English
Related papers

Related papers: Surface dark solitons in nonlocal nonlinear media

200 papers

We address the stabilization of dipole solitons in nonlocal nonlinear materials by two different approaches. First, we study the properties of such solitons in thermal nonlinear media, where the refractive index landscapes induced by laser…

Pattern Formation and Solitons · Physics 2009-11-13 Fangwei Ye , Yaroslav V. Kartashov , Lluis Torner

Dark solitons and localized defect modes against periodic backgrounds are considered in arrays of waveguides with defocusing Kerr nonlinearity constituting a nonlinear lattice. Bright defect modes are supported by local increase of the…

Pattern Formation and Solitons · Physics 2021-11-02 Liangwei Zeng , Vladimir V. Konotop , Xiaowei Lu , Yi Cai , Qifan Zhu , Jingzhen Li

We address the properties of two-dimensional surface solitons supported by the interface of a waveguide array whose nonlinearity is periodically modulated. When the nonlinearity strength reaches its minima at the points where the linear…

The general theory of dark solitons relies on repulsive interactions and therefore predicts the impossibility to form dark-soliton bound states. One important exception to this prediction is the observation of bound solitons in non-local…

Nonlocality is a key feature of many physical systems since it prevents a catastrophic collapse and a symmetry-breaking azimuthal instability of intense wave beams in a bulk self-focusing nonlinear media. This opens up an intriguing…

Pattern Formation and Solitons · Physics 2017-02-16 V. M. Biloshytskyi , A. O. Oliynyk , P. M. Kruglenko , A. S. Desyatnikov , A. I. Yakimenko

We discuss existence and stability of two-dimensional solitons in media with spatially nonlocal nonlinear response. We show that such systems, which include thermal nonlinearity and dipolar Bose Einstein condensates, may support a variety…

Pattern Formation and Solitons · Physics 2007-05-23 S. Skupin , O. Bang , D. Edmundson , W. Krolikowski

We reveal that nonlocality can provide a simple physical mechanism for stabilization of multi-hump optical solitons, and present the first example of stable rotating dipole solitons and soliton spiraling, known to be unstable in all types…

Pattern Formation and Solitons · Physics 2013-09-06 Servando Lopez-Aguayo , Anton S. Desyatnikov , Yuri S. Kivshar , Stefan Skupin , Wieslaw Krolikowski , Ole Bang

We reveal that spatially localized vortex solitons become stable in self-focusing nonlinear media when the vortex symmetry-breaking azimuthal instability is eliminated by a nonlocal nonlinear response. We study the main properties of…

Pattern Formation and Solitons · Physics 2009-11-10 Alexander Yakimenko , Yuri Zaliznyak , Yuri Kivshar

We demonstrate the existence of stable three-dimensional spatiotemporal solitons (STSs) in media with a nonlocal cubic nonlinearity. Fundamental (nonspinning) STSs forming one-parameter families are stable if their propagation constant…

Pattern Formation and Solitons · Physics 2009-11-11 D. Mihalache , D. Mazilu , F. Lederer , B. A. Malomed , Y. V. Kartashov , L. -C. Crasovan , L. Torner

The formation of unstaggered localized modes in dynamical lattices can be supported by the interplay of discreteness and nonlinearity with a finite relaxation time. In rapidly responding nonlinear media, on-site discrete solitons are…

Pattern Formation and Solitons · Physics 2015-05-19 A. Maluckov , Lj. Hadzievski , B. A. Malomed

We study gray solitons in nonlocal nonlinear media and show that they are stable and can form bound states. We reveal that gray soliton velocity depends on the nonlocality degree, and that it can be drastically reduced in highly nonlocal…

Optics · Physics 2009-11-13 Yaroslav V. Kartashov , Lluis Torner

We show theoretically that dark solitons can exist in the presence of pure quartic dispersion, and also in the presence of both quadratic and quartic dispersive effects, displaying a much greater variety of possible solutions and dynamics…

Pattern Formation and Solitons · Physics 2022-03-09 Tristram J. Alexander , G. A. Tsolias , A. Demirkaya , Robert J. Decker , C. Martijn de Sterke , P. G. Kevrekidis

We predict that a photonic crystal fiber whose strands are filled with a defocusing nonlinear medium can support stable bright and also vortex solitons if the strength of the defocusing nonlinearity grows toward the periphery of the fiber.…

Vortex solitons (dark solitons) are described in self-defocusing Kerr media whose phase line singularity is not parallel to the propagation direction, but is perpendicular or tilted almost arbitrary angles, depending on the medium linear…

Optics · Physics 2022-01-05 Miguel A. Porras

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 uncover that, in contrast to the common belief, stable dissipative solitons exist in media with uniform gain in the presence of nonuniform cubic losses, whose local strength grows with coordinate x (in one dimension) faster than |x|. The…

Pattern Formation and Solitons · Physics 2015-06-03 Olga V. Borovkova , Yaroslav V. Kartashov , Victor A. Vysloukh , Valery E. Lobanov , Boris A. Malomed , Lluis Torner

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 examine the existence and stability of discrete spatial solitons in coupled nonlinear lasing cavities (waveguide resonators), addressing the case of active defocusing media, where the gain exceeds damping in the low-amplitude limit. A…

We overview the properties of nonlinear guided waves and (bright and dark) spatial optical solitons in a periodic medium created by a sequence of linear and nonlinear layers. First, we consider a single layer with a cubic nonlinear response…

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

We discover multipole-mode solitons supported by the surface between two distinct periodic lattices imprinted in Kerr-type nonlinear media. Such solitons are possible because the refractive index modulation at both sides of the interface…

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