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The properties of surface plasmons localized at the interface between graphene and kerr-type nonlinear medium in three dimensions are investigated. Compared with surface plasmons at the surface of metal, with the inevitable nonlinear…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Lei Wang , Wei Cai , Xinzheng Zhang , F. J. Garcia de Abajo , Jingjun Xu

We obtain analytical expressions for an effective potential of interaction between two- and three-dimensional (2D and 3D) solitons (including the case of 2D vortex solitons) belonging to two different modes which are incoherently coupled by…

patt-sol · Physics 2009-10-31 Andrey Maimistov , Boris Malomed , Anton Desyatnikov

The idea of working with a near-critical phase-separated liquid mixture whereby the surface tension becomes weak, has recently made the field of laser manipulation of liquid interfaces a much more convenient tool in practice. The…

Optics · Physics 2009-11-10 Aslak Hallanger , Iver Brevik , Skjalg Haaland , Roger Sollie

We study discrete surface solitons in semi-infinite, one-dimensional, nonlinear (Kerr), quasiperiodic waveguide arrays of the Fibonacci and Aubry-Andr\'e types, and explore different families of localized surface modes, as a function of…

Pattern Formation and Solitons · Physics 2015-06-03 Alejandro J. Martinez , Mario I. Molina

This is a review addressing soliton-like states in systems with nonlocal nonlinearity. The work on this topic has long history. Some findings, such as optical solitons supported by thermal nonlinearity, and by the orientational nonlinearity…

Optics · Physics 2022-07-20 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 analyze discrete surface modes in semi-infinite binary waveguide arrays, which can support simultaneously two types of discrete solitons. We demonstrate that the analysis of linear surface states in such arrays provides important…

Pattern Formation and Solitons · Physics 2009-04-01 Mario I. Molina , Ivan L. Garanovich , Andrey A. Sukhorukov , Yuri S. Kivshar

We analyze the formation and dynamics of bright unstaggered solitons in the disk-shaped dipolar Bose-Einstein condensate, which features the interplay of contact (collisional) and long-range dipole-dipole (DD) interactions between atoms.…

Pattern Formation and Solitons · Physics 2015-05-14 Goran Gligorić , Aleksandra Maluckov , Milutin Stepić , Ljupčo Hadžievski , Boris A. Malomed

Spatial solitons can exist in various kinds of nonlinear optical resonators with and without amplification. In the past years different types of these localized structures such as vortices, bright, dark solitons and phase solitons have been…

Pattern Formation and Solitons · Physics 2009-11-07 V. B. Taranenko , G. Slekys , C. O. Weiss

We study experimentally the interactions between normal solitons and tilted beams in glass waveguide arrays. We find that as a tilted beam, traversing away from a normally propagating soliton, coincides with the self-defocusing regime of…

Pattern Formation and Solitons · Physics 2009-11-11 Y. Linzon , Y. Sivan , B. Malomed , M. Zaezjev , R. Morandotti , S. Bar-Ad

We investigate the propagation of the spatial soliton in cylindrical strongly nonlocal media by a novel method of image beam of light. The effect of the boundary on the soliton acting as the dynamic force for the soliton steering is…

Optics · Physics 2011-02-28 Qian Shou , Yanbin Liang , Qun Jiang , Yajian Zheng , Sheng Lan , Wei Hu , Qi Guo

A general method to find an effective potential of interaction between far separated 2D and 3D solitons is elaborated, including the case of 2D vortex solitons. The method is based on explicit calculation of the overlapping term in the full…

patt-sol · Physics 2009-10-31 Boris A. Malomed

Solitons are localised wave disturbances that propagate without changing shape, a result of a nonlinear interaction which compensates for wave packet dispersion. Individual solitons may collide, but a defining feature is that they pass…

Quantum Gases · Physics 2014-12-10 Jason H. V. Nguyen , Paul Dyke , De Luo , Boris A. Malomed , Randall G. Hulet

The scattering of 1D matter wave bright solitons on attractive potentials enables one to populate bound states, a feature impossible with noninteracting wave packets. Compared to noninteracting states, the populated states are renormalized…

Quantum Gases · Physics 2016-09-13 F. Damon , B. Georgeot , D. Guéry-Odelin

We investigate the equilibrium properties of a colloidal solution in contact with a soft interface. As a result of symmetry breaking, surface effects are generally prevailing in confined colloidal systems. In this Letter, particular…

Statistical Mechanics · Physics 2015-06-24 Hamid Kaidi , Thomas Bickel , Mabrouk Benhamou

We study families of one-dimensional matter-wave bright solitons supported by the competition of contact and dipole-dipole (DD) interactions of opposite signs. Soliton families are found, and their stability is investigated in the free…

Pattern Formation and Solitons · Physics 2015-05-20 J. Cuevas , Boris A. Malomed , P. G. Kevrekidis , D. J. Frantzeskakis

It is demonstrated the existence of multidimensional matter-wave solitons in a crossed optical lattice (OL) with linear OL in the $x-$direction and nonlinear OL (NOL) in the $y-$direction, where the NOL can be generated by a periodic…

Atomic Physics · Physics 2010-11-15 H. L. F. da Luz , F. Kh. Abdullaev , A. Gammal , M. Salerno , Lauro Tomio

We develop a general theory of spatial solitons in a liquid crystalline medium exhibiting a nonlinearity with an arbitrary degree of effective nonlocality. The model accounts the observability of "accessible solitons" and establishes an…

Optics · Physics 2009-11-10 Claudio Conti , Marco Peccianti , Gaetano Assanto

Recently it has been discovered that some nonlinear evolution equations in 2+1 dimensions, which are integrable by the use of the Spectral Transform, admit localized (in the space) soliton solutions. This article briefly reviews some of the…

patt-sol · Physics 2008-02-03 M. Boiti , L. Martina , F. Pempinelli

We demonstrate the behavior of the soliton which, while moving in non-dissipative and dispersion-constant medium encounters a finite-width barrier with varying dissipation and/or dispersion; beyond the layer dispersion is constant (but not…

Exactly Solvable and Integrable Systems · Physics 2020-02-04 Alexey Samokhin
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