履歷表
Jen-Hsu Chang, Ph.D. in Mathematics, UIUC
(張仁煦)
Department of Computer Science and Information Engineering,
National Defense University,
Tau-Yuan County, Taiwan, 33551,
University Website: http://eweb.ccit.ndu.edu.tw/bin/home.php
Department website: http://ecsie.ccit.ndu.edu.tw/files/11-1020-90.php
Email: jhchang@ndu.edu.tw,
Home Phone: 03-3892053, Cell-phone: 0972-217-156
1. Personal information:
Date of birth: Oct. 30, 1964
Place of birth: Kaohsiung, Taiwan
Citizenship: Taiwan
Languages: English and Chinese
Marital status: Married (two Children)
2. Research interests:
Differential Equations, Mathematical Physics, Integrable Models
3. All academic degrees obtained:
1984/7-1988/5 B.S. Department of Mathematics, National Cheng-Kung University, Tainan, Taiwan
1993/9-1998/8 Ph.D. Department of Mathematics, University of Illinois at Urbana Champaign, Illinois (UIUC), USA
(Thesis Advisor: Dr. Robert Carroll, deceased )
4. Professional experiences:
1995/9-1997/8 R. Assist. Department of Mathematics, University of Illinois at Urbana Champaign, Illinois, USA
1998/9-1999/2 Post Doc. Department of Mathematics, National Taiwan Normal University, Taipei, Taiwan
1999/3-2001/7 Post Doc. Institute of Mathematics, Academia Sinica, Taipei, Taiwan
2001/8-2004/7 Assist. Prof. Department of General Education, National Defense University, Taiwan
2004/8-2006/11 Assoc. Prof. Department of General Education, National Defense University, Taiwan
2006/12-2008/2 Assoc. Prof. Department of Computer Science, National Defense University, Taiwan
2008/3-present Full Prof. Department of Computer Science and Information Engineering , National Defense University, Taiwan
2010/8-2013/7 Head of the Department
2001/8-present Convener Members Teaching Calculus at
National Defense University, Taiwan (Textbook : Thomas’s Calculus, Publishing House: Prentice Hall)
5. Other experiences:
1990/10-1993/7 Teaching Math. Of Junior High School
1999/8 - 2007/8 Teaching Calculus at National Taiwan
Ocean Univ. (Part-Time)
2017/8 Teaching Complex Analysis and Geometry at the Department of Mathematics, National Central University, Tao-Yuan City (Part-Time)
6. Courses taught:
Calculus, Linear Algebra, Cryptography, Probability Theory, Complex Analysis, Differential Equations, Logistic Mathematics, Advanced Engineering Mathematics.
7. Grants and research projects
Total Amount: USD $ 215,000
l The Quantization of SNO Hamiltonian Operator
(NSC-91-2115-M-014-001)
l The Non-Algebraic Reductions of Universal Whitham Hierarchy (NSC-94-2115-M-014-001)
l Integrability of Self-Dual Vacuum Metrics
(NSC-95-2115-M-606-001)
l Multi-dimensional Quasi-Linear Integrable Evolution and the Problem of Formation and Resolution of Singularities (NSC 95-2923-M-606 -001 –MY3, three years’ Taiwan-Russia Scientific Project)
l Flat Coordinates of semi-Hamiltonian Systems
(NSC 96-2115-M-606-001-MY2, two-years’ project )
(NSC 96-2811-M-606-001, Post Doc. Fellowship Program for Dr. Yu-Tung Chen)
(NSC 97-2811-M-606-001, Post Doc. Fellowship Program for Dr. Yu-Tung Chen)
l Integrability of Three Dimensional Einstein-Weyl Metric (NSC 98-2115-M-606 -001 -MY2, two-years’ project )
l On the Novikov-Veselov Equation (NSC 100-2115-M-606-001)
l Solitons in the Novikov-Veselov Equation (NSC 101-2115-M-606-001)
l The Resonance of Solitons in the Novikov-Veselov Equation (NSC 102-2115-M-606-001)
l Interaction process of two loop solitons in the ultra short pulse equation (MOST 104-2115-M-606 -001 )
l Stochastic KP Equation (MOST 105-2115-M-606-001)
l Resonant Theory In the Modied KP-(II) Equation (MOST 106-2115-M-606-001)
l Parity-Time Symmetric Solitons in the Complex KP Equation (MOST 107-2115-M-606-001)
l Non-instantaneous photorefractive system (MOST 108-2115-M-606-001)
8. Participation in international conferences and workshops.
l “Integrable Systems in Differential Geometry”, Univ. of Tokyo, Japan , July 2000 ( financial support from the Institute of Math.)
