College Introduction

The Institute for Advanced Study (IAS) has been established at Shenzhen University to provide both undergraduate and postgraduate education, focusing on interdisciplinary teaching and research. As a special platform at Shenzhen University, IAS seeks to

Postgraduate Course

Jingsong He

PhD, Professor

Email:  hejingsong@szu.edu.cn

Phone(Office):0755-86670390

Address:Room 501B, Institute for Advanced Study, South Campus, Shenzhen Univ.3688 Avenue Nanhai, Nanshan District, Shenzhen, Guangdong ,518060, P. R. China

 

Educational Experiences:  

1999, PhD, Department of Mathematics, University of Science and Technology of China

1994, Master, Department of Physics, Sichuan Normal University.

1991, Bachelor, Department of Physics, Sichuan Normal University.

 

Professional Experiences:

2018.11—Present,Institute for Advanced Study,Professor.

2009.01—2018.10,Department of Mathematics, Ningbo University,Professor.

1999.07—2008.12, Department of Mathematics, USTC, Lectuer & Associate Professor.

1994.07—1996.08, Department of Physics, Chongqing Technology and Business University, Lectuer.

 

Research Interests:

The integrable nonlinear partial differential equations: theory and applications

1.Algebraic structures of integrable PDEs including additional symmetries of KP, supersymmetric KP,q-deformed KP,discrete-KP hierarchies.

2.Soliton surfaces of integrable PDEs.

3.Solutions of integrable PDEs: solving, properties and applications.

 

Scientific Grants from National Natural Science Foundation of China.

1.The integrability of non-commutative system, no. 10301030, 80K Yuan,2004-2006, PI.

2.Quantum calculus and associated integrable system, no. 10671187,250K Yuan, 2007-2009,PI.

3.The symmetry constraint of the KP hierarchy and  matrix integration, no.10971109, 240K Yuan, 2010-2012,PI.

4.Rogue wave solutions of the nonlinear Schrodinger type equations. no.11271210, 680K Yuan, 2013-2016, PI.

5.The integrable synthesis of the multidimensional systems, no.11671219, 480K Yuan, 2017-2020, PI.

 

Selected publications:

62. J Rao, J He, D Mihalache, Y Cheng.  PT-symmetric nonlocal Davey–Stewartson I equation: General lump-soliton solutions on a background of periodic line waves. Applied Mathematics Letters 104(2020), 106246.

61. J. Rao, Y Cheng, K Porsezian, D Mihalache, J He.  PT-symmetric nonlocal Davey–Stewartson I equation: Soliton solutions with nonzero background.Physica D: Nonlinear Phenomena 401(2020), 132180(28pp) .

60. L Guo, L Wang, Y Cheng, J He.  Higher-order rogue waves and modulation instability of the two-component derivative nonlinear Schrodinger equation. Communications in Nonlinear Science and Numerical Simulation 79(2019), 104915(20pp).

59. Y Zhang, J Rao, Y Cheng, J He.  Riemann–Hilbert method for the Wadati–Konno–Ichikawa equation: N simple poles and one higher-order pole. Physica D: Nonlinear Phenomena 399(2019), 173-185.

58. J Rao, D Mihalache, Y Cheng, J He.Lump-soliton solutions to the Fokas system. Physics Letters A 383 (2019), 1138-1142.

57. Yongshuai Zhang, Deqin Qiu, Dumitru Mihalache,  Jingsong He,   The loop rogue wave solutions for the Wadati-Konno-Ichikawa equation, Chaos 28(2018) , 103108.

56. Jiguang Rao, Yongshuai Zhang, Athanassios S Fokas, Jingsong He,  Rogue waves of the nonlocal Davey-Stewartson I equation,  Nonlinearity 31 (2018) 4090-4107.

55. Shuwei Xu, Jingsong He b, K. Porsezian,  Double degeneration on second-order breather solutions of Maxwell–Bloch equation,  Wave Motion 80 (2018), 82-90.

54. Jiguang Rao, Kuppuswamy Porsezian, Jingsong He,  Thambithurai Kanna, Dynamics of lumps and  dark-dark solitons in the multi-component long-wave-short-wave resonance interaction system,  Proc. R. Soc. A 474(2018), 20170627,20 pages.

53. Jiguang Rao, Yi Cheng, Jingsong He,  Rational and Semirational Solutions of the Nonlocal Davey-Stewartson Equations, Studies in Applied Mathematics 139(2017), 568-598.

52. Jiguang Rao, Kuppuswamy Porsezian, and Jingsong He, Semi-rational solutions of the third-type Davey-Stewartson equation, Chaos 27, 083115 (2017), 15pp.

51. Qiuxia Xing, Lihong Wang, Dumitru Mihalache, Kuppuswamy Porsezian, and Jingsong He,  Construction of rational solutions of the real modified Korteweg-de Vries equation from its periodic solutions,   Chaos 27(2017) 053102, 14 pp.

50. Lihong Wang,  Jingsong He, Hui Xu, Ji Wang, and Kuppuswamy Porsezian, Generation of higher-order rogue waves from multibreathers by double degeneracy in an optical fiber,  Phys. Rev. E 95, 042217 (2017), 26pp.

