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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 address the properties and dynamical stability of one-dimensional vector lattice solitons in Kerr-type cubic medium with harmonic transverse modulation of refractive index. We discovered that unstable families of scalar lattice solitons…

The results of recent experiments [1] on observing soliton lattices and their dislocations in vertical cylindrical channels filled with immiscible fluids with strongly different viscosities and but slightly different densities are…

Pattern Formation and Solitons · Physics 2026-04-01 E. A. Kuznetsov

We report on the first experimental observation of a novel type of optical vector soliton, a {\em dipole-mode soliton}, recently predicted theoretically. We show that these vector solitons can be generated in a photorefractive medium…

We introduce a general model which augments the one-dimensional nonlinear Schr\"{o}dinger (NLS) equation by nonlinear-diffraction terms competing with the linear diffraction. The new terms contain two irreducible parameters and admit a…

Mathematical Physics · Physics 2015-06-04 Y. Shen , P. G. Kevrekidis , N. Whitaker , Boris A. Malomed

We study propagation of light in nonlinear diffraction-managed photonic lattices created with arrays of periodically-curved coupled optical waveguides which were fabricated using femtosecond laser writing in silica glass, and titanium…

Surface plasmon polaritons (SPPs) are coherent electromagnetic surface waves trapped on an insulator-conductor interface. The SPPs decay exponentially along the propagation due to conductor losses, restricting the SPPs propagation length to…

Optics · Physics 2015-12-11 M. Mattheakis , T. Oikonomou , M. I. Molina , G. P. Tsironis

This review article provides a concise summary of one- and two-dimensional models for the propagation of linear and nonlinear waves in fractional media. The basic models, which originate from fractional quantum mechanics and more…

Pattern Formation and Solitons · Physics 2024-01-10 Boris A. Malomed

Optical soliton pulses offer many applications within optical communication systems, but by definition a soliton is only subjected to second-order anomalous group-velocity-dispersion; an understanding of higher-order dispersion is necessary…

Optics · Physics 2015-06-12 Matthew Marko , Andrzej Veitia , Xiujian Li , Jiangjun Zheng , Cheewei Wong

An asymmetric pair of coupled nonlinear Schr{\"o}dinger (CNLS) equations has been derived through a multiscale perturbation method applied to a plasma fluid model, in which two wavepackets of distinct carrier wavenumbers and amplitudes are…

Plasma Physics · Physics 2024-03-22 N. Lazarides , Giorgos P. Veldes , D. J. Frantzeskakis , Ioannis Kourakis

In recent years, there has been considerable interest in the study of wave propagation in nonlinear photonic lattices. The interplay between nonlinearity and periodicity has led researchers to manipulate light and discover new and…

Pattern Formation and Solitons · Physics 2022-12-26 Mark J. Ablowitz , Justin T. Cole

We reveal and observe experimentally significant modifications undertaken by discrete solitons in waveguide lattices upon the continuous transformation of the lattice structure from one-dimensional to two-dimensional. Light evolution and…

This article presents a concise survey of basic discrete and semi-discrete nonlinear models which produce two- and three-dimensional (2D and 3D) solitons, and a summary of main theoretical and experimental results obtained for such…

Pattern Formation and Solitons · Physics 2024-01-31 Boris A. Malomed

Phonon dispersion in a two-dimensional electron-lattice system described by a two-dimensional square-lattice version of Su-Schrieffer-Heeger's model and having the half-filled electronic band is studied theoretically at temperatures higher…

Soft Condensed Matter · Physics 2009-11-10 Shutaro Chiba , Yoshiyuki Ono

We study families of solitons in a two-dimensional (2D) model of the light transmission through a photorefractive medium equipped with a (quasi-)one-dimensional photonic lattice. The soliton families are bounded from below by finite minimum…

Pattern Formation and Solitons · Physics 2009-11-11 Thawatchai Mayteevarunyoo , Boris A. Malomed

We develop a general classification of the infinite number of families of solitons and soliton complexes in the one-dimensional Gross-Pitaevskii/nonlinear Schrodinger equation with a nonlinear lattice pseudopotential, i.e., periodically…

Pattern Formation and Solitons · Physics 2016-08-03 M. E. Lebedev , G. L. Alfimov , Boris A. Malomed

We present an analysis of modulational instability of diffractionless waves in a face-centered square lattice of waveguides featuring non-Kerr nonlinearity, which are constituted by a combination of positive and negative refractive indices.…

Pattern Formation and Solitons · Physics 2020-12-09 A. K. Shafeeque Ali , Andrei I. Maimistov , K. Porsezian , A. Govindarajan , M. Lakshmanan

We show dissipative spatial solitons in nonlinear optical micro-resonators in which the refractive index is laterally modulated. In addition to "normal" and "staggered" dissipative solitons, similar to those in spatially modulated…

Optics · Physics 2009-11-10 Kestutis Staliunas

We present two complementary models to study stationary nonlinear solutions in one-dimensional plasmonic slot waveguides made of a finite-thickness nonlinear dielectric core surrounded by metal regions. The considered nonlinearity is of…

Optics · Physics 2016-01-20 Wiktor Walasik , Gilles Renversez

In this article, an analytical model is proposed for the study of Transverse-electric (TE) surface plasmon polaritons (SPPs) in nonlinear multi-layer graphene-based waveguides. Each graphene sheet has been located between two different…

Optics · Physics 2021-07-06 Mohammad Bagher Heydari