程纪鹏，男，山东临沂人，中国矿业大学数学学院教授，博士生导师， 江苏高校“青蓝工程”优秀青年骨干教师. 2011年博士毕业于中国科技大学，荣获中科院院长优秀奖、中国矿业大学"科研育人"先进个人和校百佳本科教学教师奖. 研究方向：数学物理、可积系统，目前主要研究KP及其相关可积系统，发表科研论文60余篇，包括Advances in Mathematics, Selecta Mathematica-New Series，International Mathematics Research Notices，Letters in Mathematical Physics, Journal of Mathematical Physics，Journal of Geometry and Physics，Science China Mathematics，《中国科学：数学》，《数学年刊》，《数学物理学报》等. 2016年9月至2017年7月清华大学数学科学系国内访问学者；2017年11月至2018年11月日本东京大学Kavli数物连携宇宙研究所国家公派访问学者.

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联系方式

通讯地址：江苏省徐州市大学路1号中国矿业大学南湖校区数学学院   邮编：221116

电子邮箱： chengjp@cumt.edu.cn.

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教学与科研情况

 1、承担数学分析、高等数学、线性代数、概率论与数理统计等本科生课程，以及高等工程数学、微分流形、李代数等研究生课程；

2、2022.1-2025.12 主持国家自然科学基金面上项目；

3、毕业硕士9名，在读博士3名，在读硕士8名；

4、指导省级优秀硕士论文1篇，校级优秀硕士论文2篇.

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学术论文与专著

1.  Shen Wang, Wenchuang Guan, Jipeng Cheng, Tau functions of modified CKP hierarchy, accepted by Journal of Geometry and Physics (2024).

2. Wenchuang Guan, Shen Wang, Jipeng Cheng, Symmetries of large BKP hierarchy, accepted by Analysis and Mathematical Physics (2024)

3. Xuepu Mu, Mengyao Chen, Jipeng Cheng, Jingsong He, Solutions of generalized constrained discrete KP hierarchy, accepted by Theoretical and Mathematical Physics (2024).

4. Yue Liu, Xingjie Yan, Jinbiao Wang, Jipeng Cheng, Generalized bigraded Toda hierarchy, Journal of Mathematical Physics 65 (2024), Paper No. 103506.

5. Yi Yang, Wenjuan Rui, Jipeng Cheng, Bigraded modified Toda hierarchy and its extensions, Physica D: Nonlinear Phenomena 469 (2024) , Paper No. 134343, 20 pp.

6.  Xiaojuan Duan, Jipeng Cheng, Lax representation and Bäcklund-Darboux transformation for coupled BKP hierarchy, Journal of Mathematical Physics 65 (2024), no. 5, Paper No. 053504, 12 pp.

7. Yuanyuan Zhang, Jipeng Cheng, Shoufeng Shen and Juan Hu,  Modified bosonic integrable hierarchy, Journal of Geometry and Physics 201 (2024) 105199

 

8. Yi Yang, Jipeng Cheng, Bogoyavlensky-modified KdV hierarchy and toroidal Lie algebra sltor2. Letters in Mathematical Physics. 114 (2024), no. 2, Paper No. 50

 

9. Weici Guo, Mengyao Chen, Yi Yang and Jipeng Cheng, Darboux transformations of the modified BKP hierarchy by fermionic approach. Journal of Mathematical Physics 64 (2023), no. 10, Paper No. 103501, 15 pp.

 

10. Weici Guo, Wenchuang Guan, Shen Wang and Jipeng Cheng, Symmetries and bilinear equations for the modified BKP hierarchy. Science China Mathematics 66 (2023), no. 7, 1529–1544.

 

11. Jiaqi Song, Chong Li, Jipeng Cheng and Minru Chen, Constrained discrete KP hierarchy: Constraint on tau functions and gauge transformations. Theoretical and Mathematical Physics 214 (2023), no. 3, 334–353.

 

12. Yanqiang Wu and Jipeng Cheng, A new generalized constrained modified KP hierarchy. Mathematical Methods in the Applied Sciences 46 (2023), no. 4, 3510–3521.

