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Physics of counterpropagating optical beams and spatial optical solitons is reviewed, including the formation of stationary states and spatiotemporal instabilities. First, several models describing the evolution and interactions between…

Optics · Physics 2009-10-27 M. Petrovic , M. Belic , C. Denz , Yu. Kivshar

In this paper the theory and simulation results are presented for 3D cylindrical rotationally symmetric spatial soliton propagation in a nonlinear medium using a modified finite-difference time-domain general vector auxiliary differential…

Optics · Physics 2025-09-10 Caleb J. Grimms , Robert D. Nevels

We show that when a single vortex convected by a flowing background collides with an oblique dark soliton in defocusing Kerr-type medium, it passes through the oblique soliton, but this process is accompanied by a considerable vertical…

Optics · Physics 2015-06-19 Yaroslav V. Kartashov , Anatoly M. Kamchatnov

Using a combination of the variation approximation (VA) and direct simulations, we consider the light transmission in nonlinearly amplified bulk media, taking into account the localization of the gain, i.e., the linear loss shaped as a…

Optics · Physics 2015-05-19 V. Skarka , N. B. Aleksić , H. Leblond , B. A. Malomed , D. Mihalache

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

It is studied the bright spatial solitons in nonlocal defocusing Kerr media with parity-time (PT) symmetric potentials. We find that these solitons can exist and be stable over a different range of potential parameters. The influence of the…

Optics · Physics 2015-05-30 Zhiwei Shi , Huagang Li , Xing Zhu , Xiujuan Jiang

The optical Kerr micro-ring provides an ideal platform for the study of dissipative optical solitons. Dissipative solitons are localized waves produced by a precise equilibrium between dispersion and nonlinearity, as well as gain and loss.…

Optics · Physics 2025-07-15 Zijian Zhang , Chaoying Zhao

Wecritically review the recent progress in understanding soliton propagation in birefringent optical fibers.By constructing the most general bright two-soliton solution of the integrable coupled nonlinear Schroedinger equation (Manakov…

Exactly Solvable and Integrable Systems · Physics 2019-08-17 M. Lakshmanan , T. Kanna , R. Radhakrishnan

We introduce a new form of stable spatio-temporal self-trapped optical packets stemming from the interplay of local and nonlocal nonlinearities. Pulsed self-trapped light beams in media with both electronic and molecular nonlinear responses…

The effects caused by nonresonant nonlinear interaction between noncollinear self-focusing beams are considered in 2D optical samples using multi-scale analysis. The analytical expression for the beams trajectories shift due to the mutual…

Other Condensed Matter · Physics 2009-11-10 Ramaz Khomeriki , Lasha Tkeshelashvili

We introduce the simplest model to describe parametric interactions in a quadratically nonlinear optical medium with the fundamental harmonic containing two components with (slightly) different carrier frequencies [which is a direct analog…

Pattern Formation and Solitons · Physics 2009-11-07 I. N. Towers , B. A. Malomed

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

The edge diffraction of a homogeneously polarized light beam is studied theoretically based on the paraxial optics and Fresnel-Kirchhoff approximation, and the dependence of the diffracted beam pattern of the incident beam polarization is…

Optics · Physics 2017-08-02 Aleksandr Ya. Bekshaev

We investigate the transverse instability of two-component solitons forming in a planar waveguide operating in the regime of strong light-matter coupling. The instability emerges as a result of the coupling between transverse diffraction of…

Pattern Formation and Solitons · Physics 2025-11-07 Alexey V. Yulin , Dmitry A. Zezyulin

The dynamics of light beams in the nonlinear optical media with periodically modulated in the longitudinal direction parity-time distribution of the complex refractive index is investigated. The possibility of dynamical stabilization of…

Pattern Formation and Solitons · Physics 2018-02-14 F. Kh. Abdullaev , R. M. Galimzyanov

By means of the optical metric, we investigate the propagation of a polarized light in an inhomogeneous medium in this paper. We find that the evolution of photons is affected by the spin-spin interaction of photons, besides the spin-orbit…

Optics · Physics 2015-06-15 Hehe Li , Zhigang Bu , Yuee Luo , Wenbo Chen , Peiyong Ji

We investigate non-autonomous solitons in a general coherently coupled nonlinear Schr\"odinger (CCNLS) system with temporally modulated nonlinearities and with an external harmonic oscillator potential. This general CCNLS system encompasses…

Pattern Formation and Solitons · Physics 2020-08-17 R. Babu Mareeswaran , K. Sakkaravarthi , T. Kanna

By using a reductive perturbation technique applied to a two-level model, this study puts forward a generic two-dimensional sine-Gordon evolution equation governing the propagation of femtosecond spatiotemporal optical solitons in Kerr…

Optics · Physics 2011-02-08 Hervé Leblond , Dumitru Mihalache

We report results for solitons in models of waveguides with focusing or defocusing saturable nonlinearity and a parity-time(PT )-symmetric complex-valued external potential of the Scarf-II type. The model applies to the nonlinear wave…

Optics · Physics 2018-04-11 Pengfei Li , Dumitru Mihalache , Boris A. Malomed

We demonstrate a stable, mobile, dipolar or nondipolar three-dimensional matter-wave soliton in the vortex core of a uniform nondipolar condensate. All intra- and inter-species contact interactions can be repulsive for a strongly dipolar…

Quantum Gases · Physics 2016-01-28 S. K. Adhikari