l “The Legacy of Inverse Scattering Transformation”, Mount Holyoke College, July 2001 ( financial support from the Institute of Math.)
l “Symmetry in Nonlinear Mathematical Physics V”, Kiev, Ukraine, June 2003 ( financial support from the NSC)
l “Nonlinear Physics: Theory and Experiment IV”, Lecce, Italy, June 2006 ( financial support from the NSC)
l “Nonlinear Evolution Equations and Dynamical Systems”, L'Ametlla de Mar, Spain, June 2007 ( financial support from the NSC)
l Visiting the Lebedev Physical Institute, Invited by Prof. M. Pavlov, Mocow, Russia, July 2007 ( financial support from the Taiwan-Russia scientific project)
l “Nonlinear Physics: Theory and Experiment V”, Lecce, Italy, June 2008 ( financial support from the NSC)
l “Mathematics and Physics of Solitons and Integrable Systems” , Dijon, France, June 2009 ( financial support from the NSC)
l Visiting the Lebedev Physical Institute, Invited by Prof.. M. Pavlov, Mocow, Russia, July 2009 ( financial support from the Taiwan-Russia scientific project)
l ”Solitons, Collapses and Turbulence”, Novosibirsk, Russia, July 2009 ( financial support from the Taiwan-Russia scientific project)
l “Symmetry Plus Integrability”, Texas, USA, June 2010 ( financial support from the NSC)
l Visiting the South Florida Univ., Invited by Prof. W. Ma, June 2010 ( financial support from the NSC)
l “Symmetry and Perturbation Theory”, Otranto, Italy, June 2011, ( financial support from the NSC)
l “Geometrical Methods in Mathematical Physics”, Moscow, Russia, Dec. 2011 ( financial support from the Moscow State Univ. and NSC)
l “Solitons in Two Dimensional Water - Waves and Applications to Tsunami ”, Texas, USA, May, 2013 ( financial support from the NSC)
l “Integrable Systems and Quantum Symmetries”, Prague, Czech, June, 2014 ( financial support from the NSC)
l Sabbatical Leave : Department of Statistics, Univ. of California, Riverside, 2014/8-2014/12
l “ The Göttingen Workshop on Integrable Systems and Related Mathematical Structures”, Germany, April, 2016, ( financial support from the MOST)
l “ Dynamics in Siberia “, Siberia , Russia, March, 2017, ( financial support from the MOST)
l " Days on Diffraction 2018 " , St Petersburg, Russia, June, 2018, ( financial support from the MOST)
l "Island V: Integrability, Special functions, Combinatorics, Glasgow (U.K.) , June , 2019 ( financial support from the MOST)
l ”Solitons, Collapses and Turbulence-19”, Yaroslavi, August, 2019 ( financial support from the MOST)
Jen-Hsu Chang (張仁煦)
(著作目錄)
Publications
(1) Robert Carroll and Jen-Hsu Chang, The Whitham Equations Revisited , Applicable Analysis, 64, 1997, p343-378
(2) Jen-Hsu Chang and Ming-Hsien Tu, On the Miura
Map between Dispersionless KP and Dispersionless Modified KP Hierarchies, Journal of Mathematical Physics, 41(2000), p.5391-p.5406 (SCI)
(3) Jen-Hsu Chang and M.H. Tu, Poisson Algebras Associated with Constrained Dispersionless Modified KP Hierarchies, Journal of Mathematical Physics, 41( 2000), p.8117 (SCI)
(4) Jen-Hsu Chang and M.H. Tu, On the Benney Hierarchy: Free Energy, String Equation and Quantization, Journal of Physics A, 34( 2001), p.251-p.272 (SCI)
(5) Jen-Hsu Chang, Quantization of Benney Hierarchies, Contemporary Mathematics, Vol. 309(2002), American Mathematical Society, p.21-p.32 (SCI)
(6) Jen-Hsu Chang, Approximately Rational Symmetries of KdV Equation, Journal of Physics A, 36(2003), p.8025-p.8034 (SCI)
