STABILITY OF PHASE-SINGULAR SOLUTIONS TO THE ONE-DIMENSIONAL COMPLEX GINZBURG-LANDAU EQUATION

Authors
SASA S IWAMOTO T
Citation
S. Sasa et T. Iwamoto, STABILITY OF PHASE-SINGULAR SOLUTIONS TO THE ONE-DIMENSIONAL COMPLEX GINZBURG-LANDAU EQUATION, Physics letters. A, 175(5), 1993, pp. 289-294
Citations number
10
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
175
Issue
5
Year of publication
1993
Pages
289 - 294
Database
ISI
SICI code
0375-9601(1993)175:5<289:SOPSTT>2.0.ZU;2-I
Abstract
Linear stability of phase-singular solutions to the one-dimensional co mplex Ginzburg-Landau equation is determined by analysing an ordinary differential equation with suitable boundary conditions. An equation f or discrete eigenvalues is derived in the simplest form. Based on our formulation, it is shown that topologically unstable phase-singular so lutions are dynamically stable against localized disturbances in some parameter regions. Combining a phase instability boundary, we complete a stability diagram for the solutions.