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

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.

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