学院简介

    深圳大学高等研究院是深圳大学新成立的一个包含本科与研究生培养、侧重跨学科教学与研究的校内综合办学单位。作为深圳大学内部探索全面改革创新的学术特区,高等研究院与香港和海外著名高校合作,借鉴国外研究型大学通行的管理模式,引进具有一流视野的资深教授和发展潜力的青年教师,营造与国际接轨的学术氛围和培养环境,开展卓越的教学、研究和管理工作。 ······

本科生课程

贺劲松

博士,教授(教育部新世纪人才)

联系邮箱:  hejingsong@szu.edu.cn

办公电话:0755-86670390

通讯地址:深圳大学南区高等研究院大楼( 致知楼)501B

 

教育背景:

1999,中国科学技术大学,理学(应用数学),博士

1994,四川师范大学,教育学(物理),硕士

1991,四川师范大学,理学(物理),学士

 

工作经历:

2018.11—至今,     深圳大学高等研究院,教授

2009.01—2018.10,宁波大学数学系,教授

1999.07—2008.12,中国科学技术大学数学系,讲师,副教授

1994.07—1996.08,重庆工商大学物理系,讲师

 

研究兴趣:

非线性可积偏微分方程的理论及其应用

1.可积方程的对称代数结构,如KP,超对称KP,q-KP,离散KP系列的附加对称

2.可积方程对应的孤立子曲面, 如NLS或MKdV的孤立子曲面

3.可积方程各种类型解的求解、性质和应用, 如孤立子,呼吸子,怪波等

 

科研项目:

1. 国家自然科学基金青年基金项目,10301030, 非交换系统的可积性,8万元,2004-01至2006-12已结题, 主持。

2. 国家自然科学基金面上项目,10671187, 量子微积分及其相关可积系统,25万元,2007-01至2009-12,已结题,主持。

3. 教育部新世纪优秀人才支持计划,NCET-08-0515,非线性可积系统中的若干数学问题及其应用,50万元,2009-01至2011-12已结题,主持。

4. 国家科学基金面上项目,10971109, KP系列的对称约束与矩阵积分,24万元,2010-01至2012-12,已结题,主持。

5. 国家自然科学基金天元基金项目,11126001,全国可积系统与微分几何暑期学校,8万元,2011-01至2011-12,已结题,主持。

6. 国家自然科学基金面上项目,11271210,非线性薛定谔型方程的怪波解, 68万元,2013-01至2016-12, 已结题,主持。

7. 国家自然科学基金面上项目,11671219,多维系统的可积合成, 48万元,2017-01至2020-12,在研,主持。

 

部分发表论文:

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.