction…

Optics · Physics 2009-11-10 Claudio Conti , Marco Peccianti , Gaetano Assanto

The interplay between topology and soliton is a central topic in nonlinear topological physics. So far, most studies have been confined to conservative settings. Here, we explore Thouless pumping of dissipative temporal solitons in a…

Quantum Gases · Physics 2024-09-06 Xuzhen Cao , Chunyu Jia , Ying Hu , Zhaoxin Liang