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200 papers

When wind blows at the surface of a liquid of sufficiently high viscosity, a wave packet of small amplitude is first generated, which sporadically forms large-amplitude fluid bumps that rapidly propagate downstream. These nonlinear…

Fluid Dynamics · Physics 2020-12-09 M. Aulnette , M. Rabaud , F. Moisy

We study solitons in the condensate trapped in a double-well potential with far-separated wells, when the s-wave scattering length has different signs in the two parts of the condensate. By employing the coupled-mode approximation it is…

Soft Condensed Matter · Physics 2009-11-10 Valery S. Shchesnovich , Solange B. Cavalcanti , Roberto A. Kraenkel

We put forward a model for trapping stable optical vortex solitons (VSs) with high topological charges $m$. The cubic-quintic nonlinear medium with an imprinted ring-shaped modulation of the refractive index is shown to support two branches…

Optics · Physics 2023-08-23 Liangwei Dong , Mingjing Fan , Boris A. Malomed

We discuss the formation of self-trapped localized states near the edge of a semi-infinite array of nonlinear waveguides. We study a crossover from nonlinear surface states to discrete solitons by analyzing the families of odd and even…

Pattern Formation and Solitons · Physics 2009-11-11 M. I. Molina , R. A. Vicencio , Y. S. Kivshar

We introduce topological vector edge solitons in a Floquet insulator, consisting of two honeycomb arrays of helical waveguides with opposite directions of rotation in a focusing nonlinear optical medium. Zigzag edges of two arrays placed in…

Collective excitations, such as vortex-antivortex and dark solitons, are among the most fascinating effects of macroscopic quantum states. However, 2D dark solitons are unstable and collapse into vortices due to snake instabilities. Making…

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

Nonlocality is a key feature of many physical systems since it prevents a catastrophic collapse and a symmetry-breaking azimuthal instability of intense wave beams in a bulk self-focusing nonlinear media. This opens up an intriguing…

Pattern Formation and Solitons · Physics 2017-02-16 V. M. Biloshytskyi , A. O. Oliynyk , P. M. Kruglenko , A. S. Desyatnikov , A. I. Yakimenko

We introduce a novel class of parametric optical solitons supported simultaneously by two second-order nonlinear cascading processes, second-harmonic generation and sum-frequency mixing. We obtain, analytically and numerically, the…

patt-sol · Physics 2019-08-17 Yuri S. Kivshar , Tristram J. Alexander , Solomon Saltiel

The origin of the Kerr type nonlinearity of the medium as a result of the interaction between photons via the Dirac delta-potential is presented in the formalism adopted from the photon wave function approach. In the view of the result the…

Optics · Physics 2007-05-23 Jaroslaw Zalesny

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

We have reviewed recent developments of some aspects of optical spatial solitons in photorefractive media. Underlying principles governing the dynamics of photorefractive nonlinearity have been discussed using band transport model.…

Optics · Physics 2012-09-12 S. Konar , Anjan Biswas

We observe experimentally higher-order solitons in waveguide arrays with defocusing saturable nonlinearity. Such solitons can comprise several in-phase bright spots and are stable above a critical power threshold. We elucidate the impact of…

We discover that at the edge of optical lattice imprinted in saturable nonlinear media one-dimensional surface solitons exist only within a band of light intensities, and that they cease to exist when the lattice depth exceeds an upper…

We derive the nonlinear equations governing the dynamics of three-dimensional (3D) disturbances in a nonuniform rotating self-gravitating fluid under the assumption that the characteristic frequencies of disturbances are small compared to…

Pattern Formation and Solitons · Physics 2023-02-15 Volodymyr M. Lashkin , Oleg K. Cheremnykh , Zahida Ehsan , Nazia Batool

We systematically investigate the existence, stability, and propagation dynamics of multipole-mode (necklace-shaped) solitons in the two-dimensional model of an optical medium with the defocusing saturable nonlinearity and an annular…

Pattern Formation and Solitons · Physics 2025-11-25 Xiaoli Lang , Boris A. Malomed , Liangwei Dong

We demonstrate the existence of dynamically stable multihump solitary waves in polaron-type models describing interaction of envelope and lattice excitations. In comparison with the earlier theory of multihump optical solitons [see Phys.…

Pattern Formation and Solitons · Physics 2009-10-31 Elena A. Ostrovskaya , Serge F. Mingaleev , Yuri S. Kivshar , Yuri B. Gaididei , Peter L. Christiansen

We report on the phenomenon of controllable soliton dragging by dynamical optical lattices induced by three imbalanced interfering plane waves. Because of such an imbalance, the transverse momentum of the lattice does not vanish, and thus…

We study a new class of vector solitons in trapped Nonlinear Schrodinger systems modelling the dynamics of coupled light beams in GRIN Kerr media and atomic mixtures in Bose-Einstein condensates. These solitons exist for different spatial…

Pattern Formation and Solitons · Physics 2009-11-07 Victor M. Perez-Garcia , Vadym Vekslerchik

A new type of long-lived solitary structures for paraxial optics with two circular polarizations of light in a homogeneous defocusing Kerr medium with an anomalous group velocity dispersion has been revealed numerically in the coupled…

Optics · Physics 2023-05-31 Victor P. Ruban