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科研成果：主持国家自然科学基金数学天元基金一项，2012.1-2012.12；
主持河南省教育厅科学技术研究重点项目一项，2012.1-2013.12；
主持国家自然科学基金青年项目一项，2014.1-2016.12；
主持教育部全国优秀博士学位论文作者专项资金资助项目一项，2013.1-2017.12；代表性论文：1. X.G. Geng, R.M. Li and B. Xue, A new integrable equation with peakons
and cuspons and its bi-Hamiltonian structure, Applied Mathematics Letters 46, 8 (2015) 64–69.
2. F. Li, B. Xue and Y. Li, Conservation laws and Hamiltonian structures of
the generalized sine-Gordon hierarchy, Modern Physics Letters B 28, 32 (2014) 1450248.
3. S.H. Xu and B. Xue, Hamiltonian structures and conservation laws of the Belov-Chaltikian lattice hierarchy, Journal of Mathematical Physics 55, 6 (2014) 063505.
4. 薛波, 具有N-peakon的新可积模型与孤子方程的代数几何解, 中国科学A辑：数学 43，9 (2013) 847-858.
5. X.G. Geng, X. Zeng and B. Xue, Algebro-geometric solutions of the TD hierarchy, Mathematical Physics, Analysis and Geometry 16, 3 (2013) 229–251.
6. B. Xue, F. Li and X.G. Geng, Quasi-periodic solutions of coupled KdV type equations, Journal of Nonlinear Mathematical Physics 20, 1 (2013) 61-77.
7. X.G. Geng, B. Xue, and LH. Wu, A super Camassa–Holm equation with N-peakon solutions, Studies in Applied Mathematics 130, 1 (2013) 1-16.
8. B. Xue, X.G. Geng and F. Li, Quasiperiodic solutions of Jaulent-Miodek equations with a negative flow, Journal of Mathematical Physics 53, 6 (2012) 063710.
9. X.G. Geng and B. Xue, N-Soliton and Quasi-Periodic Solutions of the KdV6 Equations, Applied Mathematics and Computation 219, 8 (2012) 3504-3510.
10. B. Xue and C.M. Wu, Conservation laws and Darboux transformation for Sharma–Tasso–Olver equation, Communications in Theoretical Physics 58, 3 (2012) 317–322.
11. B. Xue and X. Wang, The Darboux transformation and new explicit solutions for the Belov–Chaltikian lattice, Chinese Physics Letters 29, 10 (2012) 100201.
12. X.G. Geng, F. Li and B. Xue, A generalization of Toda Lattices and their bi-Hamiltonian structures, Modern Physics Letters B 26, 13 (2012) 1250078.
13. X.G. Geng and B. Xue, A three-component generalization of Camassa-Holm equation with N-peakon solutions, Advances in Mathematics 226, 1 (2011) 827-839.
14. X.G. Geng and B. Xue, Quasi-periodic solutions of mixed AKNS equations, Nonlinear Analysis: Theory, Methods & Applications 73, 11 (2010) 3662-3674.
15. X.G. Geng and B. Xue, Soliton solutions and quasiperiodic solutions of modified Korteweg-de Vries type equations, Journal of Mathematical Physics 51, 6 (2010) 063516.
16. X.G. Geng and B. Xue, Some new integrable nonlinear evolution equations and their infinitely many conservation laws, Modern Physics Letters B 24, 19 (2010) 2077–2090.
17. X.G. Geng and B. Xue, An extension of integrable peakon equations with cubic nonlinearity, Nonlinearity 22, 8 (2009
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