Sufficient conditions for stability of solitary-wave solutions of model equations for long waves (Q1096808)
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scientific article; zbMATH DE number 4032252
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sufficient conditions for stability of solitary-wave solutions of model equations for long waves |
scientific article; zbMATH DE number 4032252 |
Statements
Sufficient conditions for stability of solitary-wave solutions of model equations for long waves (English)
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1987
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We consider solitary-wave solutions of model equations for long waves that feature a general form of linear dispersion. Sufficient conditions for the non-linear stability of such solutions are derived. These conditions are shown to obtain for the Korteweg-de Vries equation and certain of its generalizations such as the Benjamin-Ono equation and the intermediate long-wave equation.
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solitary-wave solutions
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long waves
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linear dispersion
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non-linear stability
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Korteweg-de Vries equation
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Benjamin-Ono equation
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intermediate long-wave equation
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