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The dynamics of dark matter-wave solitons in elongated atomic condensates are discussed at finite temperatures. Simulations with the stochastic Gross-Pitaevskii equation reveal a noticeable, experimentally observable spread in individual…

Nonlinear wave propagation is studied analytically in a dissipative, self-gravitating Bose Einstein condensate, in the framework of Gross-Pitaevskii model. The linear dispersion relation shows that the effect of dissipation is to suppress…

Quantum Gases · Physics 2017-03-27 Biswajit Sahu , Anjana Sinha , R. Roychoudhury

We calculate the intensity of the polariton mediated inelastic light scattering in semiconductor microcavities. We treat the exciton-photon coupling nonperturbatively and incorporate lifetime effects in both excitons and photons, and a…

Strongly Correlated Electrons · Physics 2008-05-04 L. M. Leon Hilario , A. Bruchhausen , A. M. Lobos , A. A. Aligia

We experimentally demonstrate the formation and stable propagation of various types of discrete temporal solitons in an optical fiber system. Pulses interacting with a time-periodic potential and defocusing nonlinearity are shown to form…

Pattern Formation and Solitons · Physics 2012-08-31 Christoph Bersch , Georgy Onishchukov , Ulf Peschel

We present a first-principles derivation of the variational equations describing the dynamics of the interaction of a spatial soliton and a surface plasmon polariton (SPP) propagating along a metal/dielectric interface. The variational…

Pattern Formation and Solitons · Physics 2015-06-12 A. Ferrando , C. Milián , D. V. Skryabin

We consider a system of two reaction-diffusion-advection equations describing the one dimensional directed motion of particles with superimposed diffusion and mutual alignment. For this system we show the existence of traveling wave…

Analysis of PDEs · Mathematics 2021-01-19 Heinrich Freistühler , Jan Fuhrmann

This review article provides a concise summary of one- and two-dimensional models for the propagation of linear and nonlinear waves in fractional media. The basic models, which originate from fractional quantum mechanics and more…

Pattern Formation and Solitons · Physics 2024-01-10 Boris A. Malomed

In this paper, a generalized long-wave short-wave resonance interaction system, which describes the nonlinear interaction between a short-wave and a long-wave in fluid dynamics, plasma physics and nonlinear optics, is considered. Using the…

Pattern Formation and Solitons · Physics 2022-06-22 M. Kirane , S. Stalin , M. Lakshmanan

We report on polariton states bound to defects in planar GaAs/AlAs microcavities grown by molecular beam epitaxy. The defect types relevant for the spatial polariton dynamics in these structures are cross-hatch misfit dislocations, and…

Materials Science · Physics 2012-04-16 Joanna M Zajac , Wolfgang Langbein , Maxime Hugues , Mark Hopkinson

In a recent one-dimensional numerical fluid simulation study [Saxena et al., Phys. Plasmas 13,032309 (2006)], it was found that an instability is associated with a special class of one-dimensional nonlinear solutions for modulated light…

Plasma Physics · Physics 2008-09-12 Vikrant Saxena , Amita Das , Sudip Sengupta , Predhiman Kaw , Abhijit Sen

Nonlinear light propagation in a single-mode micron-size waveguide made of semiconducting excitonic material has been theoretically studied in terms of exciton-polaritons by using an analysis based on macroscopic fields. When a light pulse…

Materials Science · Physics 2011-05-24 Oleksii A. Smyrnov , Fabio Biancalana , Stefan Malzer

In this work we study wave propagation in dissipative relativistic fluids described by a simplified set of the 2nd order viscous conformal hydrodynamic equations. Small amplitude waves are studied within the linearization approximation…

Nuclear Theory · Physics 2015-02-27 D. A. Fogaça , H. Marrochio , F. S. Navarra , J. Noronha

Gravitational wave observations have significantly broadened our capacity to explore fundamental physics beyond the Standard Model, providing crucial insights into dark matter that are inaccessible through conventional methods. Here, we…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-21 Jeong Han Kim , Xing-Yu Yang

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

We investigate the propagation of one-dimensional bright and dark spatial solitons in a nonlocal Kerr-like media, in which the nonlocality is of general form. We find an exact analytical solution to the nonlinear propagation equation in the…

Pattern Formation and Solitons · Physics 2009-10-31 Wieslaw Krolikowski , Ole Bang

The existence of soliton-like electromagnetic (EM) distributions in a fully degenerate electron-positron plasma is studied applying relativistic hydrodynamic and Maxwell equations. For circularly polarized wave it is found that the soliton…

Plasma Physics · Physics 2015-05-20 V. I. Berezhiani , N. L. Shatashvili , N. L. Tsintsadze

We consider the propagation of a dark soliton in a quasi 1D Bose-Einstein condensate in presence of a random potential. This configuration involves nonlinear effects and disorder, and we argue that, contrarily to the study of stationary…

Other Condensed Matter · Physics 2009-11-11 N. Bilas , N. Pavloff

Planar microcavities filled with active materials containing excitonic resonances host radiative exciton-polariton (polariton) modes with in-plane wave vectors within the light cone. They also host at least one mode guided in the cavity…

We observe ground-state polariton condensation in a two dimensional GaAs/AlAs semiconductor microcavity under non resonant pulsed optical excitation. We resolve the formation of a polariton condensate by studying the spatial, angular,…

Materials Science · Physics 2009-07-23 M. Maragkou , A. J. D. Grundy , P. G. Lagoudakis

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
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