In this paper we give the 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.
Stationary solutions to cubic nonlinear Schrödinger equations with quasi-periodic boundary conditions / Sacchetti, A.. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 53:38(2020), pp. 385204-385204. [10.1088/1751-8121/aba861]
Stationary solutions to cubic nonlinear Schrödinger equations with quasi-periodic boundary conditions
Sacchetti A.
2020
Abstract
In this paper we give the 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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