Well-posedness and persistence property for a four-component Novikov system with peakon solutions (Q303860)
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scientific article; zbMATH DE number 6618728
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Well-posedness and persistence property for a four-component Novikov system with peakon solutions |
scientific article; zbMATH DE number 6618728 |
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Well-posedness and persistence property for a four-component Novikov system with peakon solutions (English)
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22 August 2016
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The authors study the Cauchy problem for a four-component Novikov system. This system has explicit solutions (peakons) which can be interpreted as approximations to the extreme solutions of equations for water waves propagating over a flat bed. The results include local-in-time well-posedness in Besov spaces and criteria for blow-up of solutions.
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four-component Novikov system
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local well-posedness
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blow-up criteria
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peakon solutions
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