Statistical approach to modulational instability in nonlinear discrete systems

被引：5
|
作者：
Grecu, D [1 ]
Visinescu, A [1 ]
机构：
[1] Natl Inst Phys & Nucl Engn Horia Hulubei, Dept Theoret Phys, Bucharest, Romania
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2005年 / 144卷 / 01期
关键词：
modulational instability; nonlinear discrete systems;
D O I：
10.1007/s11232-005-0119-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We use a statistical approach to investigate the modulational instability (Benjamin-Feir instability) in several nonlinear discrete systems: the discrete nonlinear Schrodinger (NLS) equation, the Ablowitz-Ladik equation, and the discrete deformable NLS equation. We derive a kinetic equation for the two-point correlation function and use a Wigner-Moyal transformation to write it in a mixed space-wave-number representation. We perform a linear stability analysis of the resulting equation and discuss the obtained integral stability condition using several forms of the initial unperturbed spectrum (Lorentzian and & spectrum). We compare the results with the continuum limit (the NLS equation) and with previous results.
引用
收藏
页码：927 / 934
页数：8
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