English

Anderson localized states for the quasi-periodic nonlinear wave equation on $\mathbb Z^d$

Mathematical Physics 2026-04-20 v2 Dynamical Systems math.MP

Abstract

We establish large sets of Anderson localized states for the quasi-periodic nonlinear wave equation on Zd\mathbb Z^d, thus extending nonlinear Anderson localization from the random \cite{BW08} to a deterministic setting.

Keywords

Cite

@article{arxiv.2306.00513,
  title  = {Anderson localized states for the quasi-periodic nonlinear wave equation on $\mathbb Z^d$},
  author = {Yunfeng Shi and W. -M. Wang},
  journal= {arXiv preprint arXiv:2306.00513},
  year   = {2026}
}

Comments

A revised version; to appear in JMPA; 40 pages