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Related papers: Solitons in one-dimensional photonic crystals

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We report families of two-dimensional (2D) composite solitons in spinor dipolar Bose-Einstein condensates, with two localized components linearly mixed by the spin-orbit coupling (SOC), and the intrinsic nonlinearity represented by the…

Pattern Formation and Solitons · Physics 2016-02-24 Xunda Jiang , Zhiwei Fan , Zhaopin Chen , Wei Pang , Yongyao Li , Boris A. Malomed

Two-dimensional (2D) equations describing the nonlinear interaction between upper-hybrid and dispersive magnetosonic waves are presented. Nonlocal nonlinearity in the equations results in the possibility of existence of stable 2D nonlinear…

Plasma Physics · Physics 2009-11-13 V. M. Lashkin

Dissipative Kerr solitons in optical microresonators provide a unifying framework for nonlinear optical physics with photonic-integrated technologies and have recently been employed in a wide range of applications from coherent…

We introduce multi-soliton sets in the two-dimensional medium with the second-harmonic-generating nonlinearity subject to spatial modulation in the form of a triangle of singular peaks. Various families of symmetric and asymmetric sets are…

Pattern Formation and Solitons · Physics 2018-11-14 Vitaly Lutsky , Boris A. Malomed

We demonstrate a possibility of the creation of stable optical solitons combining one continuous and one discrete coordinate, with embedded vorticity, in an array of planar waveguides with intrinsic cubic-quintic nonlinearity. The same…

Pattern Formation and Solitons · Physics 2021-02-02 Xiaoxi Xu , Guanghao Ou , Zhaopin Chen , Bin Liu , Weicheng Chen , Boris A. Malomed , Yongyao Li

We predict new generic types of vorticity-carrying soliton complexes in a class of physical systems including an attractive Bose-Einstein condensate in a square optical lattice (OL) and photonic lattices in photorefractive media. The…

Other Condensed Matter · Physics 2015-06-25 Hidetsugu Sakaguchi , Boris Malomed

Solitons are localised wave disturbances that propagate without changing shape, a result of a nonlinear interaction which compensates for wave packet dispersion. Individual solitons may collide, but a defining feature is that they pass…

Quantum Gases · Physics 2014-12-10 Jason H. V. Nguyen , Paul Dyke , De Luo , Boris A. Malomed , Randall G. Hulet

We study, both theoretically and experimentally, the scattering properties of optical dipole-mode vector solitons - radially asymmetric composite self-trapped optical beams. First, we analyze the soliton collisions in an isotropic…

In this paper, we employ, for the first time, the holographic gravity approach to investigate the dynamical stability of solitons in spherical superfluids. Transverse perturbations are applied to the background of spherical soliton…

High Energy Physics - Theory · Physics 2025-10-29 Meng Gao , Yu Tian , Changxu Yan , Hongbao Zhang

We study solitons in the two-dimensional defocusing nonlinear Schroedinger equation with the spatio-temporal modulation of the external potential. The spatial modulation is due to a square lattice; the resulting macroscopic diffraction is…

Pattern Formation and Solitons · Physics 2015-05-30 Ramon Herrero , I. V. Barashenkov , N. V. Alexeeva , Kestutis Staliunas

We demonstrate that an array of discrete waveguides on a slab substrate, both featuring the $\chi^{2}$ nonlinearity, supports stable solitons composed of discrete and continuous components. Two classes of fundamental composite solitons are…

Pattern Formation and Solitons · Physics 2009-11-11 Nicolae C. Panoiu , Richard M. Osgood , Boris A. Malomed

We study the mobility of solitons in second-harmonic-generating lattices. Contrary to what is known for their cubic counterparts, discrete quadratic solitons are mobile not only in the one-dimensional (1D) setting, but also in two…

Pattern Formation and Solitons · Physics 2010-12-10 H. Susanto , P. G. Kevrekidis , R. Carretero-Gonzalez , Boris A. Malomed , D. J. Frantzeskakis

We propose an experimentally relevant scheme to create stable solitons in a three-dimensional Bose-Einstein condensate confined by a one-dimensional optical lattice, using temporal modulation of the scattering length (through ac magnetic…

Quantum Physics · Physics 2007-05-23 M. Trippenbach , M. Matuszewski , B. A. Malomed

We predict the existence of stable fundamental and vortical bright solitons in dipolar Bose-Einstein condensates (BECs) with repulsive dipole-dipole interactions (DDI). The condensate is trapped in the 2D plane with the help of the…

Quantum Gases · Physics 2013-08-26 R. Kishor Kumar , P. Muruganandam , B. A. Malomed

We consider a two-dimensional (2D) two-component spinor system with cubic attraction between the components and intra-species self-repulsion, which may be realized in atomic Bose-Einstein condensates, as well as in a quasi-equilibrium…

Solitons occur in many physical systems when a nonlinearity compensates wave dispersion. Their recent formation in microresonators opens a new research direction for nonlinear optical physics and provides a platform for miniaturization of…

Optics · Physics 2017-05-04 Qi-Fan Yang , Xu Yi , Ki Youl Yang , Kerry Vahala

We report an observation of a stable soliton-like structure on the surface of a ferrofluid, generated by a local perturbation in the hysteretic regime of the Rosensweig instability. Unlike other pattern-forming systems with localized 2D…

Pattern Formation and Solitons · Physics 2009-11-11 Reinhard Richter , I. V. Barashenkov

We study effects of the spontaneous symmetry-breaking (SSB) in solitons built of the dipolar Bose-Einstein condensate (BEC), trapped in a dual-core system with the dipole-dipole interactions (DDIs) and hopping between the cores. Two…

Quantum Gases · Physics 2015-06-12 Yongyao Li , Jingfeng Liu , Wei Pang , Boris A. Malomed

We study the formation of solitons inside scalar-field dark matter halos with a non-polynomial self-interaction potential. We consider a self-interaction potential that is quartic in the scalar field in the low-density regime but saturates…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-31 Raquel Galazo García , Philippe Brax , Patrick Valageas

An experimental procedure for studying soliton gases in shallow water is devised. Nonlinear waves propagate at constant depth in a 34\,m-long wave flume. At one end of the flume, the waves are generated by a piston-type wave-maker. The…

Fluid Dynamics · Physics 2022-09-09 Ivan Redor , Eric Barthélemy , Nicolas Mordant , Hervé Michallet