Ten-parameters deformations of the sixth order Peregrine breather solutions of the NLS equation. - Archive ouverte HAL Accéder directement au contenu
Rapport Année : 2013

Ten-parameters deformations of the sixth order Peregrine breather solutions of the NLS equation.

Résumé

In this paper, we construct new deformations of the Peregrine breather of order 6 with 10 real parameters. We obtain new families of quasi-rational solutions of the NLS equation. With this method, we construct new patterns of different types of rogue waves. We get as already found for the lower order, the triangular configurations and rings isolated. Moreover, one sees for certain values of the parameters the appearance of new configurations of concentric rings.
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Dates et versions

hal-00827908 , version 1 (29-05-2013)
hal-00827908 , version 2 (13-06-2013)
hal-00827908 , version 3 (13-06-2013)

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  • HAL Id : hal-00827908 , version 3

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Pierre Gaillard. Ten-parameters deformations of the sixth order Peregrine breather solutions of the NLS equation.. 2013. ⟨hal-00827908v3⟩
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