Quasiperiodic solutions to nonlinear random Schrödinger equations at fixed potential realizations-Reference-Cited by-同舟云学术

Quasiperiodic solutions to nonlinear random Schrödinger equations at fixed potential realizations

Published:2023-03-01 Issue:3 Volume:64 Page:032701
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:J. Math. Phys.

Author:

Geng Jiansheng¹^ORCID,Sun Yingnan²^ORCID,Wang W.-M.³^ORCID

Affiliation:

1. Department of Mathematics, Nanjing University, Nanjing 210093, China

2. School of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China

3. CNRS and Département de Mathématique, Cergy Paris Université, 95302 Cergy-Pontoise Cedex, France

Abstract

In this paper, we study the discrete nonlinear random Schrödinger equation [Formula: see text] on [Formula: see text], where 0 < ɛ, δ ≪ 1, Δ is the discrete Laplacian, and V is the random potential. We fix the random potential V in a good set. Then, we use small amplitudes as parameters to construct quasiperiodic solutions of the nonlinear random Schrödinger equation.

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://aip.scitation.org/doi/pdf/10.1063/5.0134120

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