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We develop a variational theory of the crossover from the one-dimensional (1D) regime to the 3D regime for ultra-cold Bose gases in thin waveguides. Within the 1D regime we map out the parameter space for fermionization, which may span the…

Soft Condensed Matter · Physics 2009-11-07 Kunal K. Das , M. D. Girardeau , E. M. Wright

We show experimentally the existence of bright and dark spatial solitons in a passive quantum-well-semiconductor resonator of large Fresnel number. For the wavelength of observation the nonlinearity is mixed absorptive/defocusing. Bright…

Pattern Formation and Solitons · Physics 2007-05-23 V. B. Taranenko , I. Ganne , R. J. Kuszelewicz , C. O. Weiss

In the present work we consider the subject of dark fractional solitary waves in the realm of generalized (fractional) forms of the nonlinear Schr\"odinger (NLS) equation. While earlier studies have examined such states in the realm of real…

Pattern Formation and Solitons · Physics 2026-05-21 Almudena P. Márquez , Jesús Cuevas-Maraver , Panayotis G. Kevrekidis

This article offers a comprehensive survey of results obtained for solitons and complex nonlinear wave patterns supported by purely nonlinear lattices (NLs), which represent a spatially periodic modulation of the local strength and sign of…

Optics · Physics 2015-05-20 Yaroslav V. Kartashov , Boris A. Malomed , Lluis Torner

Combining the dark matter and muon $g-2$ anomaly, we study the $U(1)_{L_\mu-L_\tau}$ breaking phase transition, gravitational wave spectra, and the direct detection at the LHC in an extra $U(1)_{L_\mu-L_\tau}$ gauge symmetry extension of…

High Energy Physics - Phenomenology · Physics 2024-02-07 Jie Wang , Jinghong Ma , Jing Gao , Xiao-Fang Han , Lei Wang

We consider potential type dynamical systems in finite dimensions with two meta-stable states. They are subject to two sources of perturbation: a slow external periodic perturbation of period $T$ and a small Gaussian random perturbation of…

Probability · Mathematics 2007-05-23 Samuel Herrmann , Peter Imkeller , Dierk Peithmann

We present the study of the dark soliton dynamics in an inhomogenous fiber by means of a variable coefficient modified nonlinear Schr\"{o}dinger equation (Vc-MNLSE) with distributed dispersion, self-phase modulation, self-steepening and…

Pattern Formation and Solitons · Physics 2017-02-10 N. M. Musammil , K. Porsezian , K. Nithyanandan , P. A. Subha , P. Tchofo Dinda

A theoretical investigation has been made to study the modulation stability/instability of three-dimensional dust-ion-acoustic wave packets in the warm magnetized complex plasma system in the presence of nonthermal distributed electrons and…

Plasma Physics · Physics 2023-06-12 A. Parvez , A. Mannan , M. N. Haque , A. A. Mamun

We predict that strong coupling between waveguide photons and excitons of quantum well embedded into waveguide results in the formation of hybrid dark and anti-dark light-matter solitons. Such temporal solitons exist due to interplay…

Optics · Physics 2016-05-04 Yaroslav V. Kartashov , Dmitry V. Skryabin

We compute the quasinormal frequencies of d-dimensional large spherically symmetric black holes with Gauss-Bonnet corrections in the highly damped regime. We solve perturbatively the master differential equation and we compute the…

High Energy Physics - Theory · Physics 2023-06-27 Filipe Moura , João Rodrigues

By means of Monte Carlo simulations we show that there are two qualitatively different modes of localization of classical waves in 1-{\em D} random periodic-on-average systems. States from pass bands and band edges of the underlying band…

Disordered Systems and Neural Networks · Physics 2009-10-31 Lev I. Deych , D. Zaslavsky , A. A. Lisyansky

We investigate the soliton structure of novel (2+1)-dimensional nonlinear partial differential evolution(NLPDE) equations which may govern the behavior of a barothropic relaxing medium beneath high-frequency perturbations. As a result, we…

Mathematical Physics · Physics 2007-09-28 Kuetche Kamgang Victor , Bouetou Bouetou Thomas , Timoleon Crepin Kofane

We consider the dynamics of internal envelope solitons in a two-layer rotating fluid with a linearly varying bottom. It is shown that the most probable frequency of a carrier wave which constitutes the solitary wave is the frequency where…

Fluid Dynamics · Physics 2019-03-25 Yury Stepanyants

We investigate the dynamics of bright matter wave solitons in spin-1 Bose-Einstein condensates with time modulated nonlinearities. We obtain soliton solutions of an integrable autonomous three-coupled Gross-Pitaevskii (3-GP) equations using…

Pattern Formation and Solitons · Physics 2014-01-08 T. Kanna , R. Babu Mareeswaran , K. Sakkaravarthi

The existence, stability, and dynamics of bound pairs of symbiotic matter waves in the form of dark-bright soliton pairs in two-component mixtures of atomic Bose-Einstein condensates is investigated. Motivated by the tunability of the…

Quantum Gases · Physics 2017-03-16 G. C. Katsimiga , J. Stockhofe , P. G. Kevrekidis , P. Schmelcher

We present numerical simulations of fully nonlinear drift wave-zonal flow (DW-ZF) turbulence systems in a nonuniform magnetoplasma. In our model, the drift wave (DW) dynamics is pseudo-three-dimensional (pseudo-3D) and accounts for…

Plasma Physics · Physics 2015-05-14 P. K. Shukla , Dastgeer Shaikh

We investigate the stability of dark solitons (DSs) in an effectively one-dimensional Bose-Einstein condensate in the presence of the magnetic parabolic trap and an optical lattice (OL). The analysis is based on both the full…

Other Condensed Matter · Physics 2010-12-10 P. G. Kevrekidis , R. Carretero-González , G. Theocharis , D. J. Frantzeskakis , B. A. Malomed

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

In this manuscript we track the evolution of a system consisting of two self-gravitating virialized objects made of a scalar field in the newtonian limit. The Schr\"odinger-Poisson system contains a potential with self-interaction of the…

Astrophysics · Physics 2008-11-26 Argelia Bernal , F. Siddhartha Guzman

We consider dark soliton in a Bose-Einstein condensate in the presence of a weak disorder potential. Deformation of the soliton shape is analyzed within the Bogoliubov approach and by employing expansion in eigenstates of the…

Quantum Gases · Physics 2012-02-23 Małgorzata Mochol , Marcin Płodzień , Krzysztof Sacha
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