Spacetime quasiperiodic solutions to a nonlinear Schrodinger equation on Z Academic Article

abstract

• We consider a discrete non-linear Schrdinger equation on Z and show that, after adding a small potential localized in the time-frequency space, one can construct a three-parametric family of non-decaying spacetime quasiperiodic solutions to this equation. The proof is based on the CraigWayneBourgain method combined with recent techniques of dealing with Anderson localization for two-dimensional quasiperiodic operators with degenerate frequencies.

authors

• Liu, Wencai

published proceedings

• JOURNAL OF MATHEMATICAL PHYSICS

author list (cited authors)

• Kachkovskiy, I., Liu, W., & Wang, W.

citation count

• 0

complete list of authors

• Kachkovskiy, Ilya||Liu, Wencai||Wang, Wei-Min

publication date

• January 2024

publisher

• AIP Publishing  Publisher

published in

• Journal of Mathematical Physics  Journal

keywords

• 49 Mathematical Sciences
• 4902 Mathematical Physics

Digital Object Identifier (DOI)

• 10.1063/5.0166183

start page

• 011502

volume

• 65

issue

• 1

URL

• http://dx.doi.org/10.1063/5.0166183