Modulational instability of some nonlinear continuum and discrete systems

被引：0

作者：

Visinescu, A ^{[1
]}

Grecu, D ^{[1
]}

机构：

[1] Horia Hulubei Natl Inst Phys & Nucl Engn, Dept Theoret Phys, Bucharest, Romania

来源：

GLOBAL ANALYSIS AND APPLIED MATHEMATICS | 2004年 / 729卷

关键词：

modulational instability; NLS equation; Ablowitz-Ladik equation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Modulational instability (also known as the Benjamin-Feir instability) of quasi-monochromatic waves propagating in dispersive and weakly nonlinear media is a general phenomenon encountered in hydrodynamics, plasma physics, condensed matter and is responsible for the generation of robust solitary waves (sometime solitons). The statistical approach is reviewed for several nonlinear systems: the nonlinear Schrodinger equation, the discrete self-trapping equation and Ablowitz-Ladik equation. An integral stability equation is deduced from a linearized kinetic equation for the two-point correlation function. This is solved for several choices of the unperturbed initial spectral function.

引用

页码：389 / 395

页数：7

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