程纪鹏

发布者:李莹发布时间:2017-02-18浏览次数:5461

一、个人简介

    程纪鹏,男,山东临沂人,博士;中国矿业大学理学院数学学院副教授,硕士生导师. 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和求是研究生奖。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. 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.

二、教学情况

1、承担高等数学、线性代数、概率论与数理统计等公共基础课教学任务;

22016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3.

三、科研项目

12011.9-2013.12 主持校基本科研业务费项目科研人才基金;

22011.9-2013.9主持启航计划;

32012.1-2014.12 主持校基本科研业务费项目青年基金A类;

42013.1-2013.12 主持国家自然科学基金数学天元基金;

52014.1-2016.12 主持国家自然科学基金青年基金;

62015.1-2017.12 主持校基本科研业务费项目青年基金A类;

7、另参与多项校级、省级、国家级科研项目.

四、学术论文

1Jipeng Cheng, Jingsong He and Sen Hu. The ``ghost'' symmetry of the BKP hierarchy.Journal of Mathematical Physics 51 (2010) 053514 (SCI);

2Jipeng Cheng, Shikun Wang, Ke Wu and Weizhong Zhao. Fermionic covariant prolongation structure theory for supernonlinear evolution equation. Journal of Mathematical Physics 51 (2010) 093501(SCI) ;

3Kelei Tian, Jingsong He, Jipeng Cheng and Yi Cheng. Additional symmetries of constrained CKP and BKP hierarchies. Science China Mathematics 54 (2010) 257-268(SCI);

4Jipeng 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(SCI);

5Jipeng Cheng, Lihong Wang and Jingsong He. Recursion operators for KP, mKP and Harry-Dym hierarchies. Journal of Nonlinear Mathematical Physics 18 (2011) 161-178(SCI);

6Jipeng Cheng, Kelei Tian and Jingsong He. The additional symmetries for the BTL and CTLhierarchies. Journal of Mathematical Physics 52 (2011) 053515(SCI);

7李茂华, 程纪鹏, 李传忠, 贺劲松. BKPCKP可积系列的递归算子. 中国科学: 数学43 (2013) 499-514中文核心;

8Maohua Li, Jipeng Cheng and Jingsong He. The gauge transformation of the constrained semi -discrete KP hierarchy. Modern Physics Letters B 27 (2013) 1350043 (SCI);

9Jipeng Cheng and Jingsong He. Squared eigenfunction symmetries for the BTL and CTL hierarchies. Communications in Theoretical Physics 59 (2013) 131-136 (SCI);

10Jipeng Cheng and Jingsong He. On the squared eigenfunction symmetry of the Toda lattice hierarchy. Journal of Mathematical Physics 54 (2013) 023511(SCI);

11Jipeng 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 (SCI);

12Jipeng 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 (SCI);

13Jipeng Cheng and Jingsong He. The applications of the gauge transformation for the BKP hierarchy. Journal of Mathematical Analysis and Applications 410 (2014) 989-1001 (SCI);

14Jipeng Cheng and Jingsong He. The ``ghost symmetry in the CKP hierarchy. Journal of Geometry and Physics 80 (2014) 49-57(SCI);

15Jipeng 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 (SCI);

16Maohua 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(SCI);

17Jipeng Cheng and Jingsong He. The integral type gauge transformation and the additional symmetry for the constrained KP hierarchy. Acta Mathematica Scientia 35 B (2015) 1111-1121(SCI);

18Chuanzhong Li, Jipeng Cheng, Kelei Tian, Maohua Li and Jingsong He. Ghost symmetry of the discrete KP hierarchy. Monatshefte fur Mathematik 180 (2016) 815-832 (SCI);

19Maohua Li, Jipeng Cheng and Jingsong He. The successive application of the gauge transformation for the modified semi-discrete KP hierarchy. Zeitschrift fur Naturforschung A, 71(2016) 1093-1098 (SCI);

20Jipeng 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);

21Jipeng Cheng. The gauge transformation of the modified KP hierarchy. Journal of Nonlinear Mathematical Physics 25 (2018) 66-85 (SCI);

22Na 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 (2018) (https://doi.org/10.1515/zna-2017-0433) (SCI).  

五、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. 微信好友添加,请扫二维码

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