刘青平，男，1965年2月，教授、博士生导师


 一、教育、工作背景：

    1982.09 - 1986.07   太原理工大学数理系   应用数学   学士

    1986.09 - 1987.08   哈尔滨工业大学数学系   应用数学      

    1987.09 - 1988.02   北京语言大学培训部   英语培训      

    1988.08 - 1992.07   英国LEEDS大学   应用数学系  博士

    1992.10 - 1994.10   中国科学院理论物理研究所   博士后

    1994.11 - 1996.05   中国矿业大学（北京）   副教授

    1996.06 - 1998.06   西班牙COMPLUTENSE大学   博士后

    1998.07 - 至今    中国矿业大学（北京）   副教授/教授

 

二、访学、进修

    1999.07 - 1999.09   国际理论物理中心（意大利）  访问

    2000.04 - 2000.08   中国科学院数学与系统科学研究院  访问学者

    2001.07 - 2001.10   国际理论物理中心（意大利）  访问

    2004.01 - 2004.05   美国University of Illinois Urbana-Champaign大学     访问

    2004.06 - 2004.09   国际理论物理中心（意大利）  访问

    2009.01 - 2009.02   香港浸会大学       访问

    2009.03 -       罗马第三大学       访问

 

三、学术兼职

   1996.01 - 2002.12   中国科学院理论物理研究所   客座人员

    1996.01 --      中国高等科技中心   协联成员

    1997.11 - 2004.12   国际理论物理中心（意大利）   A成员

    2004.09 --      上海交通大学         博士生导师

    2005.09 --      首都师范大学         博士生导师

    2017.12--         北京数学会理事

 

四、荣誉与获奖

    1997年入选江苏省333人才工程；

    1998年获第八届孙越崎青年科技奖；

    1999年入选教育部优秀青年教师资助计划；

    2000年入选煤炭行业专业技术拔尖人才；

    2001、2003年获中国矿业大学（北京）教学成果一等奖；

    2002年获教育部跨世纪优秀人才培养基金；

    2007年荣获第三届北京市高等学校教学名师；

    2007年荣获校科学技术一等奖 ；

    2007年享受国务院政府特殊津贴。

    2017年北京市高等教育成果一等奖


五、科研项目

1.中国博士后科学基金（1993-1994)       负责

2.中国科学院理论物理特别支持（1993-1994）   负责

3.教育部留学回国人员基金（1995-1998）   负责

4.国家自然科学基金(青年基金)（1995-1997）     负责

5.教育部优秀年轻教师基金（1999-2001）   负责

6.国家自然科学基金（2000-2002）        负责

7.教育部跨世纪优秀人才培养计划基金 (2002-2005)   负责

8.国家自然科学基金重点项目:现代数学物理若干问题研究(2003-2006)（陆启铿院士主持）         骨干成员

9.国家自然科学基金（2007-2009）        负责

10.国家自然科学基金重点项目:相对论与超对称中一些数学物理问题研究(2008-2011)（王世坤教授主持）         骨干成员

11.国家自然科学基金(2010-2012)     负责

12.国家自然科学基金(2013-2016)     负责

13.国家自然科学基金重点项目：可积系统的代数与几何结构（2014-2018）（耿献国教授主持） 骨干成员

  14. 国家自然科学基金（超对称可积系统与Lax-Darboux方案，2019-2022）
  15. 国家自然科学基金重点项目：离散可积系统（2020-2024）（耿献国教授主持） 骨干成员


