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Related papers: Soliton dynamics in deformable nonlinear lattices

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We study families of solitons in a two-dimensional (2D) model of the light transmission through a photorefractive medium equipped with a (quasi-)one-dimensional photonic lattice. The soliton families are bounded from below by finite minimum…

Pattern Formation and Solitons · Physics 2009-11-11 Thawatchai Mayteevarunyoo , Boris A. Malomed

Some selected important properties of photorefractive spatial solitons and their applications have been reviewed in the present paper. Using band transport model, the governing principle of photorefractive nonlinearity has been addressed…

Optics · Physics 2023-07-19 S. Konar , Vyacheslav A. Trofimov

We reveal and observe experimentally significant modifications undertaken by discrete solitons in waveguide lattices upon the continuous transformation of the lattice structure from one-dimensional to two-dimensional. Light evolution and…

We model discrete spatial solitons in a periodic nonlinear medium encompassing any degree of transverse non locality. Making a convenient reference to a widely used material -nematic liquid crystals-, we derive a new form of the discrete…

Pattern Formation and Solitons · Physics 2009-11-11 Andrea Fratalocchi , Gaetano Assanto

The propagation of localized edge modes in photonic honeycomb lattices, formed from an array of adiabatically varying periodic helical waveguides, is considered. Asymptotic analysis leads to an explicit description of the underlying…

Optics · Physics 2014-11-25 M. J. Ablowitz , C. W. Curtis , Y. -P. Ma

We investigate numerically light propagation in a single spiral waveguide formed in a nonlinear photorefractive medium for a low spatial frequency of the waveguide rotation. We present the general procedure for finding solitonic solutions…

In a recent paper [A. Alberucci, C. Jisha, N. Smyth, and G. Assanto, Phys. Rev. A 91, 013841 (2015)], Alberucci et al. have studied the propagation of bright spatial solitary waves in highly nonlocal media. We find that the main results in…

We analyze finite temperature effects in the generation of bright solitons in condensates in optical lattices. We show that even in the presence of strong phase fluctuations solitonic structures with well defined phase profile can be…

Other Condensed Matter · Physics 2009-11-10 V. Ahufinger , A. Sanpera

Exploration of the impact of synthetic material landscapes featuring tunable geometrical properties on physical processes is a research direction that is currently of great interest because of the outstanding phenomena that are continually…

We demonstrate theoretically and experimentally that the transverse instability of coherent soliton stripes can be greatly suppressed or totally eliminated when the soliton stripes propagate in a one-dimensional photonic lattice under…

Optics · Physics 2012-05-04 Jianke Yang , Daniel Gallardo , Alexandra Miller , Zhigang Chen

We show a novel kind of nonlinear waves in two-dimensional photonic lattices. This waves take the form of light clusters that may fill an arbitrary number of lattice sites. We have demonstrated by numerical simulations that stable…

Pattern Formation and Solitons · Physics 2007-05-23 Jose Ramon Salgueiro , Humberto Michinel , Maria I. Rodas-Verde

We discuss soliton control in reconfigurable optically-induced photonic lattices created by three interfering beams. We reveal novel dynamical regimes for strongly localized solitons, including binary switching and soliton revivals through…

Optics · Physics 2009-09-29 Ivan L. Garanovich , Andrey A. Sukhorukov , Yuri S. Kivshar

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

We report on the existence and stability of multicolor lattice vortex solitons constituted by coupled fundamental frequency and second-harmonic waves in optical lattices in quadratic nonlinear media. It is shown that the solitons are stable…

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

The motive of this work is to understand the complex spatial characteristics of finite-amplitude elastic wave propagation in periodic structures and leverage the unique opportunities offered by nonlinearity to activate complementary…

Pattern Formation and Solitons · Physics 2017-06-27 R. Ganesh , Stefano Gonella

We demonstrate that periodic modulation of the nonlinearity coefficient in the discrete nonlinear Schr\"{o}dinger (DNLS) equation can strongly facilitate creation of traveling solitons in the lattice. We predict this possibility in an…

Other Condensed Matter · Physics 2015-05-25 Jesus Cuevas , Boris A. Malomed , Panayotis G. Kevrekidis

Solitons in the fractional space, supported by lattice potentials, have recently attracted much interest. We consider the limit of deep one- and two-dimensional (1D and 2D) lattices in this system, featuring finite bandgaps separated by…

Optics · Physics 2022-01-10 Xiuye Liu , Boris A. Malomed , Jianhua Zeng

Gap solitons are localized nonlinear coherent states which have been shown both theoretically and experimentally to propagate in periodic structures. Although theory allows for their propagation at any speed $v$, $0\le v\le c$, they have…

Pattern Formation and Solitons · Physics 2009-11-07 R. H. Goodman , R. E. Slusher , M. I. Weinstein

We study optical solitons in chirped periodic optical lattices whose amplitude or frequency changes in the transverse direction. We discover that soliton propagation in such lattices can be accompanied by the progressive self-bending of the…

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

We address the formation and propagation of multi-spot soliton packets in saturable Kerr nonlinear media with an imprinted harmonic transverse modulation of the refractive index. We show that, in sharp contrast to homogeneous media where…

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