TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.8.1.028
TI  - Characterizing far from equilibrium states of the one-dimensional nonlinear Schrödinger equation
PY  - 2025/03/06
UR  - https://www.scipost.org/SciPostPhysCore.8.1.028
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 8
IS  - 1
SP  - 028
A1  - Saha, Abhik Kumar
AU  - Dubessy, Romain
AB  - We use the mathematical toolbox of the inverse scattering transform to study quantita- tively the number of solitons in far from equilibrium one-dimensional systems described by the defocusing nonlinear Schrödinger equation. We present a simple method to iden- tify 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 Schrödinger equation and allows to identify the solitons velocity distribution in numerical simulations and possibly experiments.
ER  -

@Article{10.21468/SciPostPhysCore.8.1.028,
	title={{Characterizing far from equilibrium states of the one-dimensional nonlinear Schrödinger equation}},
	author={Abhik Kumar Saha and Romain Dubessy},
	journal={SciPost Phys. Core},
	volume={8},
	pages={028},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.8.1.028},
	url={https://scipost.org/10.21468/SciPostPhysCore.8.1.028},
}