个人信息 | PERSONAL DATA
Last Name: Wang First Name: JingPing
Place of Birth: Shanxi, P.R. China
Email: [email protected]
通信地址 | COMMUNICATION ADDRESS:
School of Mathematics and Statistics Ningbo University
Ningbo 315211, P. R. China
研究方向 | RESEARCH INTERESTS
Algebraic and Geometric Structures for both Commutative and Noncommutative Integrable Systems; Integrability conditions and Classification;
Algebraic quantisation of dynamical systems;
Exact solutions for discrete and continuous nonlinear systems
教育背景 | EDUCATION BACKGROUND
• The LASR (Leadership for Areas of Significant Responsibility) programme, University of Kent, Canterbury, UK, 2014-2015.
• PGCHE (Postgraduate Certificate in Higher Education), University of Kent, Canterbury, UK, 2004-2007.
• Ph.D. in Mathematics (Wiskunde), Vrije Universiteit, Amsterdam, The Netherlands, 1994- 1998.
• M.S. in Applied Mathematics, Tsinghua University, Beijing, P.R. China, 1990-1993.
• B.S. in Applied Mathematics, Peking University, Beijing, P.R. China, 1986-1990.
工作经历 | PROFESSIONAL EXPERIENCE
• 2024.10 - now, Professor, School of Mathematics and Statistics, Ningbo University.
• 2004.07 - 2024.09, Lecturer, Senior Lecturer (2010), Reader (2013) and Professor (2016), School of Mathematics, Statistics & Actuarial Science, University of Kent, UK
• 2003.01 - 2004.06, Senior Research Associate, Department of Mathematics, Brock University, Canada
• 1999.10 - 2003.01, NWO Postdoctoral Researcher, Divisie der Wiskunde en Informatica, FEW, Vrije Universiteit, Amsterdam, The Netherlands
• 1998.10 - 1999.10, NWO talent-Fellowship, School of Mathematics, University of Minnesota, Minneapolis, Minnesota
科研项目及奖励 | RESEARCH GRANTS
• EP/V050451/1 (Engineering and Physical Sciences Research Council (EPSRC)): “A novel ap- proach to integrability of semi-discrete systems”. PI with co-PIs: A. Mikhailov and V. Novikov,
£77,538, 01/2021-06/2022.
• 11944 (LMS Conference Grants Scheme 1): “Poisson Structures and Noncommutative Integra- bility”. £4500. 2022.
• EP/P012698/1 Exact solutions for discrete and continuous nonlinear systems. EPSRC, PI, 05/2017-05/2021, £202,787
• 11310 (LMS Conference Grants Scheme 1): “Algebraic Methods in Theory of Differential and Difference Equations”. £4130. 6-7 December, 2013.
• EP/I038659/1 (EPSRC):”Structure of partial difference equations with continuous symmetries and conservation laws”. £105,173. 01/2012 –07/2015.
代表性论文与出版物 | PUBLICATIONS
Refereed Journal Papers
1. Hamiltonians for the quantised Volterra hierarchy. (co-authors: S Carpentier, AV Mikhailov) Nonlinearity 37 (2024) 095033 (21 pages).
2. Hamiltonian and recursion operators for a discrete analogue of the Kaup-Kupershmidt equation. (co-authors: E. Peroni) Open Communications in Nonlinear Mathematical Physics, Special Issue in Memory of Decio Levi (2024) 1-14.
3. Quantisations of the Volterra hierarchy. (co-authors: S Carpentier, AV Mikhailov) Lett Math Phys 112 (2022) 94 (38 pages).
4. Perturbative Symmetry Approach for Differential-Difference Equations. (co-authors: AV Mikhailov, VS Novikov) Commun. Math. Phys. 393 (2022) 1063-1104.
5. Hamiltonian structures for integrable nonabelian difference equations. (co-author: M. Casati), Commun. Math. Phys. 392, 219-278 (2022).
6. Multi-component Toda lattice in centro-affine Rn. (co-authors: X Duan, C Li) Theoretical and Mathematical Physics 207 (2021) 701-712.
7. Recursion and Hamiltonian operators for integrable nonabelian difference equations. (co-author: M Casati) Nonlinearity 34 (2021) 205-236.
8. PreHamiltonian and Hamiltonian operators for differential-difference equations. (co-authors: S Carpentier, AV Mikhailov) Nonlinearity 33 (2020) 915-941.
9. Remarks on certain two-component systems with peakon solutions. (co-authors: Hone, Andy and Novikov, Vladimir) Journal of Geometric Mechanics, 11 (2019) 561-573.
10. Rational recursion operators for integrable differential-difference equations. (co-authors: S Car- pentier, AV Mikhailov) Communications in Mathematical Physics, 370 (2019) 807-851
11. A Darboux-Getzler theorem for scalar difference Hamiltonian operators. (co-author: M. Casati), Commun. Math. Phys. 374 (2019) 1497-1529.
