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We introduce multi-soliton sets in the two-dimensional medium with the second-harmonic-generating nonlinearity subject to spatial modulation in the form of a triangle of singular peaks. Various families of symmetric and asymmetric sets are…

Pattern Formation and Solitons · Physics 2018-11-14 Vitaly Lutsky , Boris A. Malomed

We address necklace solitons supported by circular waveguide arrays with out-of-phase modulation of nonlinearity and linear refractive index. Such two-dimensional necklace solitons appear as rings of multiple out-of-phase bright spots. We…

We experimentally isolate and directly observe multimode solitons in few-mode graded-index fiber. By varying the input energy and modal composition of the launched pulse, we observe a continuous variation of multimode solitons with…

We consider exciton polaritons in a semiconductor microcavity with a saturable absorber in the growth direction of the heterostructure. This feature promotes additional nonlinear losses of the system with the emergence of bistability of the…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 D. V. Karpov , I. G. Savenko , H. Flayac , N. N. Rosanov

Characteristic features of soliton-comb structures in optical microresonators are investigated in normal and anomalous dispersion regimes, when the detuning parameter is varied over a broad range of values. The study rests on the assumption…

Optics · Physics 2019-12-17 R. D. Dikandé Bitha , Alain M. Dikandé

Dispersion-managed solitons are reviewed within a Gaussian variational approximation and an integral evolution model. In the normal regime of the dispersion map (when the averaged path dispersion is negative), there are two solitons of…

Pattern Formation and Solitons · Physics 2009-10-31 Dmitry Pelinovsky

We propose a new mechanism for stabilization of confined modes in lasers and semiconductor microcavities holding exciton-polariton condensates, with spatially uniform linear gain, cubic loss, and cubic self-focusing or defocusing…

Pattern Formation and Solitons · Physics 2018-05-09 Thawatchai Mayteevarunyoo , Boris A. Malomed , Dmitry V. Skryabin

We report an observation of a stable soliton-like structure on the surface of a ferrofluid, generated by a local perturbation in the hysteretic regime of the Rosensweig instability. Unlike other pattern-forming systems with localized 2D…

Pattern Formation and Solitons · Physics 2009-11-11 Reinhard Richter , I. V. Barashenkov

Droplet solitons are a strongly nonlinear, inherently dynamic structure in the magnetization of ferromagnets, balancing dispersion (exchange energy) with focusing nonlinearity (strong perpendicular anisotropy). Large droplet solitons have…

Pattern Formation and Solitons · Physics 2015-06-29 L. D. Bookman , M. A. Hoefer

This article presents a systematic review of theoretical and experimental findings for bound states of two and several dissipative solitons in fiber lasers. The theoretical basis underlying the formation and stabilization of soliton…

Optics · Physics 2026-05-01 Yudong Cui , Tianchang Lu , Yusheng Zhang , Dong Mao , Boris A. Malomed

We investigate the formation, stability, and dynamics of solitons in a one-dimensional binary Bose-Einstein condensate under the action of the spin-orbit-coupling (SOC) and Lee-Huang-Yang (LHY) correction to the underlying system of the…

Quantum Gases · Physics 2025-08-15 Gui-hua Chen , Hongcheng Wang , Boris A. Malomed , Haiming Deng , Yongyao Li

We study dynamical and stationary states of solitons in dual-core waveguides which are locally coupled (fused) at one or several short segments. The model applies to planar optical waveguides, and to BEC in dual traps. Collisions of an…

Optics · Physics 2015-06-19 Alon Harel , Boris A. Malomed

We introduce a mechanism of stable spatiotemporal soliton formation in a multimode fiber laser. This is based on spatially graded dissipation, leading to distributed Kerr-lens mode-locking. Our analysis involves solutions of a generalized…

Optics · Physics 2020-08-12 Vladimir L. Kalashnikov , Stefan Wabnitz

We address the properties of optical solitons that form in media with competing cubic-quintic nonlinearity and parity-time(PT)-symmetric complex-valued external potentials. The model describes the propagation of solitons in nonlinear…

Optics · Physics 2018-04-10 Pengfei Li , Lu Li , Dumitru Mihalache

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

We construct dark solitons in the recently introduced model of the nonlinear dual-core coupler with the mutually balanced gain and loss applied to the two cores, which is a realization of parity-time symmetry in nonlinear optics. The main…

Optics · Physics 2013-03-18 Yuliy V. Bludov , Vladimir V. Konotop , Boris A. Malomed

We consider a two-dimensional (2D) two-component spinor system with cubic attraction between the components and intra-species self-repulsion, which may be realized in atomic Bose-Einstein condensates, as well as in a quasi-equilibrium…

We present a unified approach for qualitative and quantitative analysis of stability and instability dynamics of positive bright solitons in multi-dimensional focusing nonlinear media with a potential (lattice), which can be periodic,…

Pattern Formation and Solitons · Physics 2009-11-13 Y. Sivan , G. Fibich , B. Ilan , M. I. Weinstein

While fundamental-mode discrete solitons have been demonstrated with both self-focusing and defocusing nonlinearity, high-order-mode localized states in waveguide lattices have been studied thus far only for the self-focusing case. In this…

Pattern Formation and Solitons · Physics 2009-11-11 P. G. Kevrekidis , H. Susanto , Z. Chen

We examine the existence and stability of discrete spatial solitons in coupled nonlinear lasing cavities (waveguide resonators), addressing the case of active defocusing media, where the gain exceeds damping in the low-amplitude limit. A…