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Oscillons are spatially localized, time-periodic and long-lived configurations that were primarily proposed in scalar field theories with attractive self-interactions. In this letter, we demonstrate that oscillons also exist in the…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-22 Hong-Yi Zhang , Mudit Jain , Mustafa A. Amin

Semiconductor microcavities operating in the polaritonic regime are highly non-linear, high speed systems due to the unique half-light, half-matter nature of polaritons. Here, we report for the first time the observation of propagating…

The article provides a survey of (chiefly, theoretical) results obtained for self-trapped modes (solitons) in various models of one-dimensional optical waveguides based on a pair of parallel guiding cores, which combine the linear…

Optics · Physics 2017-09-18 Boris A. Malomed

Using Legendre transformation, a standard theoretical approach extensively used in classical mechanics as well as thermal dynamics, two-dimensional non-linear auto-oscillators including spin torque nano-oscillators (STNOs) can be…

Mesoscale and Nanoscale Physics · Physics 2023-05-19 Hao-Hsuan Chen , Ching-Ming Lee , Ching-Ray Chang

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…

Multitask learning (MTL) can utilize the relatedness between multiple tasks for performance improvement. The advent of multimodal data allows tasks to be referenced by multiple indices. High-order tensors are capable of providing efficient…

Machine Learning · Computer Science 2023-08-23 Jiani Liu , Qinghua Tao , Ce Zhu , Yipeng Liu , Johan A. K. Suykens

We present a theoretical study of plasmonic lattice solitons (PLSs) formed in two-dimensional (2D) arrays of metallic nanowires embedded into a nonlinear medium with Kerr nonlinearity. We analyze two classes of 2D PLSs families, namely,…

Optics · Physics 2010-12-20 F. Ye , D. Mihalache , B. Hu , N. C. Panoiu

The existence, stability and other dynamical properties of a new type of multi-dimensional (2D or 3D) solitons supported by a transverse low-dimensional (1D or 2D, respectively) periodic potential in the nonlinear Schr\"{o}dinger equation…

Pattern Formation and Solitons · Physics 2009-11-11 Bakhtiyor B. Baizakov , Boris A. Malomed , Mario Salerno

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

Spatio-temporal reasoning is a remarkable capability of Vision Language Models (VLMs), but the underlying mechanisms of such abilities remain largely opaque. We postulate that visual/geometrical and textual representations of spatial…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Raphi Kang , Hongqiao Chen , Georgia Gkioxari , Pietro Perona

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

We address the formation of topological states in twisted circular waveguide arrays and find that twisting leads to important differences of the fundamental properties of new vortex solitons with opposite topological charges that arise in…

Light transport in a highly multimode fiber exhibits complex behavior in space, time, frequency and polarization, especially in the presence of mode coupling. The newly developed techniques of spatial wavefront shaping turn out to be highly…

Optics · Physics 2023-07-06 Hui Cao , Tomáš Čižmár , Sergey Turtaev , Tomáš Tyc , Stefan Rotter

Weighted twin support vector machines (WLTSVM) mines as much potential similarity information in samples as possible to improve the common short-coming of non-parallel plane classifiers. Compared with twin support vector machines (TWSVM),…

Machine Learning · Statistics 2022-01-28 Ruxin Xu , Huiru Wang

We report on the experimental observation of stable dark solitons in an all normal dispersion fiber laser. We found experimentally that dark soliton formation is a generic feature of the fiber laser under strong continuous wave (CW)…

Optics · Physics 2009-05-08 H. Zhang , D. Y. Tang , L. M. Zhao , X. Wu , Q. L. Bao , K. P. Loh

We analyze two-component spatial optical vortex solitons supported by parametric wave mixing processes in a nonlinear bulk medium. We study two distinct cases of such localised waves, namely, parametric vortex solitons due to phase-matched…

A novel phenomenon is discovered that the short-range interaction between strongly nonlocal spatial solitons depends sinusoidally on their phase difference. The two neighbouring solitons at close proximate can be inter-trapped via the…

Optics · Physics 2011-02-28 Wei Hu , Shigen Ouyang , Pingbao Yang , Qi Guo

By means of a systematic numerical analysis, we demonstrate that hexagonal lattices of parallel linearly-coupled waveguides, with the intrinsic cubic self-focusing nonlinearity, give rise to three species of stable semi-discrete complexes…

Pattern Formation and Solitons · Physics 2015-05-28 H. Leblond , B. A. Malomed , D. Mihalache

Multimodal large language models (MLLMs) have made remarkable progress in either temporal or spatial localization. However, they struggle to perform spatio-temporal video grounding. This limitation stems from two major challenges. Firstly,…

Computer Vision and Pattern Recognition · Computer Science 2025-04-14 Jiankang Wang , Zhihan Zhang , Zhihang Liu , Yang Li , Jiannan Ge , Hongtao Xie , Yongdong Zhang

A traditional view on solitons in optical fibers as robust particle-like structures suited for informa- tion transmission has been significantly altered and broadened over the past decade, when solitons have been found to play the major…

Optics · Physics 2015-03-17 D. V. Skryabin , A. V. Gorbach
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