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Last modified date：2010.1.18
Kenji Kajiwara
Professor
Graduate School
Undergraduate School
Other Organization
E-Mail
Homepage
Academic Degree
Ph.D(engineering)
Field of Specialization
mathematical physics, theory of nonlinear integrable systems
Outline Activities
I have been engaged in research and related educational activities in
the area of the theory of nonlinear integrable systems. As for social activities, I gave a lecture at the public
lectures organized by graduate school of mathematics in 2002. I also
wrote articles in mathematical magazines such as "Suugaku Seminar" and
in some computer magazines.
Research
Research Interests
- Ultradiscretization of solvable chaotic systems and tropical geometry
keyword : solvable chaotic systems, ultradiscretization, tropical geometry
2007.12.
- Development of discrete differential geometry by means of discrete integrable systems
keyword : integrable systems, discrete systems, soliton equations, discrete differential geometry
2008.04.
- Study of the Painlev\'e systems
keyword : integrable systems, discrete systems, Painlev\'e systems, special functions
1993.04.
Academic Activities
Papers
| 1. |
Kenji Kajiwara, Masanobu Kaneko, Atsushi Nobe and Teruhisa Tsuda,Ultradiscretization of a solvable two-dimensional chaotic map assciated with the Hesse cubic curve ,Kyushu Journal of Mathematics,63巻2号315-338ページ,2009.09. |
| 2. |
Kenji Kajiwara, Atsushi Nobe and Teruhisa Tsuda,Ultradiscretization of solvable one-dimensional chaotic maps,Journal of Physics A: Mathematical and Theoretical,41巻，395202,2008.09. |
| 3. |
Kenji Kajiwara and Yasuhiro Ohta,Bilinearization and Casorati determinant solution to the non-autonomous discrete KdV equation,Journal of the Physical Society of Japan,77巻, 054004,2008.05. |
| 4. |
Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi, Yasuhiro Ohta and Yasuhiko Yamada,Point configurations, Cremona transformations and the elliptic difference Painleve equation,Séminaires et Congrès ,14巻，175-204.,2007.08. |
| 5. |
Taro Hamamoto, Kenji Kajiwara and Nicholas S. Witte,Hypergeometric solutions to the q-Painleve equation of type $(A_1+A_1')^{(1)}$,Interenational Mathematics Research Notices,2006, Article ID 84619,2006.10. |
| 6. |
Nalini Joshi, Kenji Kajiwara and Marta Mazzocco,Generating Function Associated with the Determinant Formula for the Solutions of the Painlev\'e II Equation,Ast\'erisque,Vol.274(2004) 67-78,2005.06. |
| 7. |
Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi, Yasuhiro Ohta and Yasuhiko Yamada,Cubic Pencils and Painlev\'e Hamiltonians,Funkcialaj Ekvacioj,Vol.48(1) (2005) 147-160,2005.04. |
| 8. |
Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi, Yasuhiro Ohta and Yasuhiko Yamada,Construction of Hypergeometric Solutions to the q-Painlev\'e Equations,International Mathematical Research Notices,Vol.2005(24) (2005) 1439-1463,2005.01. |
| 9. |
Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi, Yasuhiro Ohta and Yasuhiko Yamada,Hypergeometric solutions to the q-Painleve equations,International Mathematical Research Notices,2004:47 (2004) 2497-2521,2004.08. |
| 10. |
Kenji Kajiwara,On a q-Painleve III equation.II: rational solutions,Journal of Nonlinear Mathematical Physics,Vol.22 282-303,2003.08. |
| 11. |
K. Kajiwara, T. Masuda, M. Noumi, Y. Ohta and Y. Yamada,10E9 solution to elliptic Painleve equation,Journal of Physics A: Mathematica and General,Vol.36 L263-L272,2003.05. |
| 12. |
Kenji Kajiwara and Kinji Kimura,On a $q$-Painlev\'e III Equation. I: Derivations, Symmetry and Riccati Type Soutions,Journal of Nonlinear Mathematical Physics,Vol.10, 86-102,2003.02. |
| 13. |
Kenji Kajiwara, Masatoshi Noumi and Yasuhiko Yamada,q-Painlev\'e Systems Arising from q-KP Hierarchy,Letters in Mathematical Physics,Vol.62, 259-268.,2002.12. |
| 14. |
Katsunori Iwasaki, Kenji Kajiwara and Toshiya Nakamura,Generating Function Associated with the Rational Solutions of the Painlev\'e II Equation,Journal of Physics A: Mathematical and General,Vol.35, L207-L211,2002.04. |
| 15. |
Kenji Kajiwara, Masatoshi Noumi and Yasuhiko Yamada,A Study on the Fourth q-Painlev\'e Equation,Journal of Physics A: Mathematical and General,Vol.34,8563-8581,2001.10. |
| 16. |
Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi, Yasuhiro Ohta and
Yasuhiko Yamada,Determinant Formulas for the Toda and Discrete Toda Equations,Funkcialaj Ekvacioj,Vol. 44,291-307,2001.08. |
| 17. |
Kenji Kajiwara and Yasuhiro Ohta,Determinant Structure of the Rational Solutions for the Painlev\'e IV Equation,Journal of Physics A: Mathematical and General,Vol. 31, 2431--2446,1998.03. |
Educational
Educational Activities
I have been in charge of mathematical courses of graduate school of
mathematics, department of mathematics, faculty of engineering, and
liberal arts programs. I also supervise students at seminars of
department of mathematics and graduate school of
mathematics. Moreover, I organize "Kyushu Integrable Systems Seminar"
to provide a chance for graduate students to get in touch with the
most recent researches.
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