Traveling hole solutions of the complex Ginzburg-Landau equation: A review (Q5940213)
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scientific article; zbMATH DE number 1624677
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Traveling hole solutions of the complex Ginzburg-Landau equation: A review |
scientific article; zbMATH DE number 1624677 |
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Traveling hole solutions of the complex Ginzburg-Landau equation: A review (English)
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6 January 2002
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Traveling holes make a one-parameter family of solutions to complex Ginzburg-Landau (CGL) equations which asymptotically connect plane waves of different amplitudes and different wave numbers. This paper reviews recent works concerning such solutions. After a short introduction to CGL equations and weak turbulence, the author turns to some properties of traveling holes and their stability. Finally, some open questions are discussed.
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one-parameter family of solutions
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traveling holes and their stability
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