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Related papers: Dark solitons in laser radiation build-up dynamics

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We have studied stationary and quasi-stationary signal light pulses in cold lambda-type atomic media driven by counterpropagating control laser fields at the condition of electromagnetically induced transparency. By deriving a dispersion…

Optics · Physics 2015-06-18 S. A. Moiseev , A. I. Sidorova , B. S. Ham

It is shown that three or more dark/gray solitons can form bound states in nonlocal media. More over dark/gray solitons can form bound states in several balance distances. Numerical simulations indicate that some of such bound states are…

Optics · Physics 2011-05-05 Shigen Ouyang , Wei Hu , Qi Guo

We study quantum dynamics of a dark soliton in a one-dimensional Bose gas in an optical lattice within the truncated Wigner approximation. A previous work has revealed that in the absence of quantum fluctuations, dynamical stability of the…

Quantum Gases · Physics 2020-08-26 Yusuke Ozaki , Kazuma Nagao , Ippei Danshita , Kenichi Kasamatsu

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…

In the present work, we revisit two-component Bose-Einstein condensates in their fully three-dimensional (3d) form. Motivated by earlier studies of dark-bright solitons in the 1d case, we explore the stability of these structures in their…

Quantum Gases · Physics 2017-03-08 Wenlong Wang , P. G. Kevrekidis

We study dynamics of dark solitons in the theory of the DNLS equation by the method based on imposing the condition that this dynamics must be Hamiltonian. Combining this condition with Stokes' remark that relationships for harmonic linear…

Pattern Formation and Solitons · Physics 2024-07-08 A. M. Kamchatnov , D. V. Shaykin

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

The fluctuating and dissipative dynamics of matter-wave dark solitons within harmonically trapped, partially condensed Bose gases is studied both numerically and analytically. A study of the stochastic Gross-Pitaevskii equation, which…

We use a multiple time scale boundary layer theory to derive the equation of motion for a dark (or `grey') soliton propagating through an effectively one-dimensional cloud of Bose-Einstein condensate, assuming only that the background…

Condensed Matter · Physics 2009-10-31 Th. Busch , J. R. Anglin

We study noise-induced perturbations of dispersion-managed solitons by developing soliton perturbation theory for the dispersion-managed nonlinear Schroedinger (DMNLS) equation, which governs the long-term behavior of optical fiber…

Pattern Formation and Solitons · Physics 2009-11-13 Jinglai Li , Elaine Spiller , Gino Biondini

Motivated by recent proposals of ``collisionally inhomogeneous'' Bose-Einstein condensates (BECs), which have a spatially modulated scattering length, we study the existence and stability properties of bright and dark matter-wave solitons…

Pattern Formation and Solitons · Physics 2009-11-13 A. S. Rodrigues , P. G. Kevrekidis , Mason A. Porter , D. J. Frantzeskakis , P. Schmelcher , A. R. Bishop

The bright soliton in optical fiber is generally investigated via its spatial evolution in the time domain, where its waveform is considered in many studies. To be consistent with the well-established picture of the dynamics of solitons in…

Optics · Physics 2007-05-23 Yi Tang , Wei Wang

We present the results of a full cosmological simulation with the new code SCALAR, where dark matter is in form of fuzzy dark matter, described by a light scalar field with a mass of $m_{\rm B} = 2.5 \times 10^{-22}$ eV and evolving…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-08 Mattia Mina , David F. Mota , Hans A. Winther

We investigate the existence and linear stability of solitons in the nonlinear Schr\"odinger lattices in the strong coupling regime. Focusing and defocusing nonlinearities are considered, giving rise to bright and dark solitons. In this…

Pattern Formation and Solitons · Physics 2025-07-21 Farrell Theodore Adriano , Abrari Noor Hasmi , Rudy Kusdiantara , Hadi Susanto

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 study the influences to the discrete soliton (DS) by introducing linearly long-range nonlocal interactions, which give rise to the off-diagonal elements of the linearly coupled matrix in the discrete nonlinear schrodinger equation to be…

Optics · Physics 2014-11-24 Zhijie Mai , Shenhe Fu , Jianxiong Wu , Yongyao Li

We study spatial optical solitons in a one-dimensional nonlinear photonic crystal created by an array of thin-film nonlinear waveguides, the so-called Dirac-comb nonlinear lattice. We analyze modulational instability of the extended…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey A. Sukhorukov , Yuri S. Kivshar

Dynamics of solitons is considered in an extended nonlinear Schr\"odinger equation, including a pseudo-stimulated-Raman-scattering (pseudo-SRS) term (scattering on damping low-frequency waves, third-order dispersion (TOD) and inhomogeneity…

Pattern Formation and Solitons · Physics 2016-03-01 A. V. Aseeva , L. G. Blyakhman , E. M. Gromov , V. V. Tyutin

We consider the ultrashort light pulse propagation through an inhomogeneous monomodal optical fiber exhibiting higher-order dispersive effects. Wave propagation is governed by a generalized nonlinear Schr\"{o}dinger equation with varying…

Pattern Formation and Solitons · Physics 2020-05-06 Houria Triki , Vladimir I. Kruglov

We present three types of dark solitons in quasi-one-dimensional spin-orbit coupled repulsive Bose-Einstein condensates. Among these families, two are always stable, while the third one is only stable sufficiently close to the linear…

Quantum Gases · Physics 2013-08-06 V. Achilleos , J. Stockhofe , P. G. Kevrekidis , D. J. Frantzeskakis , P. Schmelcher
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