49. Yongshuai Zhang, Yi Cheng,  Jingsong He,  Riemann-Hilbert method and N-soliton for twocomponent Gerdjikov-Ivanov equation,  Journal of Nonlinear Mathematical Physics 24(2017), 210-223.

48. Lihong Wang Chenghao Yang, Ji Wang, Jingsong He, The height of an nth-order fundamental rogue wave for the nonlinear Schrodinger equation, Physics Letters A 381 (2017) 1714-1718

47. .Feng Yuan,  Deqin Qiu, Wei Liu, K. Porsezian, Jingsong He,  On the evolution  of  a rogue wave along the orthogonal  direction of the ($t,x$)-plane, Commun. Nonlinear Sci. Numer. Simulat. 44(2017), 445-457.

46. Jingsong He, Shuwei Xu, K. Porsezian, Yi Cheng, and P. Tchofo Dinda, Rogue wave triggered at a critical frequency  of a nonlinear resonant medium, Phys. Rev. E 93 (2016), 062201, 6 pages.

45. Zhiwei Wu, Jingsong He, New hierarchies of derivative nonlinear Schrodinger-type equation,  Romanian Reports in Physics 68(2016), 79–98.

44. Deqin Qiu, Jingsong He,Yongshuai Zhang,  K. Porsezian,  The Darboux transformation of the Kundu-Eckhaus equation,  Proc.R.Soc.A471 (2015), 20150236, 20 pages.

43. Chuanzhong Li, Jingsong He, Supersymmetric BKP systems and their symmetries, Nuclear Physics B 896(2015), 716-737.

42. Y. S. Zhang, L. J. Guo, J. S. He, Z. X. Zhou, Darboux transformation of the second-type derivative nonlinear Schrodinger equation, Lett. Math. Phys. 105(2015), 853-891.

41. Shuwei Xu, Jingsong He, Yi Cheng and  K. Porseizan,  The n-order rogue waves of Fokas-Lenells equation,  Mathematical Methods in the Applied Sciences 38(2015), 1106-1126.

40. Jingsong He,Shuwei Xu, Yi Cheng, The rational solutions of the mixed nolinear Schrodinger equation, AIP Advances 5(2015), 017105.

39. Chuanzhong Li, Jingsong He,  Quantum Torus Symmetry of the KP, KdV and BKP Hierarchies, Lett. Math. Phys. 104 (2014), 1407-1423.

38. Jingsong He, Lijuan Guo, Yongshuai Zhang and Amin Chabchoub, Theoretical and experimental evidence of  non-symmetric doubly localized rogue waves, Proc. R. Soc. A 470(2014), 20140318.

37. Jingsong He, Lihong Wang, Linjing Li, K.Porsezian, R.Erdelyi,  Few-cycle optical rogue waves: complex modified Korteweg-de Vries equation, Phys.Rev. E.89(2014), 062917.  19pp.

36. JIPENG CHENG, JINGSONG HE,  The "ghost" symmetry in the CKP hierarchy, Journal of Geometry and Physics 80 (2014), 49-57.

35. Jipeng Cheng, Jingsong He, The applications of the gauge transformation for the BKP hierarchy, J.Math.Anal.Appl.410(2014),989-1001.

34. Shuwei Xu, K. Porsezian, Jingsong He, Yi Cheng,  Circularly polarized few cycle optical rogue waves: Rotating reduced Maxwell-Bloch equations, Phys.Rev. E 88(2013), 062925, 16 pp

33. ChuanZhong Li, Jingsong He, Block algebra in two-component BKP and D type Drinfeld-Sokolov hierarchies, J.Math.Phys. 54(2013), 113501, 14pp.

32. J.S. HE, Y.S. TAO, K. PORSEZIAN, A.S.FOKAS,  Rogue wave management in an inhomogeneous nonlinear Fibre with higher order effects, Journal of Nonlinear Mathematical Physics 20(2013),no.3, 407-419.

31. L. H. Wang, K. Porsezian, J. S. He, Breather and rogue wave solutions of a generalized nonlinear  Schrodinger equation, Phys.Rev.E 87(2013),053202,10pp.

30. J. S. He, H. R. Zhang, L. H. Wang, K. Porsezian, A. S. Fokas,  Generating mechanism for higher order rogue waves, Phys.Rev.E 87, 052914 (2013), 10pp.

29. Linjing Li, Zhiwei Wu, Lihong Wang, Jingsong He, High-order rogue waves for the Hirota equation, Annals of Physics 334 (2013),198-211.

28. Maohua Li, Chuanzhong Li, Kelei Tian, Jingsong He, Yi Cheng, Virasoro type algebraic structure hidden in the constrained discrete Kadomtsev-Petviashvili hierarchy,

J.Math.Phys. 54(2013), 043512(11pp).

27. Jipeng Cheng, Ye Tian, Zhaowen Yan, Jingsong He, The generalized additional symmetries of the two-Toda lattice hierarchy,  J.Math.Phys. 54(2013), 023513(18pp).

