Deformations of the seventh order Peregrine breather solutions of the NLS equation with twelve parameters.

We study the solutions of the one dimensional focusing NLS equation. Here we construct new deformations of the Peregrine breather of order 7 with 12 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 recover triangular configurations as well as rings isolated. As already seen in the previous studies, one sees appearing for certain values of the parameters, new configurations of concentric rings.

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Source https://hal.science/hal-00870156
Author Gaillard, Pierre
Maintainer CCSD
Last Updated May 9, 2026, 11:31 (UTC)
Created May 9, 2026, 11:31 (UTC)
Identifier hal-00870156
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 2013-10-05T00:00:00
harvest_object_id e7e8e511-6e18-4c7b-829f-8a6970b11fd3
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