Invariant tori for reversible nonlinear Schrödinger equations under quasi-periodic forcing

Abstract

In this paper, by infinite-dimensional reversible KAM (Kolmogorov–Arnold–Moser) theory, we prove the existence of invariant tori (thus quasi-periodic solutions) for a class of quasi-periodically forced reversible derivative nonlinear Schrodinger equations under periodic and Dirichlet boundary conditions. In the proof, we also use Birkhoff normal form techniques.