TY - JOUR
T1 - Discrete surface solitons in two dimensions
AU - Susanto, H.
AU - Kevrekidis, P. G.
AU - Malomed, B. A.
AU - Carretero-González, R.
AU - Frantzeskakis, D. J.
PY - 2007/5/9
Y1 - 2007/5/9
N2 - We investigate fundamental localized modes in two-dimensional lattices with an edge (surface). The interaction with the edge expands the stability area for fundamental solitons, and induces a difference between dipoles oriented perpendicular and parallel to the surface. On the contrary, lattice vortex solitons cannot exist too close to the border. We also show, analytically and numerically, that the edge supports a species of localized patterns, which exists too but is unstable in the uniform lattice, namely, a horseshoe-shaped soliton, whose "skeleton" consists of three lattice sites. Unstable horseshoes transform themselves into a pair of ordinary solitons.
AB - We investigate fundamental localized modes in two-dimensional lattices with an edge (surface). The interaction with the edge expands the stability area for fundamental solitons, and induces a difference between dipoles oriented perpendicular and parallel to the surface. On the contrary, lattice vortex solitons cannot exist too close to the border. We also show, analytically and numerically, that the edge supports a species of localized patterns, which exists too but is unstable in the uniform lattice, namely, a horseshoe-shaped soliton, whose "skeleton" consists of three lattice sites. Unstable horseshoes transform themselves into a pair of ordinary solitons.
UR - http://www.scopus.com/inward/record.url?scp=34347220563&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.75.056605
DO - 10.1103/PhysRevE.75.056605
M3 - Article
AN - SCOPUS:34347220563
SN - 1539-3755
VL - 75
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 5
M1 - 056605
ER -