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math.AP2021
The Existence of full dimensional tori for d-dimensional Nonlinear Schr$\ddot{\mbox{O}}$dinger equation
Hongzi Cong, Xiaoqing Wu, Yuan Wu
In this paper, we prove the existence of full dimensional tori for -dimensional nonlinear Schr$\ddot{\mbox{o}}$dinger equation with periodic boundary conditions \begin{equation*…
math.AP2021
The Existence of Full Dimensional KAM tori for Nonlinear Schrödinger equation
Hongzi Cong
In this paper, we will prove the existence of full dimensional tori for 1-dimensional nonlinear Schrödinger equation with periodic boundary conditions \begin{equation*}\label{L1} \…
math.AP2019
The existence of full dimensional invariant tori for 1-dimensional nonlinear wave equation
Hongzi Cong, Xiaoping Yuan
In this paper we prove the existence and linear stability of full dimensional tori with subexponential decay for 1-dimensional nonlinear wave equation with external parameters, whi…