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

Abstract : 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.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [14 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00927132
Contributor : Pierre Gaillard <>
Submitted on : Saturday, March 8, 2014 - 4:48:38 PM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM
Long-term archiving on : Sunday, June 8, 2014 - 10:42:53 AM

File

nlsN8P14C2-8VE2.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00927132, version 2

Citation

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

Share

Metrics

Record views

206

Files downloads

127