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As is known, a solitary pulse in the complex cubic Ginzburg-Landau (GL) equation is unstable. We demonstrate that a system of two linearly coupled GL equations with gain and dissipation in one subsystem and pure dissipation in another…

patt-sol · Physics 2009-10-28 Boris Malomed , Herbert Winful

We revisit on rational solution of Sasa-Satsuma equation, which can be used to describe evolution of optical field in a nonlinear fiber with some high-order effects. We find a striking dynamical process which involves both modulational…

Pattern Formation and Solitons · Physics 2016-04-08 Li-Chen Zhao , Sheng-Chang Li , Liming Ling

The stability of optical solitons is a crucial factor in various applications. This work reveals a novel stable multipulse soliton attractor in fiber lasers. The attractor represents a bound state of multiple solitons, pulling other…

Optics · Physics 2025-08-26 Xuepeng Wang , Haoyu Feng , Zhentao Ju , Boris A. Malomed , Chaoqing Dai

We study numerically and experimentally supercontinuum generation in optical fibers with dark and bright solitons simultaneously contributing into the spectral broadening and dispersive wave generation. We report a novel type of weak…

We consider the problem of the formation of soliton states from a modulationally unstable initial condition in the framework of the Schr\"odinger-Poisson (or Newton-Schr\"odinger) equation accounting for gravitational interactions. We…

Pattern Formation and Solitons · Physics 2021-12-10 Josselin Garnier , Kilian Baudin , Adrien Fusaro , Antonio Picozzi

We study exciton-polariton nonlinear optical fluids in a high momentum regime for the first time. Defects in the fluid develop into dark solitons whose healing length decreases with increasing density. We deduce interaction constants for…

Discrete solitons in the Ablowitz-Ladik (AL) and discrete nonlinear Schr\"odinger (DNLS) equations with damping and strong rapid drive are investigated. The averaged equations have the forms of the parametric AL and DNLS equations. A new…

Pattern Formation and Solitons · Physics 2015-06-26 Josselin Garnier , Fatkhulla Abdullaev , Mario Salerno

The introduction of nonlinearities into lattices with topological band structures has led to the discovery of various types of solitons. The Su-Schrieffer-Heeger (SSH) lattice, as the most fundamental topological model, has been extended…

Pattern Formation and Solitons · Physics 2026-05-05 Rujiang Li , Muhammad Imran , Wencai Wang , Yongtao Jia , Ying Liu

The basic features of nucleus-acoustic (NA) envelope bright and dark solitons, which exist in degenerate quantum plasmas, have been theoretically investigated by deriving the nonlinear Schr\"odinger (NLS) equation. The reductive…

Plasma Physics · Physics 2017-06-20 N. A. Chowdhury , M. M. Hasan , A. Mannan , A. A. Mamun

We examine the spectral properties of single and multiple matter-wave dark solitons in Bose-Einstein condensates confined in parabolic traps, where the scattering length is periodically modulated. In addition to the large-density limit…

Pattern Formation and Solitons · Physics 2017-05-24 P. G. Kevrekidis , R. Carretero-Gonzalez , D. J. Frantzeskakis

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

A ring dark soliton is a dark soltion occurring in higher dimensions. It is still unknown in microcavity-polariton condensates due to its instability. We find that a stable RDS cannot exist in a MPC without a defect. We then propose a way…

Optics · Physics 2018-04-17 Szu-Cheng Cheng , Ting-Wei Chen

Generating high output powers while achieving narrow line single mode lasing are often mutual exclusive properties of commercial laser diodes. For this reason, efficient and scalable amplification of narrow line laser light is still a major…

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 use the high-order nonlinear Schr\"{o}dinger equation (NLSE) derived to model the evolution of slowly modulated wave trains with narrow spectrum on the surface of ideal finite-depth fluid. This equation is the finite-depth counterpart of…

Pattern Formation and Solitons · Physics 2022-12-08 I. S. Gandzha , Yu. V. Sedletsky

In this paper, we give a proof of the existence of stationary dark soliton solutions or heteroclinic orbits of nonlinear equations of Schr\"odinger type with periodic inhomogeneous nonlinearity. The result is illustrated with examples of…

Pattern Formation and Solitons · Physics 2015-05-20 J. Belmonte-Beitia , J. Cuevas

We study heteroclinic standing waves (dark solitons) in discrete nonlinear Schr\"{o}dinger equations with defocussing nonlinearity. Our main result is a quite elementary existence proof for waves with monotone and odd profile, and relies on…

Mathematical Physics · Physics 2010-11-15 Michael Herrmann

We present the phase diagram, the underlying stability and magnetic properties as well as the dynamics of nonlinear solitary wave excitations arising in the distinct phases of a harmonically confined spinor $F=1$ Bose-Einstein condensate.…

Pattern Formation and Solitons · Physics 2021-02-16 G. C. Katsimiga , S. I. Mistakidis , P. Schmelcher , P. G. Kevrekidis

Solitons and vortices obtain widespread attention in different physical systems as they offer potential use in information storage, processing, and communication. In exciton-polariton condensates in semiconductor microcavities, solitons and…

Optics · Physics 2017-04-19 Xuekai Ma , Oleg A. Egorov , Stefan Schumacher

Wave Dark Matter (WaveDM) has recently gained attention as a viable candidate to account for the dark matter content of the Universe. In this paper we explore the extent to which dark matter halos in this model, and under what conditions,…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-08 Antonio Herrera-Martín , Martin Hendry , Alma X. Gonzalez-Morales , L. Arturo Ureña-López
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