Surface solitons in three dimensions

Authors

QE Hoq
R Carretero-Gonzalez
PG Kevrekidis, University of Massachusetts - AmherstFollow
BA Malomed
DJ Frantzeskakis
YV Bludov
VV Konotop

Publication Date

2008

Journal or Book Title

PHYSICAL REVIEW E

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.

Comments

This is the pre-published version harvested from arXiv. The published version is located at http://pre.aps.org/abstract/PRE/v78/i3/e036605

Pages

-

Volume

78

Issue

3

Recommended Citation

Hoq, QE; Carretero-Gonzalez, R; Kevrekidis, PG; Malomed, BA; Frantzeskakis, DJ; Bludov, YV; and Konotop, VV, "Surface solitons in three dimensions" (2008). PHYSICAL REVIEW E. 75.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/75