We investigate rogue-wave solutions in a three-component coupled nonlinear Schrodinger equation. With certain requirements on the backgrounds of components, we construct multi-rogue-wave solution that exhibits structure like four-petaled flower temporal-spatial distribution, contrast to eye-shaped one-component or two-component systems. The results could be interest such diverse fields as Bose-Einstein condensates, fibers, and superfluids.

In this paper, we obtain a uniform Darboux transformation for multi-component coupled nonlinear Schrödinger (NLS) equations, which can be reduced to all previously presented transformations. As direct application, derive the single dark soliton and multi-dark solutions NLS equations with defocusing case mixed focusing case. Some exact two-dark solitons of three-component are investigated explicitly. The results meaningful vector studies in many physical systems, such as Bose–Einstein...

We find that diverse nonlinear waves, such as soliton, Akhmediev breather, and rogue waves (RWs), can emerge interplay with each other in a two-mode coupled system. It provides good platform to study interaction between different kinds of waves. In particular, we obtain dark RWs analytically for the first time system, two appear temporal-spatial distribution. Possible ways observe these are discussed.

The state transition between the Peregrine rogue wave and W-shaped traveling induced by higher-order effects background frequency is studied. We find that this intriguing transition, described an exact explicit rational solution, consistent with modulation instability (MI) analysis involves a MI region stability in low perturbation region. In particular, link growth rate characteristic analytically demonstrates localization of positively associated reciprocal zero-frequency rate....

Recently, large-scale Contrastive Language-Image Pre-training (CLIP) has attracted unprecedented attention for its impressive zero-shot recognition ability and excellent transferability to downstream tasks. However, CLIP is quite data-hungry requires 400M image-text pairs pre-training, thereby restricting adoption. This work proposes a novel training paradigm, Data efficient (DeCLIP), alleviate this limitation. We demonstrate that by carefully utilizing the widespread supervision among...

We investigate the solution in rational form for Sasa-Satsuma equation on a continuous background which describes nonlinear fiber system with higher-order effects including third-order dispersion, Kerr and stimulated inelastic scattering. The W-shaped soliton is obtained analytically. It found that height of hump increases decreasing frequency certain parameter regime. maximum can be three times background's corresponding profile identical one well-known eye-shaped rogue wave peak. numerical...

We present a simple representation for arbitrary-order rogue wave solution and study on the trajectories of them explicitly. find that global temporal-spatial distribution all look like "X" shape waves. Short-time prediction can be done through measuring information contained in initial perturbation twice.

We investigate non-degenerate bound state solitons systematically in multi-component Bose-Einstein condensates, through developing Darboux transformation method to derive exact soliton solutions analytically. In particular, we show that bright with nodes correspond the excited eigen-states self-induced effective quantum wells, sharp contrast and dark reported before (which usually ground free eigen-state respectively). further demonstrate are induced by incoherent interactions between...

We study the dynamics of Kuznetsov-Ma solitons (KMSs) in framework vector nonlinear Schr\"odinger (Manakov) equations. An exact multiparameter family solutions for such KMSs is derived. This includes known results as well previously unknown form nondegenerate KMSs. present existence diagram that follows from solutions. These are formed by superposition two fundamental have same propagation period but different eigenvalues. amplitude profiles solutions, their physical spectra, and link to...

We study breathers, their collision, and the interaction between breathers other types of nonlinear localized waves (solitons rogue waves) in a three-mode optical fiber. find that there exist three with different structures, i.e., bright, dark, four-petaled breathers. present some inelastic structures breather collision interplay waves. In particular, we one two can coexist interact each other. It is interesting gets twisted by attractive interactions waves, its intensity changes.

The task of 3D semantic scene graph (3D SSG) prediction in the point cloud is challenging since (1) only captures geometric structures with limited semantics compared to 2D images, and (2) long-tailed relation distribution inherently hinders learning unbiased prediction. Since images provide rich graphs are nature coped languages, this study, we propose Visual-Linguistic Semantics Assisted Training (VL-SAT) scheme that can significantly empower 3DSSG models discrimination about ambiguous...

We study the propagation of dark-bright solitons in two-component Bose-Einstein condensates (BECs) with general nonlinear parameters, and explore how interactions enrich soliton dynamics giving rise to nonsinusoidal oscillations under constant forces. Treating bright as an effective barrier, we reveal that such are characterized by Josephson equations self-adapted critical current bias voltage, whose explicit analytic expressions derived using Lagrangian variational method. The dynamical...

The dynamics of Fermi-Pasta-Ulam (FPU) recurrence in a Manakov system is studied analytically. Exact Akhmediev breather (AB) solutions for this are found that cannot be reduced to the ABs single-component nonlinear Schr\"odinger equation. Expansion-contraction cycle corresponding spectra with an infinite number sidebands calculated analytically using residue theorem. A distinctive feature these asymmetry between positive and negative spectral modes. practically important consequence nearly...

We present a series of analytical solutions which describe nonautonomous solitons in planar waveguide with an additional periodical structure, that is, long-period grating. The explicit functions the evolution width, peak, and trajectory soliton's wave center are presented exactly. gain parameter has no effects on motion or its width; it affects just peak. grating term without changing shape. soliton under propagation-distance-dependent is investigated too. It reported arbitrary structure...

We obtain multivalley dark soliton solutions with asymmetric or symmetric profiles in multicomponent repulsive Bose-Einstein condensates by developing the Darboux transformation method. demonstrate that width-dependent parameters of solitons significantly affect velocity ranges and phase jump regions solitons, sharp contrast to scalar solitons. For double-valley we find is range $[0,2\ensuremath{\pi}]$, which quite different from usual single-valley soliton. Based on our results, argue an...

Contrastive Language-Image Pretraining (CLIP) has emerged as a novel paradigm to learn visual models from language supervision. While researchers continue push the frontier of CLIP, reproducing these works remains challenging. This is because do not choose consistent training recipes and even use different data, hampering fair comparison between methods. In this work, we propose CLIP-benchmark, first attempt evaluate, analyze, benchmark CLIP its variants. We conduct comprehensive analysis...

We solve a generalized nonautonomous nonlinear Schr\"odinger equation analytically by performing the Darboux transformation. The precise expressions of soliton's width, peak, and trajectory its wave center are investigated analytically, which symbolize dynamic behavior soliton. These can be conveniently effectively applied to management soliton in many fields.

The phenomena of AC oscillation generated by a DC drive, such as the famous Josephson effect in superconductors and Bloch solid physics, are great interest physics. Here we report another example counter-intuitive phenomenon that spin soliton two-component Bose-Einstein condensate is driven constant force: initially static first moves direction opposite to force then changes direction, showing an extraordinary long term. In sharp contrast oscillation, find nonlinear interactions play...