Tenth Peregrine breather solution of the NLS equation.

We go on in this paper, in the study of the solutions of the focusing NLS equation. With a new representation given in a preceding paper, a very compact formulation without limit as a quotient of two determinants, we construct the Peregrine breather of order N=10. The explicit analytical expression of the Akhmediev's solution is completely given.

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Source https://hal.science/hal-00743859
Author Gaillard, Pierre
Maintainer CCSD
Last Updated June 1, 2026, 06:15 (UTC)
Created June 1, 2026, 06:15 (UTC)
Identifier hal-00743859
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 2012-12-08T00:00:00
harvest_object_id 0e14d33a-be6a-4904-b299-04036948b1bf
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