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

preprint2020arXivOpen access

Abstract

In this paper we give the \emph {quantization rules} to determine the normalized stationary solutions to the cubic nonlinear Schrödinger 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.

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