4 papers · 1 filter
On the construction of almost periodic solutions for the derivative nonlinear Schrödinger equation
Yuchen WU, Xiaoping Yuan
In this paper, we consider a derivative nonlinear Schrödinger equation on the torus $…
Quasi-periodic Dynamics for Multi-dimensional Quasi-linear Schrödinger Equations via Resonant Mode Control
Zuhong You, Xiaoping Yuan
This paper focuses on the problem of quasi-periodic solutions for multi-dimensional quasi-linear Schrödinger equation. To address the challenge of unbounded perturbations caused by…
Construction of periodic solutions of multi-dimensional nonlinear wave equations with unbounded perturbation
Huining Xue, Zuhong You, Xiaoping Yuan
By applying the Craig-Wayne-Bourgain (CWB) method, we establish the persistence of periodic solutions to multi-dimensional nonlinear wave equations (NLW) with unbounded perturbatio…
Long time stability for KAM tori of the derivative nonlinear Schrödinger equation
Shengqing Hu, Huining Xue, Xiaoping Yuan
This paper is concerned with the long time stability of KAM tori for a class of derivative nonlinear Schrödinger equations subjected to periodic boundary condition.