# Stationary solutions to cubic nonlinear Schrödinger equations with quasi-periodic boundary conditions

@article{Sacchetti2020StationaryST,
title={Stationary solutions to cubic nonlinear Schr{\"o}dinger equations with quasi-periodic boundary conditions},
author={Andrea Sacchetti},
journal={Journal of Physics A: Mathematical and Theoretical},
year={2020}
}
• A. Sacchetti
• Published 3 February 2020
• Mathematics
• Journal of Physics A: Mathematical and Theoretical
In this paper we give the \emph {quantization rules} to determine the normalized stationary solutions to the cubic nonlinear Schr\"odinger equation with quasi-periodic conditions on a given interval. \ Similarly to what happen in the Floquet's theory for linear periodic operators, also in this case some kind of band functions there exist.
2 Citations

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