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Title

Stabilization of Unsteady Nonlinear Waves by Phase-Space Manipulation

Authors
Chabchoub, Amin
Trillo, Stefano
Published in Physical review letters. 2021, vol. 126, no. 174501
Abstract We introduce a dynamic stabilization scheme universally applicable to unidirectional nonlinear coherent waves. By abruptly changing the waveguiding properties, the breathing of wave packets subject to modulation instability can be stabilized as a result of the abrupt expansion a homoclinic orbit and its fall into an elliptic fixed point (center). We apply this concept to the nonlinear Schrödinger equation framework and show that an Akhmediev breather envelope, which is at the core of Fermi-Pasta-Ulam-Tsingou recurrence and extreme wave events, can be frozen into a steady periodic (dnoidal) wave by a suitable variation of a single external physical parameter. We experimentally demonstrate this general approach in the particular case of surface gravity water waves propagating in a wave flume with an abrupt bathymetry change. Our results highlight the influence of topography and waveguide properties on the lifetime of nonlinear waves and confirm the possibility to control them.
Keywords Rogue wavesWater wavesIntability controlSurface gravity wavesNonlinear wavesWaterSchrödinger equation
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Article (Accepted version) (829 Kb) - public document Free access
Appendix (859 Kb) - public document Free access
Other version: https://link.aps.org/doi/10.1103/PhysRevLett.126.174501
Structures
Research groups Groupe Kasparian
ISE Pôle Informatique environnementale
ISE Pôle Sciences
Projects
Swiss National Science Foundation: 200020_175697
Autre: University of Sydney{University of Geneva Partnership collaboration award
Citation
(ISO format)
GOMEL, Alexis et al. Stabilization of Unsteady Nonlinear Waves by Phase-Space Manipulation. In: Physical Review Letters, 2021, vol. 126, n° 174501. doi: 10.1103/PhysRevLett.126.174501 https://archive-ouverte.unige.ch/unige:151325

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Deposited on : 2021-04-28

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