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

Pierre Gaillard (1)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]

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.

Mots clés: Akhmediev's solutions; NLS equation; Peregrine breathers; Akhmediev's solutions.

Domaines: Physique mathématique [math-ph]

Pierre Gaillard. Eighth order Peregrine breather solution of the NLS equation and their deformations with fourteen parameters.. 2014. ⟨hal-00927132v1⟩