12. Generalizations of the short pulse equation. (co-authors: Hone, Andy and Novikov, Vladimir) Letters in Mathematical Physics, 108 (2018) 927-947.
13. Wave fronts and cascades of soliton interactions in the periodic two dimensional Volterra sys- tem. (co-authors: R. Bury, A. V. Mikhailov) Physica D: Nonlinear Phenomena, 347 (2017) 21-41.
14. Two-component generalizations of the Camassa-Holm equation. (co-authors: A. N.W. Hone,
V. S. Novikov) Nonlinearity, 30 (2017) 622-658.
15. Symbolic Representation and Classification of N = 1 Supersymmetric Evolutionary Equations. (co-authors: K. Tian) Studies in Applied Mathematics, 138 (2017) 467-498.
16. Darboux transformation for the vector sine-Gordon equation and integrable equations on a sphere. (co-authors: A. V. Mikhailov, G. Papamikos) Letters in Mathematical Physics, 106 (2016) 973-996.
17. Dressing method for the vector sine-Gordon equation and its soliton interactions. (co-authors:
A. V. Mikhailov, G. Papamikos) Physica D: Nonlinear Phenomena, 325 (2016) 53-62.
18. Representations of sl(2, C) in the BGG category O and master symmetries. Theoretical and Mathematical Physics, 184 (2015) 1078-1105.
19. Darboux transformation with Dihedral reduction group . (co-authors: A. V. Mikhailov, G. Papamikos) Journal of Mathematical Physics, 55 (2014). 113507. arXiv:1402.5660.
20. Hamiltonian evolutions of twisted gons in RPn , (co-authors: G. Mari-Beffa). Nonlinearity 26 (2013) 2515-2551. arXiv:1207.6524
21. Darboux transformations and Recursion operators for differential difference equations, (co- authors: F. Khanizadeh and A.V. Mikhailov). Theoretical and Mathematical Physics 177 (2013), 1606-1654. arXiv:1305.0588
22. Discrete moving frames and discrete integrable systems, (co-authors: E. Mansfield and G. Mari- Beffa). Foundations of Computational Mathematics 13 (2013) 545-582.
23. Recursion operator of the Narita-Itoh-Bogoyavlensky lattice. Stud. Appl. Math. 129(3):309– 327, 2012.
24. A new recursion operator for Adler’s equation in the Viallet form, (co-authors: A.V. Mikhailov). Physics Letters A 375: 3960–3963, 2011.
25. Cosymmetries and Nijenhuis recursion operators for difference equations, (co-authors: A.V. Mikhailov and Pavlos Xenitidis) . Nonlinearity 24:2079–2097, 2011.
26. Recursion operators, conservation laws and integrability conditions for difference equations, (co-authors: A.V. Mikhailov and Pavlos Xenitidis). Theoretical and Mathematical Physics, 167(1):421–443, 2011.
27. The Hunter-Saxton equation: remarkable structures of symmetries and conserved densities. Nonlinearity 23:2009–2028, 2010.
28. Extension of integrable equations. J. Phys. A: Mathematical and Theoretical 42, 362004, Fast Track Communication 2009.
29. Lenard scheme for two-dimensional periodic Volterra chain. Journal of Mathematical Physics 50(2), 023506, 2009.
30. Integrable peakon equations with cubic nonlinearity, (Co-author: A.N.W. Hone). J. Phys. A: Mathematical and Theoretical 41, 372002, Fast Track Communication 2008.
31. Symmetry structure of integrable non-evolutionary equations, (co-author: V.S. Novikov). Stud- ies in Applied Mathematics, 119(4):393–428, 2007.
32. On classification of integrable non-evolutionary equations, (co-authors: A.V. Mikhailov and
V.S. Novikov). Studies in Applied Mathematics 118:419–457, 2007.
33. On the Structure of (2 + 1)–dimensional Commutative and Noncommutative Integrable Equa- tions. Journal of Mathematical Physics 47(11), 113508, 2006.
34. Integrable systems in n-dimensional conformal geometry, (co-author: J.A. Sanders). J. Diff. Eq. Appl. 12(10): 983–995, 2006.
35. Partially integrable nonlinear equations with one high symmetry, (co-authors: A.V. Mikhailov and V.S. Novikov). J. Phys. A: Math. Gen. 38:L337-L341, 2005.
36. On the Integrability of Systems of second order Evolution Equations with two Components, (co-author: J.A. Sanders). Journal of Differential Equations, 203(1):1–27, 2004.
37. Integrable systems in n-dimensional Riemannian Geometry, (co-author: J. A. Sanders). Moscow Mathematical Journal, 4(3):1369–1393 2003.
