STABILITY OF THE BEKKI-NOZAKI HOLE SOLUTIONS TO THE ONE-DIMENSIONAL COMPLEX GINZBURG-LANDAU EQUATION

被引：38

作者：

CHATE, H

MANNEVILLE, P

机构：

[1] Service de Physique de l'Etat Condensé, Centre d'Etudes de Saclay

来源：

PHYSICS LETTERS A | 1992年 / 171卷 / 3-4期

关键词：

D O I：

10.1016/0375-9601(92)90424-K

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The linear stability of the family of "hole" solutions to the one-dimensional complex Ginzburg-Landau equation found by Bekki and Nozaki is determined by studying the linearized problem in a well-adapted referential. The neutral subspace is found to possess a non-trivial structure. The loss of stability can be two-fold: a "phase" instability related to continuous parts of the spectrum, and a "core" instability related to a discrete mode. The symmetric, zero velocity hole is found to be the least stable solution of the family (core-wise), and the core instability boundaries are determined in the parameter plane for two different hole velocities.

引用

页码：183 / 188

页数：6

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