(7) Jen-Hsu Chang, On the Deformations of Dorfman and Sokolov Operators, Proceedings of Institute of Mathematics of NAS of Ukraine, Kyiv, p.55-p.62, vol.50 , 2004
(8) Jen-Hsu Chang and M.H. Tu, Topological Field Theory Approach to the Generalized Benney Hierarchy , The Chinese Journal of Physics, Vol.42, No.3, p.249-p.272, 2004 (SCI)
(9) Derchyi Wu, Ming-Hsien Tu, Yu-Tung Chen and Jen-Hsu Chang, The d-Bar Approach to the Dispersionless Harry-Dym Hierarchy, Journal of Phys. A, 38(2005), No. 27, p.6167-p.6181 (SCI)
(10) Jen-Hsu Chang, Hydrodynamic Reductions of Dispersionless Harry Dym hierarchy, Journal of Phys. A, 38(2005), No. 29, p.6505-p.6515 (SCI)
(11) Ming-Hsien Tu, Yu-Tung Chen and Jen-Hsu Chang, Dressing Operator Approach to the Toroidal Model of Higher –Dimensional Dispersionless Hierarchy, Journal of Phys. A, 38(2005), No. 43, p.9529-p.9549 (SCI)
(12) Jen-Hsu Chang, On the Waterbag Model of Dispersionless KP Hierarchy, Jour. of Phys. A, 39(2006), p.11217-p.11230 (SCI)
(13) Yu-Tung Chen, Jen-Hsu Chang and Ming-Hsien Tu, Additional Symmetries and Backlund Transformations for the Dispersionless Dym Hierarchy, Theoretical and Mathematical Physics, Vol 152( 2007), p.915-p.925 (SCI)
(14) Jen-Hsu Chang, On the Waterbag Model of Dispersionless KP Hierarchy (II), J. Phys. A: Math. Theor. 40 (2007) ,p.12973-p.12985. (SCI)
(15) Jen-Hsu Chang, On the Waterbag Model of Dispersionless Toda Hierarchy, Journal of Nonlinear Mathematical Physics, Vol.15, Supplement 3 (2008), p.102-p.113 (SCI)
(16) Jen-Hsu Chang and Yu-Tung Chen, Solutions for real dispersionless Veselov-Novikov hierarchy, Theoretical and Mathematical Physics, 159(3):741–751 (2009) (SCI)
(17) Jen-Hsu Chang and Yu-Tung Chen, Hodograph solutions for the Manakov–Santini equation, Journal of Math. Physics, Vol.51, p. 42701-18, 2010 (SCI)
(18) Jen-Hsu Chang, The Gould-Hopper Polynomials in the Novikov-Veselov equation, J. Math. Phys. 52, 092703 (2011); doi:10.1063/1.3638043 (15 pages) (SCI)
(19) Jen-Hsu Chang, N-Solitons Solutions in the Novikov-Veselov Equation, SIGMA 9 (2013), 006, 13 pages, arXiv:1206.3751 (SCI)
(20) Jen-Hsu Chang, The Mach-type soliton in the Novikov-Veselov Equation, SIGMA 10 (2014), 111, 14 pages, 2014 (SCI)
(21) Jen-Hsu Chang, The Interactions of Solitons in the Novikov-Veselov Equation, Applicable Analysis, vol. 95, p. 1370-p.1388, 2016 (SCI)
(22) Jen-Hsu Chang, Asymptotic analysis of lump solutions in the
KP -(I) equation, Theoretical and Mathematical physics, Vol. 195(2): 676– 689 , 2018 (SCI)
(23) Jen-Hsu Chang, Soliton interaction in the modified Kadomtsev–Petviashvili- (II) equation Resonance, To appear in Applicable Analysis, 2019, https://doi.org/10.1080/00036811.2018.1466285 (SCI)
(24) Jen-Hsu Chang, The resonant structure of Kink-Solitons in the Modified KP Equation, 19 pages, submitted to a SCI journal, 2019
(25) Jin-Yen Lin, Jen-Hsu Chang and Ray-Kuang Lee, Nonlinear dispersion with in Optics, in preparation, 2019
Preprints
(27) Jen-Hsu Chang, Maxim V. Pavlov, Sergey. A. Zykov, Deformed Boyer-Finley equation and solution of WDVV equation, 2008
(28) L.V. Bogdanov, Jen-Hsu Chang, and Yu-Tung Chen, Generalized dKP: Manakov-Santini hierarchy and its waterbag reduction, 2008
(29) Maxim V. Pavlov, Jen-Hsu Chang and Yu-Tung Chen, Integrability of the Manakov-Santini system, arXiv:1206.3751, 2009