38. Prolongation algebras and Hamiltonian operators for peakon equations, (co-author: A.N.W. Hone). Inverse problems, 19(1):129–145, 2003.
39. On a family of operators and their Lie algebras, (co-author: J.A. Sanders). Journal of Lie Theory, 12(2):503–514, 2002.
40. On integrable systems in 3-dimensional Riemannian geometry, (co-authors: G. Mar´ı Beffa, J.A. Sanders). Journal of Nonlinear Science, 12:143–167, 2002.
41. A List of 1 + 1 Dimensional Integrable Equations and Their Properties, Journal of Nonlinear Mathematical Physics, 9 - Supplement 1:213–233, 2002.
42. Ghost Symmetries, (co-authors: P.J. Olver, J.A. Sanders). Journal of Nonlinear Mathematical Physics, 9 - Supplement 1:164–172, 2002.
43. Integrable Systems and their Recursion Operators, (co-author: J.A. Sanders). Nonlinear Anal- ysis, 47(8):5213–5240, 2001.
44. On Integrability of Systems of Evolution Equations, (co-authors: F. Beukers, J.A. Sanders). Journal of Differential Equations, 172:396–408, 2001.
45. On Recursion Operators, (co-author: J.A. Sanders). Physica D, 149:1–10, 2001.
46. Classification of Integrable One-Component Systems on Associative Algebras, (co-author: P.J.Olver). Proceedings of the London Mathematical Society, 81:566–586, 2000.
47. On the Integrability of Non-Polynomial Scalar Evolution Equations, (co-author: J.A. Sanders). Journal of Differential Equations, 166:132–150, 2000.
48. On the integrability of homogeneous scalar evolution equations, (co-author: J.A. Sanders). Jour- nal of Differential Equations, 147:410–434, 1998.
49. One symmetry does not imply integrability, (co-authors: F. Beukers, J.A. Sanders). Journal of Differential Equations, 146:251–260, 1998.
50. Combining Maple and Form to decide on integrability questions, (co-author: J.A. Sanders). Computer Physics Communications, 115:1-13, 1998.
51. Classification of conservation laws for KdV–like equations, (co-author: J.A. Sanders). Mathe- matics and Computers in Simulation, 44:471–481, 1997.
52. Hodge decomposition and conservation laws, (co-author: J.A. Sanders). Mathematics and Computers in Simulation, 44:483–493, 1997.
Refereed Conference Proceedings
53. Symbolic Computation of Polynomial Conserved Densities, Generalized Symmetries, and Re- cursion Operators for Nonlinear Differential-Difference Equations, (co-authors: W. Hereman and J.A. Sanders and J. Sayers). Proceedings for the Workshop on Group Theory and Numer- ical Methods (2003), CRM Proc. Lecture Notes 39:133–148, 2005.
54. Generalized Hasimoto Transformation and vector Sine-Gordon equation, “Symmetry and Per- turbation Theory” (proceedings of the conference held in Cala Gonone, 19-26 May 2002), S. Abenda, G. Gaeta and S. Walcher eds., World Scientific, 277–285, 2003.
55. Classification of Symmetry-Integrable Evolution Equations, (co-authors: P.J. Olver, J.A. Sanders). CRM Proceedings and Lecture Notes, 29:363–372, 2001.
56. On Integrability of Evolution Equations and Representation Theory, (co-author: J.A. Sanders). in The geometrical study of differential equations (Washington, DC, 2000):85–99, 2001.
57. The symbolic method and cosymmetry integrability of evolution equations, (co-author: J.A. Sanders). Equadiff’99, International Conference on Differential Equations, World Scientific, Singapore, 824–831, 2000.
58. On the classification of integrable systems, (co-author: J.A. Sanders). Proceedings of the Fourth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Ed.:
J.A. DeSanto, Colorado School of Mines, Golden, Colorado, USA, June 1-5, 1998, SIAM, Philadelphia, 393–397.
59. Normal forms of a class of linear Generalized Hamiltonian Systems associated with semisimple Lie algebra, (co-author: D. Wang). Dynamical Systems and Chaos, Eds.: N. Aoki, K. Shiraiwa, and Y. Takahashi, World Scientific, 260–263, 1994.
Book Articles
60. Number Theory and the Symmetry Classification of Integrable Systems, (co-author: J.A. Sanders) in Integrability , 89–118, Lecture Notes in Physics, Springer, ed. A.V. Mikhailov, 2009.
61. Symbolic representation and classification of integrable systems, (co-authors: A.V. Mikhailov and V.S. Novikov, nlin.SI/0712.1972) in Algebraic Theory of Differential Equations, 156–216, Cambridge University Press, eds. M.A.H. MacCallum and A.V. Mikhailov, 2009.
