Work

Surface solitons in three dimensions

Year: 2008

Type: article

Abstract: We study localized modes on the surface of a three-dimensional dynamical lattice. The stability of these structures on the surface is investigated and compared to that in the bulk of the lattice. Typically, the surface makes the stability region larger, an extreme example of that being the three-site "horseshoe"-shaped structure, which is always unstable in the bulk, while at the surface it is stable near the anticontinuum limit. We also examine effects of the surface on lattice vortices. For the vortex placed parallel to the surface, the increased stability-region feature is also observed, while the vortex cannot exist in a state normal to the surface. More sophisticated localized dynamical structures, such as five-site horseshoes and pyramids, are also considered.

Source: Physical Review E

DOI: 10.1103/physreve.78.036605

Authors: Q. E. Hoq, R. Carretero-González, P. G. Kevrekidis, B. A. Malomed, D. J. Frantzeskakis, Yu. V. Bludov, V. V. Konotop

Institutions: Western New England University, San Diego State University, University of Massachusetts Amherst, Tel Aviv University, National and Kapodistrian University of Athens, University of Lisbon, Centro de Física Teórica e Computacional

Language: English

Topic: Nonlinear Photonic Systems

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2001661678

FWCI: 3.096

Cites: 47

Cited by: 19

Related to: 10