代表性成果：

1. Random attractors for stochastic discrete Klein-Gordon-Schrodinger equations driven by fractional Brownian motions,  Discrete and Continuous Dynamical Systems Series B, 2017，22(4): 1587-1599.

2. Random attractors for the stochastic coupled fractional Ginzburg-Landau equation with additive noise, Journal of Mathematical Physics, 2015(56):102702. (with P. Li, J. Zhang and O. Liao).

3. On a class of nonlinear Schrodinger equations with nonnegative potential in two space dimensions, Mathematical Notes, 2012，91（4）：487-492.(with J. Zhang).

4. Instability of standing waves for a weakly coupled nonlinear Schrodinger system, Applicable Analysis, 2009,88(1):53-62. (with J. Zhang).

5. Sharp criterion of global existence for nonlinear Schrodinger equation with harmonic potential, Acta Mathematica Sinica, English Series, 2009,25(4):537-544. (with J. Zhang).

6. Global existence for a system of weakly coupled nonlinear Schrodinger equations, Mathematical Notes, 2009，85（6）：650-654.(with J. Zhang).

7. Sharp conditions of global existence for quasi-linear Schrodinger equation, Functional Analysis and Applications,2008,42(2):135-140.(with J. Zhang).

8. Sharp condition of global existence for second order derivative nonlinear Schrodinger equations in two space dimensions, Journal of Mathematical Analysis and Applications, 2007, 326(2):1001-1006. (with J. Zhang).

9. Instability of standing waves for a class of nonlinear Schrodinger equations, Journal of Mathematical Analysis and Applications，2007, 327(2):878-890. (with J. Zhang).

10. Sharp conditions of global existence for the generalized Davey-Stewartson system, IMA Journal of Applied Mathematics，2007，72(1)：36-42.(with J. Zhang).

11. On a class of quasilinear Schrodinger equations, Applied Mathematics and Mechanics, English Series, 2007,28(7),981-986. (with J. Zhang).

12. Nonlinear Schrodinger equation with harmonic potential, Journal of Mathematical Physics, 2006，47(6):063503. (with J. Zhang).

13. Sharp criterion of global existence for a class of nonlinear Schrodinger equation with critical exponent, Applied Mathematics and Computation，2006, 182(2):1482-1487.(with J. Zhang).

14. 舒级, 张键. 一类吸引玻色-爱因斯坦凝聚的坍塌性质. 应用数学学报，2004, 27(1):142-148.

15. 舒级，张键. 具阻尼的Gross-Pitaevskii(GP)方程在二维空间中的稳定性. 数学进展，2007，36（4）：453-458.

 16.舒级，张键.一类具非线性二阶导数项的Schrodinger方程整体解存在的最佳条件, 应用数学学报, 2007, 30(3): 462-467. 

17.舒级，张键.双波作用模型在三次非线性介质中的整体解存在的最佳条件, 数学年刊, 2007, 28A(6):843-852. 

18. 舒级，张键. 一类具非齐次项的非线性Schrodinger方程整体解存在的最佳条件， 应用数学学报，2009, 32（2）：193-199． 

19. 舒级，张健. 一类带乘性噪声的随机非线性Schrodinger方程的整体解（英文）.  数学进展，2010，39(3),313-318. 

20. 赵修文，李一鸣，舒级. 一类具非齐次项的非线性Schrodinger方程驻波的稳定性. 应用数学学报，33(6)，1072-1077, 2010.