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Spatially periodic modulation of the intersite coupling in two-dimensional (2D) nonlinear lattices modifies the eigenvalue spectrum by opening mini-gaps in it. This work aims to build stable localized modes in the new bandgaps. Numerical…

Pattern Formation and Solitons · Physics 2015-06-19 Goran Gligorić , Aleksandra Maluckov , Ljupčo Hadžievski , Boris A. Malomed

It is shown that three or more dark/gray solitons can form bound states in nonlocal media. More over dark/gray solitons can form bound states in several balance distances. Numerical simulations indicate that some of such bound states are…

Optics · Physics 2011-05-05 Shigen Ouyang , Wei Hu , Qi Guo

Intense light propagating in a nonlinear medium can generate an ensemble of interacting filaments of light, or spatial solitons. Using nematic liquid crystals, we demonstrate that they undergo a collective behavior typical of complex…

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

We study light localization at a phase-slip defect created by two semi-infinite mismatched identical arrays of coupled optical waveguides. We demonstrate that the nonlinear defect modes possess the specific properties of both nonlinear…

Pattern Formation and Solitons · Physics 2009-11-13 Mario I. Molina , Yuri S. Kivshar

We study two-component spatial optical solitons carrying an angular momentum and propagating in a self-focusing saturable nonlinear medium. When one of the components is small, such vector solitons can be viewed as a self-trapped vortex…

Pattern Formation and Solitons · Physics 2009-11-10 Jose R. Salgueiro , Yuri S. Kivshar

We have found various families of two-dimensional spatiotemporal solitons in quadratically nonlinear waveguide arrays. The families of unstaggered odd, even and twisted stationary solutions are thoroughly characterized and their stability…

Pattern Formation and Solitons · Physics 2009-11-10 Zhiyong Xu , Yaroslav V. Kartashov , Lucian-Cornel Crasovan , Dumitru Mihalache , Lluis Torner

We study composite spatial optical solitons supported by two-wave mutual focusing induced by cross-phase modulation in Kerr-like nonlinear media. We find the families of both single- and two-hump solitons and discuss their properties and…

Pattern Formation and Solitons · Physics 2009-04-01 Jose R. Salgueiro , Andrey A. Sukhorukov , Yuri S. Kivshar

Real-time spectroscopy based on an emerging time-stretch technique can map the spectral information of optical waves into the time domain, opening several fascinating explorations of nonlinear dynamics in mode-locked lasers. However, the…

Optics · Physics 2018-08-23 X. M. Liu , Y. D. Cui

The existence and stability of defect solitons supported by parity-time (PT) symmetric superlattices with nonlocal nonlinearity are investigated. In the semi-infinite gap, in-phase solitons are found to exist stably for positive or zero…

Optics · Physics 2012-04-17 Sumei Hu , Daquan Lu , Xuekai Ma , Qi Guo , Wei Hu

We develop a nonlinear theory of soliton-induced waveguides that describes a finite-amplitude probe beam guided by a spatial dark soliton in a saturable nonlinear medium. We suggest an effective way to control the interaction of these…

patt-sol · Physics 2009-10-31 Elena A. Ostrovskaya , Yuri S. Kivshar

We report results for solitons in models of waveguides with focusing or defocusing saturable nonlinearity and a parity-time(PT )-symmetric complex-valued external potential of the Scarf-II type. The model applies to the nonlinear wave…

Optics · Physics 2018-04-11 Pengfei Li , Dumitru Mihalache , Boris A. Malomed

We introduce a new concept for stable spatial soliton formation, mediated by the competition between self-bending induced by a strongly asymmetric nonlocal nonlinearity and spatially localized gain superimposed on a wide pedestal with…

We numerically study the nonlocal gap solitons in parity-time (PT) symmetric optical lattices built into a nonlocal self-focusing medium. We state the existence, stability, and propagation dynamics of such PT gap solitons in detail.…

Optics · Physics 2015-05-30 Huagang Li , Xiujuan Jiang , Xing Zhu , Zhiwei Shi

A model of spontaneous wavefunction collapse, which is explicitly local and Lorentz-invariant, is defined. Some of the predictions of the model for specific experimental situations are derived. It is shown that, although incompatible…

Quantum Physics · Physics 2007-05-23 Chris Dove , Euan J. Squires

Temporal cavity solitons (CSs) are stable, localized particle-like objects in the form of optical pulses that circulate indefinitely in coherently driven nonlinear resonators. In the spectral domain, they form highly coherent frequency…

We describe an effective resonant interaction between two localized wave modes of different nature: a plasmon-polariton at a metal surface and a self-focusing beam (spatial soliton) in a non-linear dielectric medium. Propagating in the same…

Optics · Physics 2015-05-13 K. Y. Bliokh , Y. P. Bliokh , A. Ferrando

We study the irreversible dynamics of nonlinear, nonintegrable Hamiltonian oscillator chains approaching their statistical asympotic states. In systems constrained by more than one conserved quantity, the partitioning of the conserved…

Pattern Formation and Solitons · Physics 2009-11-10 Benno Rumpf , Alan C. Newell

It is well-known that localized topological defects (solitons) experience recoil when they suffer an impact by incident particles. Higher-dimensional topological defects develop distinctive wave patterns propagating along their worldvolume…

High Energy Physics - Theory · Physics 2010-10-27 Ben Craps , Oleg Evnin , Shin Nakamura

Modulational instabilities play a key role in a wide range of nonlinear optical phenomena, leading e.g. to the formation of spatial and temporal solitons, rogue waves and chaotic dynamics. Here we experimentally demonstrate the existence of…

Mesoscale and Nanoscale Physics · Physics 2018-10-05 F. Baboux , D. De Bernardis , V. Goblot , V. N. Gladilin , C. Gomez , E. Galopin , L. Le Gratiet , A. Lemaître , I. Sagnes , I. Carusotto , M. Wouters , A. Amo , J. Bloch

A general theoretical framework for investigating nonlinear dynamics of phase space zonal structures is presented in this work. It is then, more specifically, applied to the limit where the nonlinear evolution time scale is smaller or…

Plasma Physics · Physics 2015-06-23 Fulvio Zonca , Liu Chen , Sergio Briguglio , Giuliana Fogaccia , Gregorio Vlad , Xin Wang