LOCALIZED STATES IN DISCRETE NONLINEAR SCHRODINGER-EQUATIONS

被引:162
作者
CAI, D [1 ]
BISHOP, AR [1 ]
GRONBECHJENSEN, N [1 ]
机构
[1] LOS ALAMOS NATL LAB,CTR NONLINEAR STUDIES,LOS ALAMOS,NM 87545
关键词
D O I
10.1103/PhysRevLett.72.591
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A new 1D discrete nonlinear Schrodinger (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.
引用
收藏
页码:591 / 595
页数:5
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