Strongly localized modes in discrete systems with quadratic nonlinearity

被引:42
作者
Darmanyan, S
Kobyakov, A
Lederer, F
机构
[1] Univ Jena, Inst Solid State Theory & Theoret Opt, D-07743 Jena, Germany
[2] Russian Acad Sci, Inst Spect, Troitsk 142092, Moscow Region, Russia
来源
PHYSICAL REVIEW E | 1998年 / 57卷 / 02期
关键词
D O I
10.1103/PhysRevE.57.2344
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
We report the existence of bright and dark families of strongly localized modes in discrete systems with a quadratic nonlinearity. It is shown analytically and confirmed numerically that the second-harmonic field may form stable bound states with fundamental fields of different topologies. Furthermore, we found different types of solutions having analogs neither in other discrete models nor in continuum models and studied the background stability of dark modes.
引用
收藏
页码:2344 / 2349
页数:6
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