Cheng Jipeng

Doctor

Personal Information

E-Mail:

VIEW MORE

Other Contact Information


Profile

Jipeng Cheng, Associate Professor in China University of Mining and Technology. 

Research interest: Mathematical Physics and integrable system, inculding KP and Toda hierarchies, and Kac-Wakimoto construction

Adress: School of Mathematics,  China Unversity of Mining and Technology, No. 1 Daxue Road, Xuzhou, Jiangsu, 221116, China, 

Email:  chengjp@cumt.edu.cn.

Publication list:

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. Jipeng Cheng and Jingsong He, The full Virasoro symmetry for the constrained discrete KP hierarchy (Chinese),  Chinese Annals of Mathematics. Series A, 41 (2020), no. 1, 17–38.

12. Lumin Geng, Huizhan Chen, Na Li and Jipeng Cheng, The squared eigenfunction symmetries and miura transformations for the KP and mKP hierarchies (Chinese), Acta Mathematica Scientia. Series A (Chinese Edition),  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. Xiaoyi Wang, Jipeng Cheng and Hongyun Li,The flow equations of the modified discrete KP hierarchy (Chinese) . Acta Mathematica Scientia. Series A (Chinese Edition) , 39 (2019), no. 2, 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. Jinyun Yang and Jipeng Cheng, The compatibility of the gauge transformation for the discrete KP hierarchy (Chinese),  Journal of Xuzhou Institute of Technology (Natrual Science Edition), 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 .

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. Maohua Li, Jipeng Cheng, Chuanzhong Li and Jingsong He, The recursion operators of the BKP hierarchy and the CKP hierarchy (Chinese), Scientia Sinica Mathematica (Chinese Edition),  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.





2001.9  to  2005.7
山东师范大学 
 数学与应用数学 
 本科毕业 
 学士

2005.9  to  2008.6
首都师范大学 
 应用数学 
 研究生毕业 
 硕士

2008.9  to  2011.5
中国科技大学 
 数学物理 
 研究生毕业 
 Doctor

No content

No content

No content