Scientific article
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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
Journal ISSN1063-651X
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218downloads

Technical informations

Creation26/07/2017 21:00:00
First validation26/07/2017 21:00:00
Update time20/01/2025 10:58:42
Status update20/01/2025 10:58:42
Last indexation20/01/2025 11:11:57
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