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

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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Source https://hal.science/hal-00819359
Author Gaillard, Pierre
Maintainer CCSD
Last Updated May 11, 2026, 06:28 (UTC)
Created May 11, 2026, 06:28 (UTC)
Identifier hal-00819359
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Institut de Mathématiques de Bourgogne [Dijon] (IMB) ; Université de Bourgogne (UB)-Centre National de la Recherche Scientifique (CNRS)
creator Gaillard, Pierre
date 2013-04-30T00:00:00
harvest_object_id dc6e87c6-9632-4e2c-8e37-935a93b882e9
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-03-31T00:00:00
set_spec type:UNDEFINED