Asymptotic behaviour of solutions of the Korteweg-de Vries equation (Q1075531)
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scientific article; zbMATH DE number 3951163
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behaviour of solutions of the Korteweg-de Vries equation |
scientific article; zbMATH DE number 3951163 |
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Asymptotic behaviour of solutions of the Korteweg-de Vries equation (English)
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1985
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An upper bound for the decay of the solutions of the Korteweg-de Vries equations with smooth initial conditions is obtained. Namely, \(t^{- 1/3}\) for any solution and \(t^{-2/3}\) for the solitonless ones.
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soliton solution
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scattering theory
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decay of the solutions
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Korteweg-de Vries equations
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0.9810997
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0.97239166
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0.97102845
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0.96592957
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0.9612485
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0.9557269
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0.9549165
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0.9498162
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