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We introduce a new concept for stable spatial soliton formation, mediated by the competition between self-bending induced by a strongly asymmetric nonlocal nonlinearity and spatially localized gain superimposed on a wide pedestal with…

Fundamental solitons pinned to the interface between three semi-infinite one-dimensional nonlinear dynamical chains, coupled at a single site, are investigated. The light propagation in the respective system with the self-attractive on-site…

Pattern Formation and Solitons · Physics 2015-05-28 M. Stojanovic , A. Maluckov , Lj. Hadzievski , B. A. Malomed

In this paper, we employ, for the first time, the holographic gravity approach to investigate the dynamical stability of solitons in spherical superfluids. Transverse perturbations are applied to the background of spherical soliton…

High Energy Physics - Theory · Physics 2025-10-29 Meng Gao , Yu Tian , Changxu Yan , Hongbao Zhang

We address the issue of mobility of localized modes in two-dimensional nonlinear Schr\"odinger lattices with saturable nonlinearity. This describes e.g. discrete spatial solitons in a tight-binding approximation of two-dimensional optical…

Pattern Formation and Solitons · Physics 2009-11-11 Rodrigo A. Vicencio , Magnus Johansson

We demonstrate that periodic modulation of the nonlinearity coefficient in the discrete nonlinear Schr\"{o}dinger (DNLS) equation can strongly facilitate creation of traveling solitons in the lattice. We predict this possibility in an…

Other Condensed Matter · Physics 2015-05-25 Jesus Cuevas , Boris A. Malomed , Panayotis G. Kevrekidis

Two-dimensional spatial solitonic lattices are generated and investigated experimentally and numerically in an SBN:Ce crystal. An enhanced stability of these lattices is achieved by exploiting the anisotropy of coherent soliton interaction,…

Pattern Formation and Solitons · Physics 2007-05-23 M. Petrovic , D. Traeger , A. Strinic , M. Belic , J. Schroeder , C. Denz

We have developed a model of the nonlinear polariton dynamics in realistic 3D non-planar microcavity wires in the driven-dissipative regime. We find that the typical microcavity optical bistability evolves into multistability upon variation…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 G. Slavcheva , M. V. Koleva , A. Pimenov

This paper reviews theoretical advances on the formation and stabilization of multidimensional solitons in nonlinear Schr\"odinger systems with attractive interactions, focusing on atomic Bose-Einstein condensates and nonlinear optics.…

Quantum Gases · Physics 2026-03-31 Fatkhulla Abdullaev , Mario Salerno

With reference to spatially non-local nematic liquid crystals, we develop a theory of optical spatial solitons and modulational instability in anisotropic media with arbitrarily large birefringence. Asymmetric spatial profiles and…

Optics · Physics 2007-05-23 Claudio Conti , Marco Peccianti , Gaetano Assanto

We describe an effective resonant interaction between two localized wave modes of different nature: a plasmon-polariton at a metal surface and a self-focusing beam (spatial soliton) in a non-linear dielectric medium. Propagating in the same…

Optics · Physics 2015-05-13 K. Y. Bliokh , Y. P. Bliokh , A. Ferrando

The effects of long-range intermolecular interactions on characteristic features of soliton bound states, consisting of localized excitons and polaritons in molecular crystals interacting with a high-intensity optical field, are…

Optics · Physics 2019-12-17 E. Nji Nde Aboringong , Alain M. Dikandé

We model discrete spatial solitons in a periodic nonlinear medium encompassing any degree of transverse non locality. Making a convenient reference to a widely used material -nematic liquid crystals-, we derive a new form of the discrete…

Pattern Formation and Solitons · Physics 2009-11-11 Andrea Fratalocchi , Gaetano Assanto

The bright soliton in optical fiber is generally investigated via its spatial evolution in the time domain, where its waveform is considered in many studies. To be consistent with the well-established picture of the dynamics of solitons in…

Optics · Physics 2007-05-23 Yi Tang , Wei Wang

Spatiotemporal solitons (STSs) are localized solitary waves in both space and time that involve complex linear and nonlinear processes. Optical STSs have been observed in various media, but they are difficult to be realized in multimode…

Pattern Formation and Solitons · Physics 2016-07-20 Yao Wang , Shuo Yan , Jianqiu Xu , Yulong Tang

We address azimuthally modulated Bessel optical lattices imprinted in focusing cubic Kerr-type nonlinear media, and reveal that such lattices support different types of stable solitons, whose complexity increases with growth of lattice…

We develop a theory of soliton spiraling in a bulk nonlinear medium and reveal a new physical mechanism: periodic power exchange via induced coherence, which can lead to stable spiraling and the formation of dynamical two-soliton states.…

patt-sol · Physics 2009-10-31 Alexander V. Buryak , Yuri S. Kivshar , Ming-feng Shih , Mordechai Segev

We address the properties of optical solitons in thermal nonlinear media with a local refractive index defect that is capable to trap solitons launched even close to the sample boundary despite the boundary-mediated forces that tend to…

Pattern Formation and Solitons · Physics 2015-05-19 Fangwei Ye , Yaroslav V. Kartashov , Bambi Hu , Lluis Torner

We report an optical fiber experiment in which we investigate the interaction between an individual soliton and a dense soliton gas. We evidence a refraction phenomenon where the tracer soliton experiences an effective velocity change due…

Pattern Formation and Solitons · Physics 2023-03-24 Pierre Suret , Martin Dufour , Giacomo Roberti , Gennady El , Francois Copie , Stephane Randoux

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

We study the scattering of solitons in the nonlinear Schroedinger equation on local inhomogeneities which may give rise to resonant transmission and reflection. In both cases, we derive resonance conditions for the soliton's velocity. The…

Soft Condensed Matter · Physics 2009-11-10 A. E. Miroshnichenko , S. Flach , B. Malomed
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