Effects of nonlocal dispersive interactions on self-trapping excitations

被引:86
作者
Gaididei, YB [1 ]
Mingaleev, SF [1 ]
Christiansen, PL [1 ]
Rasmussen, KO [1 ]
机构
[1] TECH UNIV DENMARK,DEPT MATH MODELLING,DK-2800 LYNGBY,DENMARK
来源
PHYSICAL REVIEW E | 1997年 / 55卷 / 05期
关键词
D O I
10.1103/PhysRevE.55.6141
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
A one-dimensional discrete nonlinear Schrodinger (NLS) model with the power dependence r(-s) on the distance r of the dispersive interactions is proposed. The stationary states psi(n) of the system are studied both analytically and numerically. Two types of stationary states are investigated: on-site and intersite states. It is shown that for s sufficiently large all features of the model are qualitatively the same as in the NLS model with a nearest-neighbor interaction. For s less than some critical value s(cr), there is an interval of bistability where two stable stationary states exist at each excitation number N = Sigma(n)\psi(n)\(2). For cubic nonlinearity the bistability of on-site solitons may occur for dipole-dipole dispersive interaction (s = 3), while s(cr) for intersite solitons is close to 2.1. For increasing degree of nonlinearity sigma, s(cr) increases. The long-distance behavior of the intrinsically localized states depends on s. For s > 3 their tails are exponential, while for 2 < s < 3 they are algebraic. In the continuum limit the model is described by a nonlocal MLS equation for which the stability criterion for the ground state is shown to be s < sigma + 1.
引用
收藏
页码:6141 / 6150
页数:10
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