六、 科研论文

1. K. Tian, Q. P. Liu, Wenjun Yue
Reciprocal transformations of two super Camassa-Holm equations
Journal of Mathematical Physics (2020)043503

https://doi.org/10.1063/1.5134097

2. Binfang Gao, Q. P. Liu, Kai Tian
A super Sawada-Kotera hierarchy
Applied Mathematics Letters (2020)

https://doi.org/10.1016/j.aml.2020.106350

3. Gaihua Wang, Q.P. Liu, Hui Mao
The modified Camassa-Holm equation: Backlund transformation and nonlinear superposition formula
Journal of Physics A (2020)---Accepted

https://doi.org/10.1088/1751-8121/ab7136

4. Gaihua Wang, NianhuaLi，Q.P. Liu
Multi-soliton solutions of a two-component Camassa-Holm system: Darboux transformation approach
Communications in Theoretical Physics 72 (2020) 045003

doi: 10.1088/1572-9494/ab7706

5. K. Tian, Binfang Gao, Q. P. Liu and Chen Chen
On Kupershmidt’s extended equation of dispersive water waves
Applied Mathematical Letters 92 (2019) 121--127

6. Binfang Gao, K. Tian and Q. P. Liu
Some super systems with local bi-Hamiltonian operators
Physics. Letters A 383 (2019) 400--405

7. Hui Mao, Q. P. Liu, Lingling Xue (2018)
Supersymmetric Sawada-Kotera equation: Backlund-Darboux transformations and applications
Journal of Nonlinear Mathematical Physics 25 (2018) 375-386

8. Binfang Gao, Kai Tian, Q. P. Liu, Lujuan Feng (2018)
Conservation laws of the generalized Riemann equations
Journal of Nonlinear Mathematical Physics 25 (2018) 122-135

9. Hui Mao, Q. P. Liu (2018)
Backlund-Darboux transformations and discretizations of N=2 a=-2 supersymmetric KdV equation
Physics Letters A 382 (2018) 253-258

10. Lingling Xue, Q. P. Liu and Dengshan Wang (2016)
A generalized Hirota-Satsuma coupled KdV system: Darboux transformations and reductions
J. Math. Phys. 57, 083506 (13pages)

11. Kai Tian, Q. P. Liu (2016)
Conservation laws and symmetries of Hunter-Saxton equation: revisited
Nonlinearity 29 (2016) 737-755

12. Xiao-Xing Niu, Q. P. Liu (2015)
Darboux transformation for Drinfeld-Sokolov-Wilson equation
Communications in Theoretical Physics 64(5) (2015) 491-494

13. Ling-Ling Xue, Q. P. Liu and Sen-Yue Lou (2015)
An integrable nonlinear diffusion hierarchy with a two-dimensional arbitrary function.
Applied Mathematical Letters 50 105-110.

14. Ling-Ling Xue and Q. P. Liu (2015)
A supersymmetric AKNS problem and its Darboux-Bäcklund transformations and discrete systems.
Studies in Applied Mathematics 135 35-62.

15. Nianhua Li, Q.P. Liu and Z. Popowicz (2014)
A four-component Camassa-Holm type hierarchy.
Journal of Geometry and Physics 85 29-39.

16. Ling-Ling Xue and Q. P. Liu (2014)
Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation .
SIGMA 10 045(10 pages).

17. Kai Tian and Q. P. Liu (2014)
Behaviors of N=1 supersymmetric Euler derivatives and Hamiltonian operators under general superconformal transformations.
Journal of Geometry and Physics 83 69-81.

18. Lingling Xue, Decio Levi and Q. P. Liu (2013)
Supersymmetric KdV equation: Darboux transformation and discrete systems.
Journal of Physics A: Mathematical and Theoretical 46(2013) 502001 (12 pages).

19. Nianhua Li and Q. P. Liu (2013)
Bi-Hamitonian Structure of a Three-Component Camassa-Holm Type Equation.
Journal of Nonlinear Mathematical Physics 20 126-134.

20. Lingling Xue, Q. P. Liu (2013)
On Backlund transformation for supersymmetric two-boson equation.
Physics Letters A 377 828-832.

21. Nianhua Li and Q. P. Liu (2013)
On bi-Hamiltonian structure of two-component Novikov equation.
Physics Letters A 377 257-261.

22. Kai Tian and Q. P. Liu (2013)
Tri-Hamiltonian duality between the Wadati-Konno-Ichikawa hierarchy and the Song-Qu-Qiao hierarchy.
Journal of Mathematical Physics 54 043513 (10 pp.).

