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math.AP2024
Construction of Quasi-periodic solutions with the same Gevrey index as nonlinear terms in Multi-Dimensional NLS
Zuhong You, Xiaoping Yuan
We investigate the persistency of quasi-periodic solutions to multi-dimensional nonlinear Schrödinger equations (NLS) involving Gevrey smooth nonlinearity with an arbitrary Gevrey…
math.DS2024
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.