 

13. 程纪鹏，Sato理论与无限维李代数，中国矿业大学出版社，徐州，2022

 

14. Wenjuan Rui and Jipeng Cheng, Nonlocal integrable equations from the mKP hierarchy. Analysis and Mathematical Physics (2022) 12:134.

 

15. Shen Wang, Wenchuang Guan, Weici Guo and Jipeng Cheng, Squared eigenfunction symmetries of the constrained integrable hierarchies, International Journal of Modern Physics A 37 (2022), no. 13, Paper No. 2250076, 15 pp.

 

16. Zhaowen Yan and Jipeng Cheng, Several integrable properties of the discrete KP hierarchy obtained by means of gauge transformations, Reports on Mathematical Physics, 89 (2022) 371-389.

 

17. Wenchuang Guan, Shen Wang, Weici Guo and Jipeng Cheng, Modified DKP hierarchy as modified BKP hierarchy, Journal of Mathematical Physics 63 (2022), no. 5, Paper No. 053502, 12 pp. 

 

18. Huizhan Chen, Jipeng Cheng and Zhiwei Wu, Miura and Darboux transformations in the SUSY KP hierarchies, Nuclear Physics B 978 (2022) 115748. 

 

19. Baiyi Li, Jixiong Zhang, Jipeng Cheng, Hao Yan and Hengfeng Liu, An analytical solution to periodical heat transfer problems of multilayer rocks for thermal energy storage in underground mines, Journal of Energy Storage 50 (2022) 104320.

 

20. Yi Yang and Jipeng Cheng, Bilinear equations in Darboux transformations by Boson- Fermion correspondence, Physica D: Nonlinear Phenomena 433 (2022)，Paper No. 133198.

 

21. Huizhan Chen, Jipeng Cheng and Zhiwei Wu, Super modified KP hierarchy in Kac-van de Leur construction,  Journal of Mathematical Physics 63 (2022)，Paper No. 033501, 20 pp.

 

22. Jipeng Cheng, BKP hierarchy and modified BKP hierarchy, in Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 3, Contributions from China, ed. by Norbert Euler and Da-jun Zhang, CRC Press, Taylor & Francis Group, 2022, Chapter A1, pp 1-28.

 

23. Jipeng Cheng and Todor Milanov, The 2-component BKP Grassmannian and simple singularities of Type D, International Mathematics Research Notices 2021 (2021) 17875–17923.

 

24. Yi Yang, Lumin Geng and Jipeng Cheng, CKP hierarchy and free bosons, Journal of Mathematical Physics, 62 (2021), no. 8, Paper No. 083506, 21 pp.

 

25. Jipeng Cheng and Todor Milanov, Hirota quadratic equations for the Gromov-Witten invariants of Pn−2,2,21, Advances in Mathematics, 388 (2021), Paper No. 107860, 43 pp.

 

26. Siqi Jian and Jipeng Cheng, The Miura links of the symmetries in the q-deformed case, Journal of Nonlinear Mathematical Physics 28  (2021) 53-67.

 

27. Jipeng Cheng and Todor Milanov, The extended D-Toda hierarchy, Selecta Mathematica-New Series, 27 (2021) 24,  85 pages.

 

28. Liqiang Cai and Jipeng Cheng, Reciprocal transformations of Harry-Dym hierarchy, Applied Mathematics Letters 112 (2021) 106821.

 

29. Yi Yang, Xiaoli Wang and Jipeng Cheng, Some results of the BKP hierarchy as the Kupershmidt reduction of the modified KP hierarchy, Modern Physics Letters B 34 (2020) 2050433.

 

30. Huizhan Chen, Lumin Geng, Na Li and Jipeng Cheng, The gauge transformations of the constrained q-deformed modified KP hierarchy and their relations with the additional symmetries. Analysis and Mathematical Physics 10 (2020) 79.

