一、个人简介
程纪鹏,男,山东临沂人,博士;williamhill威廉希尔官网理学院英国威廉希尔唯一官网副教授,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KP、Toda以及Kac -Wakimoto等相关可积系统. 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.
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;
2、2016年荣获williamhill威廉希尔官网第十九届青年教师讲课比赛优秀奖;
3、指导硕士研究生3名.
三、科研项目
1、2011.9-2013.12 主持校基本科研业务费项目科研人才基金;
2、2011.9-2013.9主持启航计划;
3、2012.1-2014.12 主持校基本科研业务费项目青年基金A类;
4、2013.1-2013.12 主持国家自然科学基金数学天元基金;
5、2014.1-2016.12 主持国家自然科学基金青年基金;
6、2015.1-2017.12 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
1、Jipeng Cheng, Jingsong He and Sen Hu. The ``ghost'' symmetry of the BKP hierarchy.Journal of Mathematical Physics 51 (2010) 053514 (SCI);
2、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(SCI) ;
3、Kelei Tian, Jingsong He, Jipeng Cheng and Yi Cheng. Additional symmetries of constrained CKP and BKP hierarchies. Science China Mathematics 54 (2010) 257-268(SCI);
4、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(SCI);
5、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(SCI);
6、Jipeng 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. BKP与CKP可积系列的递归算子. 《中国科学: 数学》43 (2013) 499-514(中文核心);
8、Maohua Li, Jipeng Cheng and Jingsong He. The gauge transformation of the constrained semi -discrete KP hierarchy. Modern Physics Letters B 27 (2013) 1350043 (SCI);
9、Jipeng Cheng and Jingsong He. Squared eigenfunction symmetries for the BTL and CTL hierarchies. Communications in Theoretical Physics 59 (2013) 131-136 (SCI);
10、Jipeng Cheng and Jingsong He. On the squared eigenfunction symmetry of the Toda lattice hierarchy. Journal of Mathematical Physics 54 (2013) 023511(SCI);
11、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 (SCI);
12、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 (SCI);
13、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 (SCI);
14、Jipeng Cheng and Jingsong He. The ``ghost symmetry in the CKP hierarchy. Journal of Geometry and Physics 80 (2014) 49-57(SCI);
15、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 (SCI);
16、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(SCI);
17、Jipeng 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);
18、Chuanzhong 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);
19、Maohua 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);
20、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);
21、Jipeng Cheng. The gauge transformation of the modified KP hierarchy. Journal of Nonlinear Mathematical Physics 25 (2018) 66-85 (SCI);
22、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 (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williamhill威廉希尔官网南湖校区英国威廉希尔唯一官网邮编:221116
电子邮箱: chengjp@cumt.edu.cn. 微信好友添加,请扫二维码