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The creation and interaction of dark solitons in a two-component Bose-Einstein condensate is investigated. For a miscible case, the interaction of dark solitons in different components is studied. Various possible scenarios are presented,…

Soft Condensed Matter · Physics 2013-05-29 P. Ohberg , L. Santos

In this paper, we employ, for the first time, the holographic gravity approach to investigate the dynamical stability of solitons in spherical superfluids. Transverse perturbations are applied to the background of spherical soliton…

High Energy Physics - Theory · Physics 2025-10-29 Meng Gao , Yu Tian , Changxu Yan , Hongbao Zhang

Soliton propagation dynamics under the presence of a complex potential are investigated. A large variety of qualitatively different potentials, including periodic, semi-infinite periodic and localized potentials, is considered. Cases of…

Pattern Formation and Solitons · Physics 2014-09-18 Yannis Kominis

We report that defocusing cubic media with spatially inhomogeneous nonlinearity, whose strength increases rapidly enough toward the periphery, can support stable bright localized modes. Such nonlinearity landscapes give rise to a variety of…

Thanks to their immense purity and controllability, dipolar Bose-Einstein condensates are an exemplar for studying fundamental non-local nonlinear physics. Here we show that a family of fundamental nonlinear waves - the dark solitons - are…

Quantum Gases · Physics 2017-07-05 T. Bland , K. Pawlowski , M. J. Edmonds , K. Rzazewski , N. G. Parker

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

Solitons are self-sustained wavepackets that occur in many physical systems. Their recent demonstration in optical microresonators has provided a new platform for study of nonlinear optical physics with practical implications for…

Optics · Physics 2018-10-24 Xu Yi , Qi-Fan Yang , Ki Youl Yang , Kerry Vahala

We study a two-component nonlinear Schr{\"{o}}dinger system with equal, repulsive cubic interactions and different dispersion coefficients in the two components. We consider states that have a dark solitary wave in one component. Treating…

Pattern Formation and Solitons · Physics 2015-01-28 E. G. Charalampidis , P. G. Kevrekidis , D. J. Frantzeskakis , B. A. Malomed

We numerically generate, and then study the basic properties of dark soliton-like excitations in a dipolar gas confined in a quasi one dimensional trap. These excitations, although very similar to dark solitons in a gas with contact…

Quantum Gases · Physics 2015-11-16 Krzysztof Pawlowski , Kazimierz Rzazewski

Generation of dark solitons from large initial excitations and their evolution in a quasi-one-dimensional Bose-Einstein condensate trapped by a harmonic potential is studied analytically and numerically. In the case of a single deep soliton…

Soft Condensed Matter · Physics 2007-05-23 V. A. Brazhnyi , A. M. Kamchatnov , V. V. Konotop

Dark solitons carrying quantized phase information arouse great interest in different nonlinear systems. A dark soliton in 1D can be stabilized in microcavity polariton condensates as a confinement is imposed on it to prevent its decay.…

Optics · Physics 2024-11-25 Jinming Sun , Manna Chen , Stefan Schumacher , Wei Hu , Xuekai Ma

Most of previously reported dark-bright solitons admit identical width for the two components in both theoretical and experimental studies. We report dark-bright solitons can admit strikingly different widths, and derive a family of…

Pattern Formation and Solitons · Physics 2024-03-20 Ning Mao , Li-Chen Zhao

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

Droplet solitons are a strongly nonlinear, inherently dynamic structure in the magnetization of ferromagnets, balancing dispersion (exchange energy) with focusing nonlinearity (strong perpendicular anisotropy). Large droplet solitons have…

Pattern Formation and Solitons · Physics 2015-06-29 L. D. Bookman , M. A. Hoefer

We revisit the collisional dynamics of bright solitons in the coupled Nonlinear Schrodinger equation. We observe that apart from the intensity redistribution in the interaction of bright solitons, one also witnesses a rotation of the…

Other Condensed Matter · Physics 2015-06-16 R. Radha , P. S. Vinayagam , K. Porsezian

We study dark-bright ring solitons in two-component Bose-Einstein condensates. In the limit of large densities of the dark component, we describe the soliton dynamics by means of an equation of motion for the ring radius. The presence of…

Quantum Gases · Physics 2011-09-16 J. Stockhofe , P. G. Kevrekidis , D. J. Frantzeskakis , P. Schmelcher

Inspired by experiments on Bose-Einstein condensates in optical lattices, we study the quantum evolution of dark soliton initial conditions in the context of the Bose-Hubbard Hamiltonian. An extensive set of quantum measures is utilized in…

Mesoscale and Nanoscale Physics · Physics 2010-06-01 R. V. Mishmash , L. D. Carr

Perturbation approaches developed so far for the dark soliton solutions of the (fully integrable) defocusing nonlinear Schroedinger equation cannot describe the dynamics resulting from dissipative perturbations of the Ginzburg-Landau type.…

patt-sol · Physics 2015-06-26 Olaf Stiller , Stefan Popp , Lorenz Kramer

Equations for contour dynamics of dark solitons are obtained for the general form of the nonlinearity function. Their self-similar solution which describes the nonlinear stage of the bending instability of dark solitons is studied in…

Pattern Formation and Solitons · Physics 2022-04-20 A. M. Kamchatnov

We study controllable friction in a system consisting of a dark soliton in a one-dimensional Bose-Einstein condensate coupled to a non-interacting Fermi gas. The fermions act as impurity atoms, not part of the original condensate, that…

Quantum Gases · Physics 2017-05-08 Hilary M. Hurst , Dmitry K. Efimkin , I. B. Spielman , Victor Galitski