23. Boling Guo, Lingming Ling and Q. P. Liu (2012)
High-Order Solutions and Generalized Darboux Transformations of Derivative Nonlinear Schrodinger Equations.
Studies in Applied Mathematics 130 317-344.

24. Kai. Tian and Q. P. Liu (2012)
Two new supersymmetric equations of Harry Dym type and their supersymmetric reciprocal transformations.
Physics Letters A 376 2334-40.

25. Kai. Tian and Q. P. Liu (2012)
The transformations between N = 2 supersymmetric Korteweg-de Vries and Harry Dym equations.
Journal of Mathematical Physics 53 053503 (8 pp.).

26. Kai Tian, Z. Popowicz and Q. P. Liu (2012)
A non-standard Lax formulation of the Harry Dym hierarchy and its supersymmetric extension.
Journal of Physics A: Mathematical and Theoretical 45 122001 (8 pp.).

27. Boling Guo, Liming Ling and Q. P. Liu (2012)
Nonlinear Schrodinger equation: Generalized Darboux transformation and rogue wave solutions.
Physical Review E 85 026607 (9 pp.).

28. Liming Ling and Q. P. Liu (2011)
A long waves - short waves model: Darboux transformation and soliton solutions.
Journal of Mathematical Physics 52 053513.

29. L.L. Xue, Q.P. Liu and R. M. Liu (2011)
Nonlinear superposition formula for SUSY SG/MKdV equations revisited.
Physics Letters A 375 1286-94.

30. Q. P. Liu, Z. Popowicz and K. Tian (2010)
The Even and Odd Supersymmetric Hunter - Saxton and Liouville Equations.
Physics Letters A 375 29-35.

31. Q. P. Liu, Z. Popowicz and K. Tian (2010)
Supersymmetric reciprocal transformation and its applications.
Journal of Mathematical Physics 51 093511.

32. Liming Ling and Q. P. Liu (2010)
Darboux Transformation for Two-component Derivative Nonlinear Schrodinger Equation.
Journal of Physics A: Mathematical and Theoretical 43 434023.

33. K. Tian and Q. P. Liu (2010)
Supersymmetric Fifth Order Evolution Equations.
AIP Conference Proceedings 1212 81-88.

34. K. Tian and Q. P. Liu (2009)
A supersymmetric Sawada-Kotera equation.
Physics Letters A 373 1807-1810.

35. M.X. Zhang, Q.P. Liu, Y.L. Shen and K. Wu (2009)
Bilinear approach to N=2 supersymmetric KdV equations.
Science in China, Series A 39 306-314.

36. M.X. Zhang, Q. P. Liu, J. Wang and K. Wu (2008)
A new supersymmetric classical Boussinesq equation.
Chinese Physics B 17 10-16.

37. P. L. Peng, M.X. Zhang, Gegenhasi and Q. P. Liu (2008)
On integrability of a (2+1)-dimensional MKdV-type equation.
Physics Letters A 372 4197-4204.

38. G. Y. Yang and Q. P. Liu (2008)
A Darboux Transformation for the Coupled Kadomtsev-Petviashvili Equation.
Chinese Physics Letters 25 1-3.

39. M X Zhang and Q. P. Liu (2007)
A supersymmetric second modified KdV equation.
Journal of Nonlinear Mathematical Physics 14 230-237.

40. Sh.Q. Lu, X. B. Hu and Q. P. Liu (2006)
A supersymmetric Ito equation and its soliton solutions.
Journal of the Physical Society of Japan 75 064004.

41. 刘青平， 王玉清（2006）
关于离散Schrodinger谱问题及其方程族的一个注记.
数学物理学报 26A(5) 773-777.

42. Q. P. Liu and X. X. Yang (2006)
Supersymmetric two-boson equation:bilinerization and solutions.
Physics Letters A 351 131-135.