 

31. Yi Yang and Jipeng Cheng, The gauge transformations generated by the wave functions in the constrained modified KP hierarchy, Modern Physics Letters B 34(2020) 2050205.

 

32. 程纪鹏、贺劲松，约束离散KP方程族的完全Virasoro对称，数学年刊，41 (2020) 17-38.

 

33. 耿露敏、陈慧展、李娜、程纪鹏，KP和mKP可积系列的平方本征对称和Miura变换，数学物理学报，40 (2020) 10-19.

 

34. Huizhan Chen，Lumin Geng and Jipeng Cheng, Solutions of constrained mKP hierarchy by Boson-Ferminon correspondence, Journal of Nonlinear Mathematical Physics 27 (2020) 308-323.

 

35. Huizhan Chen, Lumin Geng and Jipeng Cheng, Sato–Bäcklund transformations and string equations of the mKP hierarchy, International Journal of Modern Physics A, 34 (2019), 1950142.

 

36. Huizhan Chen, Lumin Geng and Jipeng Cheng, The reduction of the Wronskian solutions from the modified KP hierarchy to its constrained case, Romanian Journal of Physics 64 (2019) 109.

 

37. 王晓翊，程纪鹏，李红云，修正离散KP系列的流方程, 数学物理学报, 39 (2019) 386-392.

 

38. Lumin Geng, Huizhan Chen, Na Li and Jipeng Cheng, Bilinear identities and squared eigenfunctions symmetries of the BCr-KP hierarchy, Journal of Nonlinear Mathematical Physics 26 (2019) 404-419.

 

39. Huizhan Chen, Lumin Geng, Na Li and Jipeng Cheng, Bilinear identities for the constrained modified KP hierarchy, Journal of Nonlinear Mathematical Physics 26 (2019) 240-254.

 

40. Chuanzhong Li and Jipeng Cheng, Quantum torus symmetries of multicomponent modified KP hierarchy and reductions, Journal of Geometry and Physics 137 (2019) 76-86.

 

41. Lumin Geng, Huizhan Chen, Na Li and Jipeng Cheng, Gauge transformation for the BCr-KP hierarchy and its compatibility with the additional symmetry, Communications in Theoretical Physics 71 (2019) 274-280.

 

42. Jipeng Cheng and Jingsong He, Miura and auto-Backlund transformations for the discrete KP and mKP hierarchies and their constrained cases, Communications in Nonlinear Science and Numerical Simulation 69 (2019) 187–197.

 

43. Huizhan Chen, Lumin Geng, Na Li and Jipeng Cheng, Solving the constrained modified KP hierarchy by gauge transformations, Journal of Nonlinear Mathematical Physics 26 (2019) 54–68.

 

44. Jipeng Cheng, Maohua Li and Kelei Tian, On the modified KP hierarchy: tau functions, squared eigenfunction symmetries and additional symmetries, Journal of Geometry and Physics 134 (2018) 19-37.

 

45. Siqi Jian and Jipeng Cheng, The squared eigenfunction symmetries of the discrete KP and modified discrete KP hierarchies under the Miura transformations, Modern Physics Letters B 32 (2018) 1850326.

 

46. Na Li and Jipeng Cheng, The successive applications of two types of gauge transformations for the q-deformed modified Kadomtsev -Petviashvili hierarchy.  Zeitschrift fur Naturforschung A 73 (2018) 345-356.

 

47. Lumin Geng, Huizhan Chen, Na Li and Jipeng Cheng. The gauge transformations of the constrained q-deformed KP hierarchy. Modern Physics Letters B 32 (2018) 1850176.

 

48. Jipeng Cheng, The gauge transformation of the modified KP hierarchy, Journal of Nonlinear Mathematical Physics 25 (2018) 66-85.

 

49. 杨金云，程纪鹏. 离散KP可积系列规范变换的协调性，徐州工程学院学报（自然科学版）32 (2017) 35-38.

 

50. Jipeng Cheng. Miura and auto-Backlund transformations for the q-deformed KP and q-deformed modified KP hierarchies. Journal of Nonlinear Mathematical Physics 24 (2017) 7–19 (SCI).

