12,Xu,Xindong KAM Theorem for a Hamiltonian System with Sublinear Growth Frequencies at Infinity. J. Dyn. Diff. Equat. 32, 2079–2108 (2020). 

11,Wu,Hao; Xu,Xindong; Zhang,Dongfeng; On the ultradifferentiable normalization, Mathematische Zeitschrift,2021,1-29, https://doi.org/10.1007/s00209-021-02708-8.

10，Xindong Xu,Jiangong You, Qi Zhou; Quasi-periodic  solutions of NLS with Liouvillean Frequencies. To appear in Analysis & PDE

9,Xu, Xindong;  Quasi-Periodic Solutions for Fractional Nonlinear Schrödinger Equation.J. Dynam. Differential Equations 30  (2018),  no. 4, 1855–1871

8，Xu, Xindong  Quasi-periodic solutions for  class of Hamiltonian partial differential equations with fixed constant potential，Frontiers of Mathematics in China,Front. Math. China 13  (2018),  no. 1, 227–254

7, Xu, Xindong; Zhang, Dongfeng; Full dimension tori of Schrödinger   equation. J. Math. Phys. 57 (2016), no. 11, 112702, 17 pp.   

6, Wu, Jian; Xu, Xindong A KAM theorem for some partial differential equations in one dimension. Proc. Amer. Math. Soc. 144 (2016), no. 5,

5, Shi, Yanling; Xu, Junxiang; Xu, Xindong On quasi-periodic solutions for generalized Boussinesq equation with quadratic nonlinearity. J. Math. Phys. 56 (2015), no. 2, 022703, 15 pp. 35Q53 (35B15) 

4,Procesi, Michela; Xu, Xindong Quasi-Töplitz functions in KAM theorem. SIAM J. Math. Anal. 45 (2013), no. 4, 2148–2181.

3,Geng, Jiansheng; Xu, Xindong Almost periodic solutions of one dimensional Schrödinger equation with the external parameters. J. Dynam. Differential Equations 25 (2013), no. 2, 435–450.

2,Geng, Jiansheng; Xu, Xindong; You, Jiangong An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation. Adv. Math. 226 (2011), no. 6, 5361–5402.

1, Xu, XinDong; Geng, JianSheng KAM tori for higher dimensional beam equation with a fixed constant potential. Sci. China Ser. A 52 (2009), no. 9, 2007–2018.