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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 (1+1)-dimensional gauge model of two complex self-interacting scalar fields that interact with each other through an Abelian gauge field and a quartic scalar interaction is considered. It is shown that the model has nontopological…

High Energy Physics - Theory · Physics 2019-03-27 A. Yu. Loginov , V. V. Gauzshtein

Boussinesq-type wave equations involve nonlinearities and dispersion. In this paper a Boussinesq-type equation with amplitude-dependent nonlinearities is presented. Such a model was proposed by Heimburg and Jackson (2005) for describing…

Pattern Formation and Solitons · Physics 2018-02-23 Jüri Engelbrecht , Kert Tamm , Tanel Peets

A non-Abelian gauge model with a complex isovector scalar field and a sixth-order self-interaction potential is considered. It is shown that it has a nontopological soliton solution. The features of this soliton include a monopole-like core…

High Energy Physics - Theory · Physics 2025-06-26 A. Yu. Loginov

We study the correspondence between modulational instability and types of fundamental nonlinear excitation in a nonlinear fiber with both third-order and fourth-order effects. Some stable soliton excitations are obtained in modulational…

Pattern Formation and Solitons · Physics 2017-04-26 Liang Duan , Li-Chen Zhao , Wen-hao Xu , Chong Liu , Zhan-Ying Yang , Wen-Li Yang

Very narrow spatial bright solitons in (1+1)D and (2+1)D versions of cubic-quintic and full saturable models are studied, starting from the full system of the Maxwell's equations, rather than from the paraxial (NLS) approximation. For the…

Pattern Formation and Solitons · Physics 2009-11-07 Boris V. Gisin , Boris A. Malomed

We observe experimentally higher-order solitons in waveguide arrays with defocusing saturable nonlinearity. Such solitons can comprise several in-phase bright spots and are stable above a critical power threshold. We elucidate the impact of…

By means of first-principles calculations, we predict a new 2D QSH insulator in the porous allotrope of Bismuth monolayer, bismuthylene, its dynamics stability being confirmed by phonon spectrum and molecular dynamics simulations. The…

Materials Science · Physics 2016-07-15 Run-wu Zhang , Chang-wen Zhang , Wei-xiao Ji , Ping Li , Pei-ji Wang

Nonlinear systems, whose outputs are not directly proportional to their inputs, are well known to exhibit many interesting and important phenomena which have profoundly changed our technological landscape over the last 50 years. Recently…

In this paper we study a system of coupled nonlinear Schrodinger equations modelling a quantum degenerate mixture of bosons and fermions. We analyze the stability of plane waves, give precise conditions for the existence of solitons and…

Pattern Formation and Solitons · Physics 2007-05-23 Juan Belmonte-Beitia , Victor M. Perez-Garcia , Vadym Vekslerchik

In this work we consider the well posed version of the Kaup-Broer-Kuperschmidt system in two dimensions. We numerically construct soliton type solutions and show that they are unstable both against dispersion and singularity formation.…

Analysis of PDEs · Mathematics 2026-05-07 Théo Gaudry , Christian Klein , Jean-Claude Saut , Nikola Stoilov

We describe experiments testing the existence and investigating the properties of spatial solitons in nonlinear resonators. We investigate the properties of stationary and moving spatial solitons in lasers with saturable absorber, with a…

Pattern Formation and Solitons · Physics 2007-05-23 C. O. Weiss , G. Slekys , V. B. Taranenko , K. Staliunas , R. Kuszelewicz

Using numerical modeling investigated interaction of solitary waves (solitons) of the regularized long wave equation. For reception the stable model of the nonlinear medium are used methods of the linear prediction and progressive…

Pattern Formation and Solitons · Physics 2007-05-23 Yu. A. Bunyak

We analyze the conditions, which guarantee the existence of periodic and soliton-like traveling wave solutions in the non-local hydrodynamic model of structured media.

Pattern Formation and Solitons · Physics 2013-11-25 V. A. Vladimirov , E. V. Kutafina , B. Zorychta

In the present work we investigate the existence of multiple nonequilibrium steady states in a coherently driven XY lattice of dissipative two-level systems. A commonly used mean-field ansatz, in which spatial correlations are neglected,…

Quantum Physics · Physics 2016-06-20 J. J. Mendoza-Arenas , S. R. Clark , S. Felicetti , G. Romero , E. Solano , D. G. Angelakis , D. Jaksch

We show, by means of numerical and analytical methods, that media with a repulsive nonlinearity which grows from the center to the periphery support a remarkable variety of previously unknown complex stationary and dynamical…

Pattern Formation and Solitons · Physics 2015-06-19 Rodislav Driben , Yaroslav V. Kartashov , Boris A. Malomed , Torsten Meier , Lluis Torner

The existence, stability, and dynamics of bound pairs of symbiotic matter waves in the form of dark-bright soliton pairs in two-component mixtures of atomic Bose-Einstein condensates is investigated. Motivated by the tunability of the…

Quantum Gases · Physics 2017-03-16 G. C. Katsimiga , J. Stockhofe , P. G. Kevrekidis , P. Schmelcher

We demonstrate a nonlinear metamaterial in microwave frequency regime with hysteresis effect and bistable states, which can be utilized as a remotely controllable micro second switching device. A varactor loaded split-ring resonator (SRR)…

Applied Physics · Physics 2017-05-23 Sinhara R Silva , Alexander D Shields , Jiangfeng Zhou

We study numerically a class of non-topological solitons, the Q-balls, arising in supersymmetric extension of the Standard Model with low-energy, gauge-mediated symmetry breaking. % Taking into account the exact form of the supersymmetric…

High Energy Physics - Theory · Physics 2008-11-26 L. Campanelli , M. Ruggieri

We use multiscale perturbation theory in conjunction with the inverse scattering transform to study the interaction of a number of solitons of the cubic nonlinear Schroedinger equation under the influence of a small correction to the…

patt-sol · Physics 2009-10-31 James A. Besley , Peter D. Miller , Nail N. Akhmediev