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  • 程纪鹏 ( 副教授 )

    的个人主页 http://faculty.cumt.edu.cn/chengjp/zh_CN/index.htm

  •   副教授   硕士生导师
个人简介

   程纪鹏,男,山东临沂人,博士;中国矿业大学数学学院副教授,硕士生导师。2011年博士毕业于中国科学技术大学数学科学学院,荣获中科院院长优秀奖、求是研究生奖和中国矿业大学"科研育人"先进个人。研究方向:数学物理、可积系统,目前主要研究KPToda以及Kac -Wakimoto等相关可积系统,发表科研论文40余篇,包括Advances in Mathematics, Selecta Mathematica-New Series,International Mathematics Research Notices,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。20169月至20177月清华大学数学科学系国内访问学者;201711月至201811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

教学情况

 1、承担高等数学、线性代数、概率论与数理统计等本科生公共基础课,以及高等工程数学、微分流形等研究生课程

2、2016年荣获中国矿业大学第十九届青年教师讲课比赛优秀奖;

3、指导硕士研究生7名,其中毕业3名.

科研项目

1、2022.1-2025.12 主持国家自然科学基金面上项目;

2、2015.1-2017.12 主持校基本科研业务费项目青年基金A类;

3、2014.1-2016.12 主持国家自然科学基金青年基金;

4、2013.1-2013.12 主持国家自然科学基金数学天元基金;

5、2012.1-2014.12 主持校基本科研业务费项目青年基金A类;

6、2011.9-2013.12 主持校基本科研业务费项目科研人才基金;

7、2011.9-2013.9 主持启航计划.

学术论文

1. 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, 2021, Chapter A1, pp 1-28.

2. 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.

3. 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.

4. 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.

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

6. Yi Yang and Jipeng Cheng, Bilinear equations in Darboux transformations by Boson- Fermion correspondence, arXiv:2101.02520, 47 pages.

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

8. 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.

9. 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.

10. 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.

11. 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.

12. 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.

13. 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.

14. Jipeng Cheng and Todor Milanov, The 2-component BKP Grassmanian and simple singularities of Type D, International Mathematics Research Notices (2019) rnz 325.

15. 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

16. 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

17. 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.

18. 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.

19. 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.

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

21. 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.

22. 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.

23. 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.

24. 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.

25. 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.

26. 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.

27. 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.

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

29. 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.

30. 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).

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

32. 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.

33. 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 

34. 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.

35. 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 .

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

37. 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.

38. 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.

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

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

41. 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.

42. 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 .

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

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

45. 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.

46. 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.

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

48. 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.

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


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.


教育经历
  • [1]. 中国科技大学       博士研究生毕业
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