43. Q. P. Liu and X. B. Hu (2005)
Bilinerarization of N=1 supersymmetric Korteweg-de Vries equation revisited.
Journal of Physics A: Mathematical and Theoretical 38 6371—6378

44. Q. P. Liu, X. B. Hu and M. X. Zhang (2005)
Supersymmetric modified Korteweg-de Vries equation: bilinear approach.
Nonlinearity 18 139-143.

45. H. C. Hu, X.Y. Tang, S.Y. Lou and Q. P. Liu (2004)
Variable separation solutions obtained from Darboux transformation: the Nizhnik-Novikov-Veselov equation.
Chinese Physics Letters 20 1413.

46. Q.P. Liu, Y.F. Xie (2004)
Nonlinear superposition formula for N=1 supersymmetric KdV equation,
Physics Letters A 325 139-143.

47. H. C. Hu, X.Y. Tang, S.Y. Lou and Q. P. Liu (2004)
Variable separation solutions obtained from Darboux transformation for the asymmetric Nizhnik-Novikov-Veselov equation.
Chaos, Solitons and Fractals 22 921-928.

48. H.C. Hu and Q. P. Liu (2003)
New Darboux Transformation for Hirota-Satsuma Coupled KdV System.
Chaos, Solitons and Fractals 17 921-928.

49. D. L. Yu, Q. P. Liu and S.K. Wang (2002)
Darboux Transformation for the Modified Veselov-Novikov Equation，
Journal of Physics A 35 3779-3785.

50. Q. P. Liu and M. Mañas (2002)
On the Pfaffian solutions of the BKP hierarchy，
Chinese Annals of Mathematics 23A 693-698.

51. S.-y. Lou, X..-y. Tang, Q. P. Liu and T. Fukuyama (2002)
Second Order Lax Pairs of Nonlinear Partial Differential Equations with Schwarzian Forms.
Z. Naturforsch 57A 738-744.

52. H.C. Hu and Q. P. Liu (2002)
Decouple a Coupled KdV System of Nutku and Ozgu.
Physics Letters A 294 84.

53. Q. P. Liu (2001)
Miura Map between Discrete KP and its Modification is Canonical.
Journal of Mathematical Physics 42 2105.

54. Q. P. Liu (2000)
Hamiltonian Structures for Ito's System,
Physics Letters A 277 31-34.

55. Q. P. Liu and M. Mañas (2000)
Darboux Transformations for super-symmetric KP Hierarchies.
Physics Letters B 485 293-300.

56. Q. P. Liu and M. Mañas (1999)
Vectorial Darboux Transformations for the Kadomtsev-Petviashvili Hierarchy.
Journal of Nonlinear Science 9 213-232.

57. Q. P. Liu and M. Mañas (1999)
Symmetric Reduction of the Vectorial Fundamental Transformation: Application to the Darboux-Egorov Equations
Journal of Physics A: Math. Gen. 32 5921-5927.

58. Q. P. Liu and M. Mañas (1998)
Superposition Formulae for the Discrete Ribaucour Transformation of Circular Lattices
Physics Letters A 249 424-430.

59. Q. P. Liu and M. Mañas (1998)
Pfaffian Solutions for the Manin-Radul-Mathieu SUSY KdV and SUSY sine-Gordon Equations.
Physics Letters B 436 306-310.

60. Q. P. Liu and M. Mañas (1998)
Sequences of Levy Transformations and Multi-Wronski Determinant Solutions of Darboux System.
Journal of Geometry and Physics 27 178-184.

61. Q. P. Liu (1998)
The Constrained MKP Hierarchy and the Generalized Kupershmidt-Wilson Theorem.
Letters in Mathematical Physics 43 65-72.

62. Q. P. Liu and M. Mañas (1998)
Darboux Transformations for SUSY Integrable Systems.Lecture Notes in Physics 502 268-296.

63. Q. P. Liu and M. Mañas (1998)
Discrete Levy Transformations and Casaroti Determinant Solutions of Quadralateral Lattices.
Physics Letters A 239 159-166.

