TY - JOUR
T1 - Localized states in discrete nonlinear Schrödinger equations
AU - Cai, David
AU - Bishop, A. R.
AU - Grønbech-Jensen, Niels
PY - 1994
Y1 - 1994
N2 - A new 1D discrete nonlinear Schrödinger (NLS) Hamiltonian is introduced which includes the integrable Ablowitz-Ladik system as a limit. The symmetry properties of the system are studied. The relationship between intrinsic localized states and the soliton of the Ablowitz-Ladik NLS is discussed, including the role of discretization as a mechanism controlling collapse. It is pointed out that a staggered localized state can be viewed as a particle of a negative effective mass. It is shown that staggered localized states can exist in the discrete dark NLS. The motion of localized states and Peierls-Nabarro pinning are also studied.
AB - A new 1D discrete nonlinear Schrödinger (NLS) Hamiltonian is introduced which includes the integrable Ablowitz-Ladik system as a limit. The symmetry properties of the system are studied. The relationship between intrinsic localized states and the soliton of the Ablowitz-Ladik NLS is discussed, including the role of discretization as a mechanism controlling collapse. It is pointed out that a staggered localized state can be viewed as a particle of a negative effective mass. It is shown that staggered localized states can exist in the discrete dark NLS. The motion of localized states and Peierls-Nabarro pinning are also studied.
UR - http://www.scopus.com/inward/record.url?scp=3743081187&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=3743081187&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.72.591
DO - 10.1103/PhysRevLett.72.591
M3 - Article
AN - SCOPUS:3743081187
SN - 0031-9007
VL - 72
SP - 591
EP - 595
JO - Physical Review Letters
JF - Physical Review Letters
IS - 5
ER -