Eighth order Peregrine breather solution of the NLS equation and their deformations with fourteen parameters. - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2014

Eighth order Peregrine breather solution of the NLS equation and their deformations with fourteen parameters.

Résumé

We construct new families of quasi-rational solutions of the NLS equation of order 8 with 14 real parameters. We obtain new patterns of different types of rogue waves. We recover the triangular configurations as well as rings isolated as found for the lower orders. Moreover, one sees appearing for certain values of the parameters, new configurations of concentric rings.
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Dates et versions

hal-00927132 , version 1 (11-01-2014)
hal-00927132 , version 2 (08-03-2014)

Identifiants

  • HAL Id : hal-00927132 , version 2

Citer

Pierre Gaillard. Eighth order Peregrine breather solution of the NLS equation and their deformations with fourteen parameters.. 2014. ⟨hal-00927132v2⟩
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