Asymptotic stability of solitary waves for the Benjamin-Bona-Mahony equation (Q5921655)
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scientific article; zbMATH DE number 2215270
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic stability of solitary waves for the Benjamin-Bona-Mahony equation |
scientific article; zbMATH DE number 2215270 |
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Asymptotic stability of solitary waves for the Benjamin-Bona-Mahony equation (English)
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18 October 2005
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The author studies the asymptotic stability in \(H^1(\mathbb R)\) of the two-parameter family of solitary-wave solutions of the Benjamin-Bona-Mahony equation (also known as the regularized long-wave equation), using a Liouville type theorem for the flow close to the solitary waves.
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solitary waves
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Benjamin-Bona-Mahony equation
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asymptotic stability
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