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Related papers: Vector soliton molecules and their collisions

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Soliton molecules are the manifestation of attractive and repulsive interaction between optical pulses mediated by a nonlinear medium. However, the formation and breakup of soliton molecules are difficult to observe due to the transient…

Optics · Physics 2018-01-12 Shuqian Sun , Zhixing Lin , Wei Li , Ninghua Zhu , Ming Li

Our study on nondegenerate dark-bright-bright solitons in a three-component Manakov model with repulsive interactions reveals the existence of diverse branches of nondegenerate vector solitons. For fixed bright component particle numbers…

Pattern Formation and Solitons · Physics 2025-12-09 Yu-Hao Wang , Liang Duan , Yan-Hong Qin , Li-Chen Zhao

Soliton molecules have been experimentally discovered in optics and theoretically investigated for coupled systems. This paper is concerned with the formation of soliton molecules by the resonant mechanism for a noncoupled system, the…

Pattern Formation and Solitons · Physics 2020-04-15 Zhaowen Yan , Senyue Lou

The problem of soliton-soliton force is revisited. From the exact two solitons solution of a nonautonomous Gross-Pitaevskii equation, we derive a generalized formula for the mutual force between two solitons. The force is given for…

Quantum Gases · Physics 2015-03-14 U. Al Khawaja

In spite of the massive interest that the generalized Manakov equation has attracted in the past two decades, no physical system which is quantitatively described by this equation has been reported so far. In this paper we show that…

Optics · Physics 2012-07-27 Antonio Mecozzi , Cristian Antonelli , Mark Shtaif

Families of soliton pairs, namely vector solitons, are found within the context of a coupled nonlocal nonlinear Schrodinger system of equations, as appropriate for modeling beam propagation in nematic liquid crystals. In the focusing case,…

Pattern Formation and Solitons · Physics 2016-10-07 Theodoros P. Horikis , Dimitrios J. Frantzeskakis

Light chemical elements are, for instance, produced through ion collisions taking place in the core of stars, where fusion is particularly important to the synthesis of chemical elements. Meanwhile soliton provides non-interacting…

Pattern Formation and Solitons · Physics 2015-05-06 Yoritaka Iwata

We present experiments performed in a recirculating fiber loop in which we realize the single-shot observation of the space and time interaction of two and three bright solitons. The space-time evolutions observed in experiments provide…

Pattern Formation and Solitons · Physics 2023-06-21 François Copie , Pierre Suret , Stéphane Randoux

It is demonstrated the existence of multidimensional matter-wave solitons in a crossed optical lattice (OL) with linear OL in the $x-$direction and nonlinear OL (NOL) in the $y-$direction, where the NOL can be generated by a periodic…

Atomic Physics · Physics 2010-11-15 H. L. F. da Luz , F. Kh. Abdullaev , A. Gammal , M. Salerno , Lauro Tomio

When a laser cavity supports the propagation of several ultrashort pulses, these pulses interact and can form compact bound states called soliton molecules. Soliton molecules are fascinating objects of nonlinear science, which present…

Optics · Physics 2022-11-08 Youjian Song , Defeng Zou , Omri Gat , Minglie Hu , Philippe Grelu

We derive a system of nonpolynomial Schroedinger equations (NPSEs) for one-dimensional wave functions of two components in a binary self-attractive Bose-Einstein condensate loaded in a cigar-shaped trap. The system is obtained by means of…

Other Condensed Matter · Physics 2009-11-11 Luca Salasnich , Boris A. Malomed

Aim. Implement a stochastic representation of the wave function for a pair of entangled soliton functions in a liquid crystal. Show the applicability of a special soliton representation of quantum mechanics for modeling real entangled…

General Physics · Physics 2025-04-17 T. F. Kamalov , A. V. Kondakova

We consider soliton solutions of a two-dimensional nonlinear system with the self-focusing nonlinearity and a quasi-1D confining potential, taking harmonic potential as an example. We investigate a single soliton in detail and find…

Pattern Formation and Solitons · Physics 2015-05-13 Nguyen Viet Hung , Michal Matuszewski , Marek Trippenbach

With the increased transverse mode degrees of freedom, spatiotemporal mode-locked (STML) fiber lasers exhibit more intricate and richer nonlinear dynamics, making them an ideal platform for studying complex nonlinear phenomena. However,…

We analyse scattering of a heavy atom off a weakly bound molecule comprising an identical heavy and a light atom in the Born-Oppenheimer approximation. We focus on the situation where the heavy atoms are bosons, which was realized in…

Quantum Physics · Physics 2013-05-29 M. A. Efremov , L. Plimak , B. Berg , M. Yu. Ivanov , W. P. Schleich

By means of the variational approximation (VA), a system of ordinary differential equations (ODEs) is derived to describe the propagation of antisymmetric solitons in a multi-channel (WDM) optical fiber link subject to strong dispersion…

Pattern Formation and Solitons · Physics 2015-06-26 Bao-Feng Feng , Boris A. Malomed

Topological insulators are unique physical structures that are insulators in their bulk, but support currents at their edges which can be unidirectional and topologically protected from scattering on disorder and inhomogeneities. Photonic…

We study the phase-separation in three-component bright vector solitons in a quasi-one-dimensional spin-orbit-coupled hyper-fine spin $F=1$ ferromagnetic Bose-Einstein condensate upon an increase of the strength of spin-orbit (SO) coupling…

Quantum Gases · Physics 2019-12-11 S K Adhikari

We address the interactions between optical solitons in the system with longitudinally varying nonlocality degree and nonlinearity strength. We consider a physical model describing light propagation in nematic liquid crystals featuring a…

Pattern Formation and Solitons · Physics 2009-11-13 Fangwei Ye , Yaroslav V. Kartashov , Lluis Torner

Solitons are non-dispersing localized waves that occur in diverse physical settings. A variety of optical solitons have been observed, but versions that involve both spatial and temporal degrees of freedom are rare. Optical fibers designed…

Optics · Physics 2015-06-15 William H. Renninger , Frank W. Wise