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贺劲松

博士,教授(教育部新世纪人才);深圳“鹏城孔雀计划”特聘岗位(B类)

hejingsong#szu.edu.cn

致知楼725室

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,环球360管理登录,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


社会服务:

Physica D编委(2021.11-2024.10).

https://www.sciencedirect.com/journal/physica-d-nonlinear-phenomena/about/editorial-board

Partial Differential Equations in Applied Mathematics ,  Special Content Editor  (2023.11--2024.10). 

https://www.sciencedirect.com/journal/partial-differential-equations-in-applied-mathematics/about/editorial-board

Studies in Applied Mathematics客座编委(2022.11-2024.01).


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,已结题,主持。

8.国家自然科学基金面上项目,12071304、二维可积方程的怪波,2021-01至2024-12,51万元,在研,主持。


部分发表论文:

87.Zhao Wang, Rui Ma, Jun Liu, Jing Song He, Wei Li Zhang, Non-invasive PSF recovery based on direct illumination from wavelength-dependent speckles, Appl. Phys. Lett. 122(2023), 171101.

86.Yulei Cao, Yi Cheng,Jingsong He, Resonant collisions of high-order localizedwaves in the Maccari system, J. Math. Phys. 64(2023), 043501.

85.Lijuan Guo, LihongWang, Lei Chen,Jingsong He, Dynamics of the rogue lump in the asymmetric Nizhnik–Novikov–Veselov system, Stud. Appl. Math. 2023, 1-25.

84.Xin Wang,Jingsong He, Darboux transformation and general soliton solutions for the reverse space–time nonlocal short pulse equation, Physica D 446 (2023), 133639.

83.Rao JG, He JS, Malomed BA. Resonant collisions between lumps and periodic solitons in the Kadomtsev-Petviashvili I equation, JOURNAL OF MATHEMATICAL PHYSICS 63(2022), 013510.

82.Rao JG, Kanna T, Mihalache D, He JS. Resonant collision of lumps with homoclinic orbits in the two-dimensional multi-component long-wave-short-wave resonance interaction systems, PHYSICA D-NONLINEAR PHENOMENA 439(2022), 133281.

81.Rao JG, Kanna T, He JS. A study on resonant collision in the two-dimensional multi-component long-wave-short-wave resonance system, PROCEEDI8NGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 478(2022), 0210777.

80.Guo L J , Chen L, Mihalache D,He JS. Dynamics of soliton interaction solutions of the Davey-Stewartson I equation, PHYSICAL REVIEW E 105(2022), 014218.

79.Wang LH, He JS, Erdelyi R. Rational solutions of multi-component nonlinear Schrodinger equation and complex modified KdV equation, MATHEMATICAL METHODS IN THE APPLIED SCIENCES 45(2022),5086-5110.

78.Rao JG, He JS,Cheng Y . The Davey-Stewartson I equation: doubly localized two-dimensional rogue lumps on the background of homoclinic orbits or constant, LETTERS IN MATHEMATICAL PHYSICS 112(2022), 75.

77.Wang JL , He JS. The distortion of the Peregrine soliton under the perturbation in initial condition, PHYSICS LETTERS A 452(2022), 128432.

76.Zhang YS, Wang N, Qiu DQ ,He JS. Explicit solitons of Kundu equation derived by Riemann-Hilbert problem, PHYSICS LETTERS A 452(2022), 128476.

75. Rao JG, Malomed BA, Mihalache D, He JS. General higher-order breathers and rogue waves in the two-component long-wave-short-wave resonance interaction model, Stud Appl Math. 149(2022), 843–878.

74.Lijuan Guo, P G Kevrekidis,Jingsong He,Asymptotic dynamics of higher-order lumps in the Davey–Stewartson II equation,J. Phys. A: Math. Theor. 55 (2022) , 475701 .

73.Lijuan Guo, Amin Chabchoub,Jingsong He,Higher-order rogue wave solutions to the Kadomtsev-Petviashvili 1 equation, Physica D 426 (2021) 132990.

72.Jiguang Rao, Athanassios S. Fokas ,Jingsong He, Doubly Localized Two-Dimensional Rogue Waves in the Davey-Stewartson I Equation, Journal of Nonlinear Science 31(2021) 67, 44pages.

71.Jiguang Rao, Kwok Wing Chow, Dumitru Mihalache,Jingsong He, Completely resonant collision of lumps and line solitons in the Kadomtsev-Petviashvili I equation, Stud Appl Math. 147(2021), 1007-1035.

70.Yulei Cao, Yi Cheng, Boris A.Malomed,Jingsong He, Rogue waves and lumps on the nonzero background in the PT-symmetric nonlocal Maccari system, Stud Appl Math. 147(2021), 694-723.

69.Jiguang Rao, T. Kanna, K. Sakkaravarthi,Jingsong He, Multiple double-pole bright-bright and bright-dark solitons and energy-exchanging collision in the M-component nonlinear Schrodinger equations, Phys. Rev. E103(2021), 062214.

68.Jingsong He, YUFENG SONG, C. G. L. TIOFACK, AND M. TAKI,Rogue wave light bullets of the three-dimensional inhomogeneous nonlinear Schrodinger equation, Photonics Research 9(2021), 643-648.

67.Lijuan Guo,Jingsong He, and Dumitru Mihalache,Rational and semi-rational solutions to the asymmetric Nizhnik–Novikov–Veselov system, J. Phys. A Math. Theor. 54 (2021) 095703(22pp)

66.Jiguang Rao,Jingsong He, Dumitru Mihalache, Yi Cheng,Dynamics of lump–soliton solutions to the PT-symmetric nonlocal Fokas system,Wave Motion 101 (2021) 102685.

65.Guofei Zhang, JingsongHe, Lihong Wang, Dumitru Mihalache,Surfaces of revolution associated with the kink-type solutions of the SIdV equation,Differential Geometry and its Applications74(2021)101711.

64.Yongshuai Zhang, Xiangxing Tao, Tengteng Yao,Jingsong He. The regularity of the multiple higher-order poles solitons of the NLS equation. Stud Appl Math. 145(2020), 812-827.

63.Lijuan Guo,Jingsong He, Lihong Wang, Yi Cheng,D. J. Frantzeskakis, T. S. van den Bremer, and P. G. Kevrekidis, Two-dimensional rogue waves on zero background in a Benney-Roskes model. PHYSICAL REVIEW RESEARCH 2(2020), 033376 .

62. Jiguang Rao,Jingsong He,T. Kanna ,and Dumitru Mihalache, Nonlocal M-component nonlinear Schrodinger equations: Bright solitons, energy-sharing collisions, and positons. Phys. Rev. E 102(2020), 032201.

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

25. Chuanzhong Li,Jingsong He, K. Porsezian, Rogue waves of the Hirota and theMaxwell-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 decompositionsof 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.


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