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Title

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

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Published in Physical Review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 2017, vol. 96, p. 012222
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 wavesHydrodynamic modelsBreathers
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arXiv: 1703.09482
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Research groups ISE Pôle Sciences
ISE Climat
Project FNS: 200021-155970
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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. https://archive-ouverte.unige.ch/unige:95765

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Deposited on : 2017-07-31

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