An \(ab\)-family of equations with peakon traveling waves (Q2814401)
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scientific article; zbMATH DE number 6596144
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An \(ab\)-family of equations with peakon traveling waves |
scientific article; zbMATH DE number 6596144 |
Statements
22 June 2016
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integrable equations
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Fokas-Olver-Rosenau-Qiao equation
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Novikov equation
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Camassa-Holm equation
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Degasperis-Procesi equation
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peakon
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multi-peakon
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0.9251781
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0.88851774
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0.8817497
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0.87982297
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0.8789074
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0.8724314
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0.8699316
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0.86723137
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An \(ab\)-family of equations with peakon traveling waves (English)
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The authors propose a two-parameter family of equations related to water wave models that could capture wave breaking. This family includes (integrable) equations of Fokas-Olver-Rosenau-Qiao and Novikov. These evolution equations with cubic nonlinearities possess special solutions, the so-called peakons, which are traveling waves with discontinuous derivatives at their peaks.
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