期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 241, 期 2, 页码 115-124出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physd.2011.10.004
关键词
Discrete nonlinear Schrodinger equation; Variational approximation; Discrete solitons; Anti-continuum limit
资金
- Deutsche Forschungsgemeinschaft (DEG) [SCHN 520/8-1]
- Humboldt Research Foundation
The variational approximation is a well known tool to approximate localized states in nonlinear systems. In the context of a discrete nonlinear Schrodinger equation with a small coupling constant, we prove error estimates for the variational approximations of site-symmetric, bond-symmetric, and twisted discrete solitons. This is shown for various trial configurations, which become increasingly more accurate as more parameters are taken. It is also shown that the variational approximation yields the correct spectral stability result and controls the oscillatory dynamics of stable discrete solitons for long but finite time intervals. (C) 2011 Elsevier B.V. All rights reserved.
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