Stationary modulated-amplitude waves in the 1-D complex Ginzburg-Landau equation

Details Stationary modulated-amplitude waves in the 1-D complex Ginzburg-Landau equation Stationary modulated-amplitude waves in the 1-D complex Ginzburg-Landau equation

2002-07-31

arxiv.org/abs/nlin/0208001v1

Nonlinear Sciences

Pattern Formation and Solitons

29 pages, 4 figures

Scientific paper

We reformulate the one-dimensional 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.

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