Local well-posedness and stability of solitary waves for the two-component Dullin-Gottwald-Holm system (Q393199)
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scientific article; zbMATH DE number 6246137
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local well-posedness and stability of solitary waves for the two-component Dullin-Gottwald-Holm system |
scientific article; zbMATH DE number 6246137 |
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Local well-posedness and stability of solitary waves for the two-component Dullin-Gottwald-Holm system (English)
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16 January 2014
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In the current paper the authors studied the local well-posedness of the two-componetnt Dullin-Gottwald-Holm system in nonhomogeneuos Besov spaces. The obtained outcomes generalize some previous local well-posed results in Sovolev spaces. It is proven that all the smooth solitary wave solutions are orbitally stable under small disturbances.
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orbital stability
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Besov spaces
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