Stationary solutions to cubic nonlinear Schr "odinger equations with\n quasi-periodic boundary conditions

2020/02/03 by Andrea Sacchetti, Sacchetti, Andrea
Mathematics · Physics and Astronomy · #33E05 #35Q55 #81Qxx #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2002.00803

openalex publication_date 2020/02/03 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

In this paper we give the emph quantization rules to determine the\nnormalized stationary solutions to the cubic nonlinear Schr "odinger equation\nwith quasi-periodic conditions on a given interval. Similarly to what happen\nin the Floquet's theory for linear periodic operators, also in this case some\nkind of band functions there exist.\n

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