We investigate the spontaneous growth of noise that accompanies the nonlinear evolution of seeded modulation instability into Fermi–Pasta–Ulam recurrence. Results from the Floquet linear stabilityanalysis of periodic solutions of the three-wave truncation are compared with full numerical solutions of the nonlinear Schrödinger equation. The predicted initial stage of noise growth is in a goodagreementwith simulations, and is expected to provide further insight intothe subsequent dynamics of the fieldevolution after recurrence breakup.

Instability and noise-induced thermalization of Fermi–Pasta–Ulam recurrence in the nonlinear Schrödinger equation / Wabnitz, Stefan; Wetzel, Benjamin. - In: PHYSICS LETTERS A. - ISSN 0375-9601. - 378:(2014), pp. 2750-2756. [10.1016/j.physleta.2014.07.018]

Instability and noise-induced thermalization of Fermi–Pasta–Ulam recurrence in the nonlinear Schrödinger equation

WABNITZ, Stefan;
2014

Abstract

We investigate the spontaneous growth of noise that accompanies the nonlinear evolution of seeded modulation instability into Fermi–Pasta–Ulam recurrence. Results from the Floquet linear stabilityanalysis of periodic solutions of the three-wave truncation are compared with full numerical solutions of the nonlinear Schrödinger equation. The predicted initial stage of noise growth is in a goodagreementwith simulations, and is expected to provide further insight intothe subsequent dynamics of the fieldevolution after recurrence breakup.
2014
fluid mechanics; nonlinear optics; nonlinear waves; optical fibers
01 Pubblicazione su rivista::01a Articolo in rivista
Instability and noise-induced thermalization of Fermi–Pasta–Ulam recurrence in the nonlinear Schrödinger equation / Wabnitz, Stefan; Wetzel, Benjamin. - In: PHYSICS LETTERS A. - ISSN 0375-9601. - 378:(2014), pp. 2750-2756. [10.1016/j.physleta.2014.07.018]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1214346
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