Characterizing far from equilibrium states of the one-dimensional nonlinear Schr{ö}dinger equation
arXiv:2210.09812 · doi:10.21468/SciPostPhysCore.8.1.028
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{ö}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{ö}dinger equation and allows to identify the solitons velocity distribution in numerical simulations and possibly experiments.
Submission to SciPost
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