64. Q. P. Liu and M. Mañas (1998)
Vectorial Ribaucour Transformations for the Lame Equations Journal of Physics A: Math. Gen. 31 L193-L200.

65. Q. P. Liu (1997)
Fully Supersymmetric Integrable Hierarchies from a Energy Dependent Super Hill Operator.
Journal of Physics A: Math. Gen. 30 8661-8670.

66. Q. P. Liu and M. Mañas (1997)
Darboux Transformation for the Manin-Radul Supersymmetric KdV Equation.
Physics Letters B 394 337-342.

67. Q. P. Liu and M. Mañas (1997)
Crum Transformation and Wronskian Type Solutions for Supersymmetric KdV Equation.
Physics Letters B 396 133-140.

68. Q. P. Liu (1997)
On the Integrable Hierarchies Associated with N=2 Super Wn Algebra.
Physics Letters A 235 335-340.

69. L. Chao and Q. P. Liu (1996)
On the Classical W4(2) Algebra.
Journal of Physics A: Math. Gen. 29 1453-1463.

70. Q. P. Liu (1996)
Bi-Hamiltonian Structures of the Coupled AKNS Hierarchy and the Coupled Yajima-Oikawa Hierarchy.
Journal of Mathematical Physics 37 2307-2310.

71. Q. P. Liu (1996)
A Note on Supersymmetric Two Bose Equation.
Communications in Theoretical Physics 25 505-508.

72. L. Bonora, Q. P. Liu and C.S. Xiong (1996)
The Integrable Hierarchy Constructed from a pair of Higher KdV Hierarchies and its Associated W Algebra.
Communications in Mathematical Physics 175 177-201.

73. Q. P. Liu (1995)
New Constraint of the KP Equation and a Coupled Burgers System.
Physics Letters A 198 178-182.

74. Q. P. Liu (1995)
On the Constrained Modified KP Hierarchy.
Inverse Problems 11 205-209.

75. Q. P. Liu (1995)
Supersymmetric Harry Dym Equation.
Journal of Physics A: Math. Gen. 28 L245-248.

76. Q. P. Liu (1995)
On the Cotangent Space Analog of the Korteweg-de Vries Equation.
Communications in Theoretical Physics 24 117-120.

77. Q. P. Liu (1995)
Darboux Transformations for the Supersymmetric KdV Equations.
Letters in Mathematical Physics 35 115-122.

78. Q. P. Liu (1994)
Modifications of the Constrained KP Hierarchy.
Physics Letters A 187 373-381.

79. Q. P. Liu (1994)
New Integrable Systems Related to a Kupershmidt's Equation by Miura Maps,
Journal of Mathematical Physics 35 816-820.

80. Q. P. Liu and C. S. Xiong (1994)
W3(2)--Algebra and the Related Integrable Hierarchies.
Physics Letters B 327 257-265.

81. Q. P. Liu (1994)
On the Multi-component Extensions of the Burgers Equation.
Journal of Physics A: Math. Gen. 27 3915-3917.

82. Q. P. Liu and C. S. Xiong (1994)
W3(2) Algebra: Related hierarchies and New Type Free Field realizations. In Proceeding of International Conference on Interface between Physics and Mathematics, eds. W. Nahm and J.M. Shen, (World Scientific).

83. Q. P. Liu (1993)
Bi-Hamiltonian Structures of a Generalized Super Korteweg-de Vries Equation.
Journal of Physics A: Math. Gen. 26 L1239-1242.

84. Q. P. Liu (1992)
A New Integrable Hierarchy of Lattice Equations.
Journal of Physics A: Math. Gen. 25 3603-3608.

85. Q. P. Liu (1991)
A Tri-Hamiltonian Extension of the Boussinesq Equation.
In Nonlinear Evolution Equations and Dynamical Systems, eds. V. G. Marhankov and O. K. Pashaev, (Springer-Verlag, Berlin).

