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Pré-Publication, Document De Travail Année : 2013

The fifth order Peregrine breather and its eight-parameters deformations solutions of the NLS equation.

Résumé

We construct here new deformations of the Peregrine breather of order 5 with 8 real parameters. This gives new families of quasi-rational solutions of the NLS equation and thus one can describe in a more precise way the phenomena of appearance of multi rogue waves. With this method, we construct new patterns of different types of rogue waves. We get at the same time, the triangular configurations as well as rings isolated. Moreover, one sees appearing for certain values of the parameters, new configurations of concentric rings.
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Dates et versions

hal-00819359 , version 1 (30-04-2013)

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  • HAL Id : hal-00819359 , version 1

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Pierre Gaillard. The fifth order Peregrine breather and its eight-parameters deformations solutions of the NLS equation.. 2013. ⟨hal-00819359⟩
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