Title of article
Stationary modulated-amplitude waves in the 1D complex Ginzburg–Landau equation
Author/Authors
Lan، نويسنده , , Yueheng and Garnier، نويسنده , , Nicolas and Cvitanovi?، نويسنده , , Predrag، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
20
From page
193
To page
212
Abstract
We reformulate the 1D complex Ginzburg–Landau equation as a fourth-order ordinary differential equation in order to find stationary spatially periodic solutions. Using this formalism, we prove the existence and stability of stationary modulated-amplitude wave solutions. Approximate analytic expressions and a comparison with numerics are given.
Keywords
Complex Ginzburg–Landau equation , Coherent structures
Journal title
Physica D Nonlinear Phenomena
Serial Year
2004
Journal title
Physica D Nonlinear Phenomena
Record number
1725356
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