26. Jipeng Cheng, Jingsong He, On the squared eigenfunction symmetry

of the Toda lattice hierarchy, J.Math.Phys. 54(2013), 023511(14pp).

25. Chuanzhong Li, Jingsong He, K. Porsezian,  Rogue waves of the Hirota and the Maxwell-Bloch  equations, Phys.Rev. E 87, 012913 (2013), 13pp.

24. Jingsong He, Shuwei Xu, K. Porseizan, N-order bright and dark rogue waves in a resonant erbium-doped  fiber system, Phys.Rev.E 86(2012), 066603, 17pp.

23. Shuwei Xu, Jingsong He, The Rogue Wave and breather solution of the Gerdjikov-Ivanov equation. J. Math. Phys. 53(2012), 063507, 17 pages.

22. Jing Yu, Jingsong He, Jingwei Han,Two kinds of new integrable decompositions

of the Gerdjikov-Ivanov equation, J.Math.Phys. 53(2012),033510(13pp)

21. Yongsheng Tao, Jingsong He, Multisolitons, breathers, and rogue waves for the Hirota  equation generated by the Darboux transformation,  Phys.Rev.E85 (2012), 026601, 7pp.

20. Chuanzhong Li,Jingsong He, Yucai Su, Block type symmetry of bigraded Toda hierarchy,  J.Math.Phys.53(2012),013517, 25pp.

19. Shuwei Xu,Jingsong He, Lihong Wang, The Darboux transformation of  the derivative  nonlinear Schrodinger equation,  Journal of Physics A 44(2011), 305203(22pp).

18. Jipeng Cheng, Kelei Tian, Jingsong He,  The additional symmetries for the BTL and CTL hierarchies, J. Math.Phys.52(2011),053515(11pp).

17. Kelei Tian,Jingsong He, Jipeng Cheng, Yi Cheng, Additional symmetries of constrained CKP and BKP hierarchies, SCIENCE CHINA Mathematics 54(2011), No.2, 257-268

16. Jingsong He,Junyi Tu, Xiaodong Li, Lihong Wang,  Explicit Flow Equations and Recursion  Operator of the ncKP hierarchy,  Nonlinearity 24(2011)2875-2890

15. He Jingsong, Li Yishen,  Designable integrability of the variable coefficient nonlinear Schrodinger equation, Studies in  applied mathematics, 126(2011), no. 1, 1-15.

14. Jing Yu, Jingsong He,Yi Cheng,Jinwei Han, A Novel Symmetry Constraint Of The Super cKdV  System, J.Phys.A.43(2010),445201(12pp)

13. .Jipeng Cheng,Jingsong He, Sen Hu, The ``Ghost" Symmetry of the BKP hierarchy,

J.Math.Phys 51(2010),053514,19 pp.

12. Chuanzhong Li, Jingsong He, Ke Wu, Yi Cheng,Tau function and  Hirota bilinear equations for the Extended  bigraded Toda Hierarchy, J. Math. Phys. 51(2010),

043514, 32pp.

11.  B Yu J., Han J. W., He J. S. Binary nonlinearization of the super AKNS system under an implicit symmetry constraint.  J. Phys. A 42(2009),465201(10pp).

10. Wenxiu Ma, Jingsong He, Zhenyun Qin, A supertrace identity and its applications to superintegrable systems, J. Math. Phys. 49(2008), 033511 , 13 pages

9.Jingsong He, Zhiwei Wu, Yi Cheng. .Gauge transformations for the constrained CKP and BKP hierarchies.  J. Math. Phys. 48(2007), 113519, 16pages

8. Jingsong He, Kelei Tian, Angela Forester and WEN-XIU Ma. Additional Symmetries and String Equation of the CKP Hierarchy, Lett. Math. Phys. 81(2007), 119–134.

7.M.T. Batchelor, X-W Guan, Jingsong He.  The Bethe ansatz for 1D interacting anyons, J.Stat.Mech.(2007),P03007,1-20.

6. Jingsong He, Zhang ling, Cheng yi, Li Yishen. Determinant representation of Darboux transformation for the AKNS system, Science in China Series A:Mathematics 49(2006), no.12,1867-1878

5. Jingsong HE, Yinghua LI and Yi CHENG, q-Deformed KP Hierarchy and q-Deformed Constrained KP Hierarchy, , SIGMA,Vol.2(2006),Paper 060,32pages.

4.Zhengzhong, He Jingsong, Cheng Yi. Backlund Transformation of the

Non-commutative Gelfand-Dickey Hierarchy. Journal of High Energy Physics, 02(2004)069, 1-10.

3. He Jingsong, Cheng Yi, Li Yishen.  Two choices of the gauge transformation for the AKNS hierarchy through the constrained KP hierarchy. J.Math.Phys, vol.44(2003), No.9, 3928--3960.

2. He Jingsong, Li Yishen, Cheng Yi. The determinant representation of the gauge transformation operators. Chinese Annals of Mathematics. 23B, No.4 (2002), 475--486.

1. Jingsong He*, Yi Cheng.  The KW theorem for the Supersymmetric KP hierarchy.Phys. Lett. B, Vol.449 (1999), 194--200.