1.X.L. Wu*, On the Cauchy problem for the periodic generalized Degasperis-Procesi equation, J. Funct. Anal., 260(2011) 1428--1445.
2.X.L. Wu* and Z.Y. Yin, Well-posedness and global existence for the Novikov equation, Annali Sc. Norm. Sup.Pisa, XI(2012) 707--727.
3.X.L. Wu* and B.L. Guo, Persistence properties and infinite propagation for the modified 2-component Camassa-Holm equation, Discrete Contin. Dyn. Syst. A, 33(2013) 3211--3223.
4.X.L. Wu*, On some wave breaking for the nonlinear integrable shallow water wave equations, Nonlinear Anal. TMA. 127(2015) 352--361.
5.X.L. Wu* and B.L. Guo, The Cauchy problem of the modified CH and DP equations, IMA J. Appl. Math., 80, 3 (2015) 906-930.
6.X.L. Wu*, On the Cauchy problem of a three Camassa--Holm equations. Discrete Contin. Dyn. Syst. A, 36, 5 (2016) 2827--2854.
7.X.L. Wu*, On the blow-up phenomena of solutions for the full compressible Euler equations in R^N. Nonlinearity, 29 (2016) 3837--3856.
8.B.L. Guo and X.L. Wu*,Qualitative analysis of solution for the full compressible Euler equations in R^N. Indiana Univ. Math. J. 67 (2018) 343--373.
9.X.L.Wu*, On the finite time singularities for a class of Degasperis--Procesi equations. Nonlinear Analysis: Real World Applications,44 (2018) 1--17.
10.Z. Wang and X.L. Wu*, Well-posedness and blow-up criterion of solution for the Chaplygin gas equations in R^N. J. Hyperbolic Differ. Equ., 16, 4 (2019) 639--661.
11.X.L. Wu* and B.L. Guo, Qualitative analysis of Solutions for the Generalized
Zakharov equations with Magnetic field in R^N. Indiana Univ. Math. J., 70, 1 (2021), 49--79.
12. X.L. Wu*, Isentropic approximation and Gevrey regularity for the full compressible Euler equations in R^N. J. Math. Fluid Mech., 23 (2021), 1--16.
13. X.L. Wu*, Isentropic approximation of the compressible Euler equations in Besov spaces. Studied in Applied Math., 146 4(2021), 1050--1062.
14. L.J. Du and X.L. Wu*, Global well-posedness for a two- component b-family equations in H^{s-1,p}xH^{s,p}. J. Math. Fluid Mech., 24 (2022), 1--17.
15. X.L. Wu, Absence of singularities in solutions for the compressible Euler equations with source terms in R^d. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 153 (2023), 978--1001.
16. X.L. Wu, Onsager's energy conservation of solutions for density-dependent Euler equations in Td. Nonlinear Anal. TMA, 233(2023), 113300.
17. L.J. Du and X.L. Wu*, Some new asymptotic behaviors of a two-component b-family
equations, Ann. Mat. Pura Appl., 203(2024), 1-20.
18. Z.Y. Liu, X.L. Wu* and B.L. Guo, Global analyticity and the lower bounds of analytic radius for the Chaplygin gas equations with source terms. J. Differential Equations 419 (2025), 81–113.
19. X.L. Wu*, Z.Y. Liu and B.L. Guo, Revisiting Energy Conservation in Euler Equations: From the homogeneous case to the inhomogeneous case, SCIENCE CHINA
Mathematics, 419 (2026), 81-113.
20. X.L. Wu* and B.L. Guo, Analysis on exact solutions for the incompressible Euler equations in RN, Acta Math. Sci. Ser. B (English Ed.), 46B (2026), 1-14.
