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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.
math.DS2016
Quasi-periodic solutions for perturbed generalized nonlinear vibrating string equation with singularities
Chengming Cao, Xiaoping Yuan
{\bf Abstract}: The existence of 2-dimensional KAM tori is proved for the perturbed generalized nonlinear vibrating string equation with singularities $u_{tt}=((1-x^2)u_x)_x-mu-u^3…