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We analyze the dynamical stability of gap solitons formed in a quasi one-dimensional Bose-Einstein condensate in an optical lattice. Using two different numerical methods we show that, under realistic assumptions for experimental…

Soft Condensed Matter · Physics 2009-11-07 Karen Marie Hilligsoe , Markus K. Oberthaler , Karl-Peter Marzlin

We numerically study the impact of Gaussian barrier height and width on the gray solitons population in a symmetric and asymmetric potential trap. The gray solitons are created in a double-well potential by the density engineering method.…

Pattern Formation and Solitons · Physics 2022-11-01 Jameel Hussain , Javed Akram , Farhan Saif

We predict the existence of surface dark solitons at the interface between a self-defocusing nonlocal nonlinear medium and a linear medium. The fundamental and higher-order surface dark solitons can exist when the linear refractive index of…

Optics · Physics 2011-03-08 XingHui Gao , Luohong Zhou , ZhenJun Yang , Xuekai Ma , Daquan Lu , Wei Hu

We show the possible stable soliton generation for the dark-state polaritons (DSPs) in an electromagnetic induced transparency (EIT) medium composed of $\Lambda$-type atoms. Whether the solitons are dark or bright can be controlled by the…

Quantum Physics · Physics 2009-11-10 Xiong-Jun Liu , Hui Jing , Mo-Lin Ge

Families of solitons in one- and two-dimensional (1D and 2D) Gross-Pitaevskii equations with the repulsive nonlinearity and a potential of the quasicrystallic type are constructed (in the 2D case, the potential corresponds to a five-fold…

Soft Condensed Matter · Physics 2009-11-11 Hidetsugu Sakaguchi , Boris A. Malomed

Optical skyrmions have been widely explored in recent years. Among them, Stokes skyrmions require sophisticated wave engineering or photonic devices for their generation. We show that Stokes skyrmions can emerge spontaneously in…

Optics · Physics 2026-05-06 Marcos G. Barriopedro , Eduardo Oliva , Miguel A. Porras

The statics, stability and dynamical properties of dark-bright soliton pairs are investigated motivated by applications in a homogeneous system of two-component repulsively interacting Bose-Einstein condensate. One of the intra-species…

Pattern Formation and Solitons · Physics 2018-05-02 G. C. Katsimiga , P. G. Kevrekidis , B. Prinari , G. Biondini , P. Schmelcher

Active fluids, such as suspensions of microswimmers, are known to self-organize into complex spatio-temporal flow patterns. An intriguing example is mesoscale turbulence, a state of dynamic vortex structures exhibiting a characteristic…

Soft Condensed Matter · Physics 2025-07-02 Henning Reinken , Sebastian Heidenreich , Markus Bär , Sabine H. L. Klapp

Dynamics and stability of solitons in two-dimensional (2D) Bose-Einstein condensates (BEC), with low-dimensional (1D) conservative plus dissipative nonlinear optical lattices are investigated. In the case of focusing media (with attractive…

Other Condensed Matter · Physics 2009-11-13 F. Kh. Abdullaev , A. Gammal , H. L. F. da Luz , Lauro Tomio

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 report on the frst experimental observation of discrete vortex solitons in two-dimensional optically-induced photonic lattices. We demonstrate strong stabilization of an optical vortex by the lattice in a self-focusing nonlinear medium…

We investigate the transverse instability of two-component solitons forming in a planar waveguide operating in the regime of strong light-matter coupling. The instability emerges as a result of the coupling between transverse diffraction of…

Pattern Formation and Solitons · Physics 2025-11-07 Alexey V. Yulin , Dmitry A. Zezyulin

We analyze two-component spatial optical vortex solitons supported by parametric wave mixing processes in a nonlinear bulk medium. We study two distinct cases of such localised waves, namely, parametric vortex solitons due to phase-matched…

Large scale vortices could play a key role in the evolution of protoplanetary disks, particularly in the dead-zone where no turbulence associated with magnetic field is expected. Their possible formation by the subcritical baroclinic…

Earth and Planetary Astrophysics · Physics 2016-08-17 P. Barge , S. Richard , S. Le Dizes

The subject of the work is the stabilization of two-dimensional (2D) two-component (vector) solitons, in media with the attractive cubic nonlinearity, against the collapse by a linear lattice (LL, which is induced by a periodic modulation…

Optics · Physics 2015-05-20 Olga V. Borovkova , Boris A. Malomed , Yaroslav V. Kartashov

We theoretically explore the dynamics of spatial solitons in nonlinear/interacting bosonic topological insulators. We employ a time-reversal broken Lieb-lattice analog of a Chern insulator and find that in the presence of a saturable…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 Jeremy L. Marzuola , Mikael Rechtsman , Braxton Osting , Miguel Bandres

The effect of dipolar orientation with respect to the soliton plane on the physics of two-dimensional bright solitons in dipolar Bose-Einstein condensates is discussed. Previous studies on such a soliton involved dipoles either…

We examine the existence and stability of nonlinear discrete vortex solitons in a square lattice when the standard discrete Laplacian is replaced by a fractional version. This creates a new, effective site-energy term, and a coupling among…

Pattern Formation and Solitons · Physics 2021-05-19 Cristian Mejía-Cortés , Mario I. Molina

We discuss how to construct stable multidimensional extensions of one-dimensional dark solitons, the so-called soliton stripes, in two-species Bose-Einstein condensates in the immiscible regime. We show how using a second component to fill…

Quantum Gases · Physics 2011-06-09 Valeriy A. Brazhnyi , Víctor M. Pérez-García

Exciton-polaritons have been shown to be an optimal system in order to investigate the properties of bosonic quantum fluids. We report here on the observation of dark solitons in the wake of engineered circular obstacles and their decay…

Quantum Gases · Physics 2011-12-13 G. Grosso , G. Nardin , F. Morier-Genoud , Y. Léger , B. Deveaud-Plédran
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