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We show that multipole solitons can be made stable via vectorial coupling in bulk nonlocal nonlinear media. Such vector solitons are composed of mutually incoherent nodeless and multipole components jointly inducing a nonlinear refractive…

By means of unitarized Chiral Perturbation Theory it is possible to obtain a remarkable description of meson-meson scattering amplitudes up to 1.2 GeV, and generate poles associated to scalar and vector resonances. Since Chiral Perturbation…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. R. Pelaez

Within the curl-curl type vector equation describing a monochromatic light wave in a focusing Kerr medium, the transverse structure of extremely narrow, linearly polarized self-focused optical beams is found numerically with a high…

Optics · Physics 2026-02-10 Victor P. Ruban

Coupled nonlinear Schrodinger equations (CNLS) with an external elliptic function potential model a quasi one--dimensional interacting two-component Bose-Einstein condensate trapped in a standing light wave. New families of stationary…

Soft Condensed Matter · Physics 2007-05-23 N. A. Kostov , V. Z. Enol'skii , V. S. Gerdjikov , V. V. Konotop , M. Salerno

For an isotropic and homogeneous nonlinear left-handed materials, for which the effective medium approximation is valid, Maxwell's equations for electric and magnetic fields lead naturally, within the slowly varying envelope approximation,…

Pattern Formation and Solitons · Physics 2010-03-09 N. Lazarides , G. P. Tsironis

We consider the linear vector Schr\"odinger equation subjected to quadratic constraints. We demonstrate that the resulting nonlinear system is closely related to the Ablowitz-Ladik hierarchy and use this fact to derive the N-soliton…

Exactly Solvable and Integrable Systems · Physics 2025-10-16 V. E. Vekslerchik

The aim of this paper is to develop the inverse scattering transform (IST) for multi-component generalisations of nonlocal reductions of the nonlinear Schrodinger (NLS) equation with PT-symmetry related to symmetric spaces. This includes:…

Exactly Solvable and Integrable Systems · Physics 2019-10-15 Georgi G. Grahovski , Junaid I. Mustafa , Hadi Susanto

We analytically investigate transverse magnetic (TM) spatial bright solitons, as exact solutions of Maxwell's equations, propagating through nonlinear metamaterials whose linear dielectric permittivity is very close to zero and whose…

Optics · Physics 2013-05-29 Alessandro Ciattoni , Carlo Rizza , Elia Palange

We consider two-component solitons in a medium with a periodic modulation of the nonlinear coefficient. The modulation enables the existence of complex multihump vector states. In particular, vector solitons composed of dipole and…

Dynamics of solitons is considered in the framework of an extended nonlinear Schr\"odinger equation (NLSE), which is derived from a Zakharov-type model for wind-driven high-frequency (HF) surface waves in the ocean, coupled to damped…

Pattern Formation and Solitons · Physics 2015-12-04 Evgeny M. Gromov , Boris A. Malomed

We develop the analytical method of field momenta for analyzing the dynamics of optical vector solitons in photorefractive nonlinear media. First, we derive the effective evolution equations for the parameters of multi-component solitons…

Pattern Formation and Solitons · Physics 2007-05-23 Ilya Shadrivov , Alexander A. Zharov

An optical four-level atomic discrete system through optical induction is proposed. A theoretical scheme to produce nonclassical lattice solitons (NLS) in the system is presented with the use of the effects of enhanced self-phase modulation…

Optics · Physics 2010-07-08 Yongyao Li , Zhonghui Yuan , Wei Pang , Yikun Liu

An explanation is given for previous numerical results which suggest a certain bifurcation of `vector solitons' from scalar (single-component) solitary waves in coupled nonlinear Schroedinger (NLS) systems. The bifurcation in question is…

Pattern Formation and Solitons · Physics 2009-11-07 Alan Champneys , Jianke Yang

A theory of optical nonresonance vector pulsing solitons in a Kerr media is considered. By using the perturbative reduction method the wave equation is transformed to the coupled nonlinear Schrodinger equations. The profile of the optical…

Pattern Formation and Solitons · Physics 2018-04-10 G. T. Adamashvili , N. T. Adamashvili , M. D. Peikrishvili , R. R. Koplatadze

We review the large Nc behavior of light scalar and vector resonances generated from unitarized meson-meson scattering amplitudes at one loop in Chiral Perturbation Theory. The vectors nicely follow the behavior expected for qqbar states,…

High Energy Physics - Phenomenology · Physics 2009-11-11 J. R. Pelaez

We demonstrate that fractional cubic-quintic nonlinear Schr\"odinger equation,characterized by its L\'evy index, maintains ring-shaped soliton clusters ("necklaces") carrying orbital angular momentum. They can be built, in the respective…

Pattern Formation and Solitons · Physics 2020-10-27 Pengfei Li , Boris A. Malomed , Dumitru Mihalache

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

This work is concerned with the study of explicit solutions for a generalized coupled nonlinear Schr\"{o}dinger equations (NLS) system with variable coefficients. Indeed, we show, employing similarity transformations, the existence of Rogue…

Mathematical Physics · Physics 2023-10-27 Jose Escorcia , Erwin Suazo

Spectral stability of multi-hump vector solitons in the Hamiltonian system of coupled nonlinear Schr\"{o}dinger (NLS) equations is investigated both analytically and numerically. Using the closure theorem for the negative index of the…

Pattern Formation and Solitons · Physics 2007-05-23 Dmitry Pelinovsky , Jianke Yang

We show that bimodal systems with a spatially nonuniform defocusing cubic nonlinearity, whose strength grows toward the periphery, can support stable two-component solitons. For a sufficiently strong XPM interaction, vector solitons with…