 

51. Maohua Li, Jipeng Cheng and Jingsong He, The Successive Application of the Gauge Transformation for the Modified Semi discrete KP Hierarchy, Zeitschrift für Naturforschung A 71 (2016) 1093-1098.

 

52. Chuanzhong Li, Jipeng Cheng, Kelei Tian, Maohua Li and Jingsong He, Ghost symmetry of the discrete KP hierarchy. Monatshefte für Mathematik 180 (2016) 815-832.

 

53. Jipeng Cheng and Jingsong He, The integral type gauge transformation and the additional symmetry for the constrained KP hierarchy. Acta Mathematica Scientia B 35(2015) 1111 –1121 

 

54. Maohua Li, Jipeng Cheng and Jingsong He, The compatibility of additional symmetry and gauge transformations for the constrained discrete Kadomtsev-Petviashvili hierarchy, Journal of Nonlinear Mathematical Physics 22 (2015) 17-31.

 

55. Jipeng Cheng, Jinzheng Wang and Xingyong Zhang, The gauge transformation of the q- deformed modified KP hierarchy, Journal of Nonlinear Mathematical Physics 21 (2014) 533-542 .

 

56. Jipeng Cheng and Jingsong He, The “ghost" symmetry in the CKP hierarchy, Journal of Geometry and Physics 80 (2014) 49-57.

 

57. Jipeng Cheng and Jingsong He, The applications of the gauge transformation for the BKP hierarchy, Journal of Mathematical Analysis and Applications 410 (2014) 989–1001.

 

58. Jipeng Cheng, Maohua Li and Jingsong He, The Virasoro action on the tau function for the constrained discrete KP hierarchy, Journal of Nonlinear Mathematical Physics 20 (2013) 529-538.

 

59. Maohua Li, Jipeng Cheng and Jingsong He, The gauge transformation of the constrained semi-discrete KP hierarchy, Modern Physics Letters B 27 (2013) 1350043.

 

60. Jipeng Cheng and Jingsong He, The squared eigenfunction symmetries for the BTL and CTL hierarchies, Communications in Theoretical Physics 59 (2013) 131–136.

 

61. 李茂华、程纪鹏、李传忠、贺劲松，BKP与CKP可积系列的递归算子，中国科学：数学， 43 (2013) 499-514.

 

62. Jipeng Cheng, Ye Tian, Zhaowen Yan and Jingsong He, The generalized additional symmetries of the two-Toda lattice hierarchy, Journal of Mathematical Physics 54 (2013) 023513 .

 

63. Jipeng Cheng and Jingsong He, On the squared eigenfunction symmetry of the Toda lattice hierarchy, Journal of Mathematical Physics 54 (2013) 023511.

 

64. Jipeng Cheng, Kelei Tian and Jingsong He, The additional symmetries for the BTL and CTL hierarchies, Journal of Mathematical Physics 52 (2011) 053515.

 

65. Jipeng Cheng, Lihong Wang and Jingsong He, Recursion operators for KP, mKP and Harry-Dym Hierarchies, Journal of Nonlinear Mathematical Physics 18 (2011) 161-178.

 

66. Jipeng Cheng, Jingsong He and Lihong Wang, A general formula of the flow equations for the Harry-Dym hierarchy. Communications in Theoretical Physics 155 (2011) 193-198.

 

67. Kelei Tian, Jingsong He, Jipeng Cheng and Yi Cheng. Additional symmetries of constrained CKP and BKP hierarchies, Science China Mathematics 54 (2011) 257-268.

 

68. Jipeng Cheng, Shikun Wang, Ke Wu and Weizhong Zhao, Fermionic covariant prolongation structure theory for supernonlinear evolution equation, Journal of Mathematical Physics 51 (2010) 093501.

 

69. Jipeng Cheng, Jingsong He and Sen Hu, The “ghost” symmetry of the BKP hierarchy. Journal of Mathematical Physics 51 (2010) 053514.