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We analyze the existence and stability of two-component vector solitons in nematic liquid crystals for which one of the components carries angular momentum and describes a vortex beam. We demonstrate that the nonlocal, nonlinear response…

Optics · Physics 2015-05-13 Zhiyong Xu , Noel F. Smyth , Antonmaria A. Minzoni , Yuri S. Kivshar

Stabilizing vortex solitons with high values of the topological charge, S, is a challenging issue in optics, studies of Bose-Einstein condensates (BECs) and other fields. To develop a new approach to the solution of this problem, we…

Quantum Gases · Physics 2017-11-22 Chunqing Huang , Lin Lyu , Hao Huang , Zhaopin Chen , Shenhe Fu , Haishu Tan , Boris A. Malomed , Yongyao Li

In this brief report, we consider parametrically driven bright solitons in the vicinity of the anti-continuum limit. We illustrate the mechanism through which these solitons become unstable due to the collision of the phase mode with the…

Pattern Formation and Solitons · Physics 2009-11-11 H. Susanto , Q. E. Hoq , P. G. Kevrekidis

In this work, we show that collisions of one type of nonlinear wave can lead to generation of a different kind of nonlinear wave. Specifically, we demonstrate the formation of topological solitons (or transition waves) via collisions of…

Applied Physics · Physics 2023-08-16 Hiromi Yasuda , Hang Shu , Weijian Jiao , Vincent Tournat , Jordan R. Raney

We investigate fundamental localized modes in 2D lattices with an edge (surface). Interaction with the edge expands the stability area for ordinary solitons, and induces a difference between perpendicular and parallel dipoles; on the…

Pattern Formation and Solitons · Physics 2010-12-10 H. Susanto , P. G. Kevrekidis , B. A. Malomed , R. Carretero-Gonzalez , D. J. Frantzeskakis

Coupled solitary waves in optics literature, are coined vector solitons to reflect their particle-like nature that remains intact even after mutual collisions. They are born from a nonlinear change in the refractive index of an optical…

Optics · Physics 2022-06-23 Finn Buldt , Pascal Basséne , Moussa N'Gom

We study numerically the outcome of the phase separation instability of a dual-species Bose-Einstein condensate in an optical lattice. When only one excitation mode is unstable a bound pair of a bright and dark soliton-like structures…

Other Condensed Matter · Physics 2009-11-06 Uttam Shrestha , Juha Javanainen , Janne Ruostekoski

It is known that, in continuous media, composite solitons with hidden vorticity, which are built of two mutually symmetric vortical components whose total angular momentum is zero, may be stable while their counterparts with explicit…

Optics · Physics 2015-06-12 Daniel Leykam , Boris Malomed , Anton S. Desyatnikov

We show experimentally the existence of bright and dark spatial solitons in a passive quantum-well-semiconductor resonator of large Fresnel number. For the wavelength of observation the nonlinearity is mixed absorptive/defocusing. Bright…

Pattern Formation and Solitons · Physics 2007-05-23 V. B. Taranenko , I. Ganne , R. J. Kuszelewicz , C. O. Weiss

A new kind of classically stable static solitons called metastable quasi-topological defects (MQTD) and a systematic method to search for them is presented, with examples from realistic particle physics models. They are characterized by a…

High Energy Physics - Phenomenology · Physics 2016-09-06 T. N. Tomaras

We discuss three different globally regular non-topological stationary soliton solutions in the theory of a complex scalar field in 3+1 dimensions, so-called Q-balls, Q-vortices and Q-walls. The charge, energy and profiles of the…

High Energy Physics - Theory · Physics 2015-05-27 Ya Shnir

The solitary waves of massive (1+1)-dimensional nonlinear S^N-sigma models are unveiled. It is shown that the solitary waves in these systems are in one-to-one correspondence with the separatrix trajectories in the repulsive N-dimensional…

High Energy Physics - Theory · Physics 2010-02-10 A. Alonso Izquierdo , M. Á. González León , M. de la Torre Mayado

The existence and stability of stable bright solitons in one-dimensional (1D) media with a spatially periodical modulated Kerr nonlinearity are demonstrated by means of the linear-stability analysis and in direct numerical simulations. The…

Pattern Formation and Solitons · Physics 2019-09-24 Liangwei Zeng , Jianhua Zeng

Solitons are commonly known as waves that propagate without dispersion. Here we show that they can occur for driven overdamped Brownian dynamics of hard spheres in periodic potentials at high densities. The solitons manifest themselves as…

Statistical Mechanics · Physics 2022-08-25 Alexander P. Antonov , Artem Ryabov , Philipp Maass

We introduce a system of propagation equations for the fundamental-frequency (FF) and second-harmonic (SH) waves in the bulk waveguide with the effective fractional diffraction and quadratic (chi ^(2)) nonlinearity. The numerical solution…

Pattern Formation and Solitons · Physics 2024-06-03 Hidetsugu Sakaguchi , Boris A. Malomed

A gauged (2+1)-dimensional version of the Skyrme model is investigated. The gauge group is $U(1)$ and the dynamics of the associated gauge potential is governed by a Maxwell term. In this model there are topologically stable soliton…

High Energy Physics - Theory · Physics 2009-03-09 J. Gladikowski , B. M. A. G. Piette , B. J. Schroers

We introduce spatiotemporal spinning solitons (vortex tori) of the three-dimensional nonlinear Schrodinger equation with focusing cubic and defocusing quintic nonlinearities. The first ever found completely stable spatiotemporal vortex…

Pattern Formation and Solitons · Physics 2009-11-07 D. Mihalache , D. Mazilu , L. -C. Crasovan , I. Towers , A. V. Buryak , B. A. Malomed , L. Torner , J. P. Torres , F. Lederer

Solitons are localized nonlinear wave packets that propagate without spreading because nonlinearity balances dispersion. Their robustness is well understood in effectively one-dimensional systems, but introducing additional spatial…

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

In this paper, we obtain stable and metastable soliton solutions of a coupled system of two real scalar fields with five five discrete points of vacua. These solutions have definite topological charges and rest energies and show classical…

Mathematical Physics · Physics 2015-03-19 Nematollah Riazi , Marzieh Peyravi
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