2 papers
math.DS2023
Quasi-Periodic solutions of Two Dimensional Completely Resonant Reversible Schrödinger d Systems
Yingnan Sun, Shuaishuai Xue
We introduce an abstract KAM (Kolmogorov-Arnold-Moser) theorem for infinite dimensional reversible Schrödinger systems. Using this KAM theorem together with partial Birkhoff normal…
math.DS2019
A KAM Theorem for Two-dimensional Nonlinear Schrödinger Equations
Jiansheng Geng, Shuaishuai Xue
We prove an infinite dimensional KAM theorem. As an application, we use the theorem to study the two-dimensional nonlinear Schrödinger equation $$iu_t-\triangle u +|u|^2u+\frac{\pa…