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arXiv · 2210.09812

Characterizing far from equilibrium states of the one-dimensional nonlinear Schr{\"o}dinger equation

Abhik Kumar Saha·Romain Dubessy
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Abstract

We use the mathematical toolbox of the inverse scattering transform to study quantitatively the number of solitons in far from equilibrium one-dimensional systems described by the defocusing nonlinear Schr{\"o}dinger equation. We present a simple method to identify the discrete eigenvalues in the Lax spectrum and provide a extensive benchmark of its efficiency. Our method can be applied in principle to all physical systems described by the defocusing nonlinear Schr{\"o}dinger equation and allows to identify the solitons velocity distribution in numerical simulations and possibly experiments.

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Abhik Kumar Saha, Romain Dubessy. 2022-10-18. Characterizing far from equilibrium states of the one-dimensional nonlinear Schr{\"o}dinger equation. https://doi.org/10.21468/scipostphyscore.8.1.028

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