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Scientific article
Open access
English

Recurrence in the high-order nonlinear Schrödinger equation: A low dimensional analysis

Publication date2017
Abstract

We study a three-wave truncation of the high-order nonlinear Schrödinger equation for deep-water waves (also named Dysthe equation). We validate the model by comparing it to numerical simulation; we distinguish the impact of the different fourth-order terms and classify the solutions according to their topology. This allows us to properly define the temporary spectral upshift occurring in the nonlinear stage of Benjamin-Feir instability and provides a tool for studying further generalizations of this model.

Keywords
  • Nonlinear waves
  • Hydrodynamic models
  • Breathers
Classification
  • arxiv : physics.flu-dyn
Citation (ISO format)
ARMAROLI, Andrea, BRUNETTI, Maura, KASPARIAN, Jérôme. Recurrence in the high-order nonlinear Schrödinger equation: A low dimensional analysis. In: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 2017, vol. 96, p. 012222. doi: 10.1103/PhysRevE.96.012222
Main files (1)
Article (Accepted version)
accessLevelPublic
Identifiers
ISSN of the journal1063-651X
585views
192downloads

Technical informations

Creation07/26/2017 7:00:00 PM
First validation07/26/2017 7:00:00 PM
Update time03/15/2023 1:51:51 AM
Status update03/15/2023 1:51:50 AM
Last indexation05/02/2024 7:25:56 PM
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