On localized solutions of discrete nonlinear Schrodinger equation - An exact result

被引：12
|
作者：
Pacciani, P
Konotop, VV
Menzala, GP
机构：
[1] Univ Lisbon, Ctr Fis Teor & Computac, P-1649003 Lisbon, Portugal
[2] Univ Lisbon, Dept Fis, Fac Ciencias, P-1749016 Lisbon, Portugal
[3] Natl Lab Sci Computat, BR-25651070 Petropolis, RJ, Brazil
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2005年 / 204卷 / 1-2期
关键词：
discrete nonlinear Schrodinger equation; localized solutions; local and global existence;
D O I：
10.1016/j.physd.2005.04.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Local and global existence of localized solutions of a discrete nonlinear Schrodinger (DNLS) equation, with arbitrary on-site nonlinearity, is proved. In particular, it is shown that an initially localized excitation persists localized during infinite time. Moreover, if initial localization is stronger than vertical bar n vertical bar(-d) with any power d, it maintains itself as such during infinite time. The results are generalized to various types of inter-side and saturable nonlinearities, to lattices with long range interactions, as well as DNLS with dissipation. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：122 / 133
页数：12
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