TY - JOUR
T1 - Localized solutions for a nonlocal discrete NLS equation
AU - Ben, Roberto I.
AU - Cisneros Ake, Luís
AU - Minzoni, A. A.
AU - Panayotaros, Panayotis
N1 - Publisher Copyright:
© 2015 Elsevier B.V.
PY - 2015/12/11
Y1 - 2015/12/11
N2 - We study spatially localized time-periodic solutions of breather type for a cubic discrete NLS equation with a nonlocal nonlinearity that models light propagation in a liquid crystal waveguide array. We show the existence of breather solutions in the limit where both linear and nonlinear intersite couplings vanish, and in the limit where the linear coupling vanishes with arbitrary nonlinear intersite coupling. Breathers of this nonlocal regime exhibit some interesting features that depart from what is seen in the NLS breathers with power nonlinearity. One property we see theoretically is the presence of higher amplitude at interfaces between sites with zero and nonzero amplitude in the vanishing linear coupling limit. A numerical study also suggests the presence of internal modes of orbitally stable localized modes.
AB - We study spatially localized time-periodic solutions of breather type for a cubic discrete NLS equation with a nonlocal nonlinearity that models light propagation in a liquid crystal waveguide array. We show the existence of breather solutions in the limit where both linear and nonlinear intersite couplings vanish, and in the limit where the linear coupling vanishes with arbitrary nonlinear intersite coupling. Breathers of this nonlocal regime exhibit some interesting features that depart from what is seen in the NLS breathers with power nonlinearity. One property we see theoretically is the presence of higher amplitude at interfaces between sites with zero and nonzero amplitude in the vanishing linear coupling limit. A numerical study also suggests the presence of internal modes of orbitally stable localized modes.
UR - http://www.scopus.com/inward/record.url?scp=84937760398&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2015.04.012
DO - 10.1016/j.physleta.2015.04.012
M3 - Artículo
SN - 0375-9601
VL - 379
SP - 1705
EP - 1714
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 30-31
ER -