EVOLUTION OF PATTERNS IN THE ANISOTROPIC COMPLEX GINZBURG-LANDAU EQUATION - MODULATIONAL INSTABILITY

被引：11

作者：

BROWN, R ^{[1
]}

FABRIKANT, AL ^{[1
]}

RABINOVICH, MI ^{[1
]}

机构：

[1] RUSSIAN ACAD SCI, INST APPL PHYS, NIZHNII NOVGOROD, RUSSIA

来源：

PHYSICAL REVIEW E | 1993年 / 47卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.47.4141

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 investigate the instability of the anisotropic complex Ginzburg-Landau equation as a function of its parameters. We derive the conditions necessary for the instability of a homogeneous solution. In addition, the analytic geometry of the unstable solutions in wave-number space is investigated. This allows us to establish the most unstable wave (as a function of Reynolds number) whose evolution will eventually dominate the dynamics.

引用

页码：4141 / 4150

页数：10

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