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This paper reviews theoretical advances on the formation and stabilization of multidimensional solitons in nonlinear Schr\"odinger systems with attractive interactions, focusing on atomic Bose-Einstein condensates and nonlinear optics.…

Quantum Gases · Physics 2026-03-31 Fatkhulla Abdullaev , Mario Salerno

We introduce a new class of self-sustained states, which may exist as single solitons or form multisoliton clusters, in driven passive cylindrical microresonators. Remarkably, such states are stabilized by the radiation they emit, which…

The nature of the interaction of a soliton with an attractive well is elucidated using a model of two interacting point particles. The model explains the existence of trapped states at positive kinetic energy, as well as reflection by an…

High Energy Physics - Theory · Physics 2007-05-23 G. Kälbermann

Solitons are universal nonlinear excitations that appear in settings as varied as optics, water waves, and quantum gases [1-5]. While reduced models of soliton dynamics are well established, their validity and dynamical behaviour in…

We demonstrate that the fission of higher-order N-solitons with a subsequent ejection of fundamental quasi-solitons creates solitonic cavities, formed by a pair of solitons with dispersive light trapped between them. As a result of multiple…

Optics · Physics 2016-12-21 R. Driben , A. V. Yulin , A. Efimov , B. A Malomed

We analyze stability and generation of discrete gap solitons in weakly coupled optical waveguides. We demonstrate how both stable and unstable solitons can be observed experimentally in the engineered binary waveguide arrays, and also…

Pattern Formation and Solitons · Physics 2009-04-01 Andrey A. Sukhorukov , Yuri S. Kivshar

We consider a one-dimensional model of a two-component Bose-Einstein condensate in the presence of periodic external potentials of opposite signs, acting on the two species. The interaction between the species is attractive, while…

Pattern Formation and Solitons · Physics 2009-11-13 Z. Shi , K. J. H. Law P. G. Kevrekidis , B. A. Malomed

We consider the formation of bright solitons in a mixture of Bose and Fermi degenerate gases confined in a three-dimensional elongated harmonic trap. The Bose and Fermi atoms are assumed to effectively attract each other whereas bosonic…

Other Condensed Matter · Physics 2007-05-23 Tomasz Karpiuk , Miroslaw Brewczyk , Kazimierz Rzazewski

We introduce an effectively one-dimensional (1D) model of a bosonic gas of particles carrying collinear dipole moments which are induced by an external polarizing field with the strength periodically modulated along the coordinate, which…

Quantum Gases · Physics 2015-06-18 F. Kh. Abdullaev , A. Gammal , B. A. Malomed , L. Tomio

We develop a theory of soliton spiraling in a bulk nonlinear medium and reveal a new physical mechanism: periodic power exchange via induced coherence, which can lead to stable spiraling and the formation of dynamical two-soliton states.…

patt-sol · Physics 2009-10-31 Alexander V. Buryak , Yuri S. Kivshar , Ming-feng Shih , Mordechai Segev

We discover multipole-mode solitons supported by the surface between two distinct periodic lattices imprinted in Kerr-type nonlinear media. Such solitons are possible because the refractive index modulation at both sides of the interface…

Optics · Physics 2009-11-11 Yaroslav V. Kartashov , Lluis Torner

We report the existence, and study mobility and interactions of gap polariton solitons in a microcavity with a periodic potential, where the light field is strongly coupled to excitons. Gap solitons are formed due to the interplay between…

Optics · Physics 2009-07-28 A. V. Gorbach , B. A. Malomed , D. V. Skryabin

It is known that the interplay of the spin-orbit-coupling (SOC) and mean-field self-attraction creates stable two-dimensional (2D) solitons (ground states) in spinor Bose-Einstein condensates. However, SOC destroys the system's Galilean…

Quantum Gases · Physics 2022-02-23 Hidetsugu Sakaguchi , Fumihide Hirano , Boris 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

The light scattered by cold atoms induces mutual optical forces between them, which can lead to bound states. In addition to the trapping potential, this light-induced interaction generates a velocity-dependent force which damps or…

Atomic Physics · Physics 2020-07-01 Angel T. Gisbert , Nicola Piovella , Romain Bachelard

We present the first numerically exact study of self-trapped, a.k.a. soliton, states of electrons that form in materials with strong quadratic coupling to the phonon coordinates. Previous studies failed to observe predictions based on the…

Strongly Correlated Electrons · Physics 2024-10-08 Zhongjin Zhang , Anatoly Kuklov , Nikolay Prokof'ev , Boris Svistunov

The mechanism underlying the soliton ratchet, both in absence and in presence of noise, is investigated. We show the existence of an asymmetric internal mode on the soliton profile which couples, trough the damping in the system, to the…

Pattern Formation and Solitons · Physics 2009-11-07 Mario Salerno , Niurka R. Quintero

The nonstationary dynamics of topological solitons (dislocations, domain walls, fluxons) and their bound states in one-dimensional systems with high dispersion are investigated. Dynamical features of a moving kink emitting radiation and…

Pattern Formation and Solitons · Physics 2020-08-11 M. M. Bogdan , O. V. Charkina

We study families of one-dimensional matter-wave bright solitons supported by the competition of contact and dipole-dipole (DD) interactions of opposite signs. Soliton families are found, and their stability is investigated in the free…

Pattern Formation and Solitons · Physics 2015-05-20 J. Cuevas , Boris A. Malomed , P. G. Kevrekidis , D. J. Frantzeskakis

We suggest a method for creating bright matter solitons by loading a BEC of atoms in a driven tilted optical lattice. It is shown that one can realize the self-focussing regime for the wave-packet dynamics by properly adjusting the phase of…

Quantum Gases · Physics 2015-05-18 Andrey R. Kolovsky