86. M. Antonowicz, A. P. Fordy and Q. P. Liu (1991)
Energy Dependent Third Order Operator.
Nonlinearity 4 669-684.

87. Q. P. Liu and C. Athorne (1991)
Comments on ``Matrix generalization of the modified Korteweg-de Vries equation''.
Inverse Problems 7 783-785.

88. Q. P. Liu and I. Marshall
Two Modifications of Ito's equation.
Physics Letters A 160 155-160.

                  89.Q. P. Liu (1990)
     Hamiltonian Structures Related to a New Spectral Problem.
     International Journal of Theoretical Physics 29 247-251.

 

  七、硕士研究生培养

    1. 胡恒春(1999-2002)、上海理工大学副教授

    2．谢玉粉(2001-2004)、北京信息科技大学教师

    3. 张孟霞(2002-2005)、中国矿业大学（北京）副教授

    4. 吕书强(2003-2006)、北京联合大学应用文理学院副教授

    5. 杨晓霞(2003-2006)、北京工业大学教师

    6. 王    娟(2004-2007)、北京市第19中学教师

    7. 刘    贝(2004-2007)、公司经理

    8. 彭令志(2005-2008)、浙江省湖州市，中学教师

    9. 高    平(2005-2008)、北京市海淀区，中学教师

    10. 杨光有(2005-2008)、北京市海淀区，小学教师

    11. 申亚丽(2005-2008)、山西省运城学院副教授

    11. 田    凯(2005-2008)、中国矿业大学（北京）副教授

    12. 李    莉(2006-2009)、 安徽涉外经济学院教师

    13. 尹    微(2006-2009)、美国South Texas College讲师

    14. 廖益平(2006-2009)、湖南中公教育

    15. 凌黎明(2007-2010)、华南理工大学教授

    16. 王耀娜(2007-2010)、安徽省淮北市、中学教师

    17. 于运鹏(2007-2010)、北京市通州区宋庄镇政府

    18．赵丽媛(2007-2010)、中国矿业大学（北京）人事处

    19. 毛    辉(2008-2011)、广西师范学院、助教

    20. 薛玲玲(2008-2011)、宁波大学讲师

    21. 刘瑞梅(2008-2011)、晋商银行朔州分行

    22. 胡少华(2009-2012)、建设银行（北京）

    23. 魏小然(2009-2012)、北京市大兴区、小学教师

    24. 贺少玲(2009-2012)、北京高思教育集团

    25. 梁雪梅(2009-2012)、北京高思教育集团

    26. 王    鹏(2010-2013)、建设银行（北京）

    27. 吕    远(2010-2013)、南京工业大学信息评估中心

    28. 陈  晨（2011-2014）、珠海市BBU国际早教联盟中心

    29. 张  磊（2011-2014）、河北鑫硕律师事务所

    30. 牛晓星（2011-2014）、太原理工大学、教师

    31. 刘佳文（2012-2015）、北京IT公司（敦煌网）

    32. 王  超（2012-2015）、 北京市公共交通控股有限公司

    33. 高斌芳（2012-2015）、山西财经大学、教师

    34. 王小英（2013-2016）、北京市税务局

    35. 牛鹏飞（2013-2016）、黄河科技学院、教师
    36. 冯璐娟（2014-2017）、山西省长治县、小学教师
    37. 杨晓敏（2014-2017）、北京市平谷区统计局

    38. 冯富威（2015-2018）、北京市、公司职员

    39. 马  婕 (2015-2018) 、北京市第二实验小学、教师

    40. 黄齐曼（2016-2019）、北京市丰台区中学教师



八、博士研究生培养

 1. 张孟霞(2005-2008)、中国矿业大学（北京）副教授

 2．陈兰新(2008-2011)、 石家庄学院副教授

 3．李年华（2011-2014）、华侨大学副教授

 4. 薛玲玲（2011-2014）、宁波大学讲师

 5. 牛晓星（2014-2017）、太原理工大学教师

 6. 毛  辉 (2015-2018)、 南宁师范大学教师

     7．高斌芳（2015-2018）山西财经大学教师