Kyushu University Academic Staff Educational and Research Activities Database
List Of Papers
Last modified date：2010.1.18
Kenji Kajiwara
Professor
Department of Mathematics
Faculty of Mathematics

Papers

1. Kenji Kajiwara and Yasuhiro Ohta,Bilinearization and Casorati determinant solutions to non-autonomous 1 + 1 dimensional discrete soliton equations,RIMS Kokyuroku Bessatsu ,2009.11.
2. 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.
3. 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.
4. 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.
5. Taro Hamamoto and Kenji Kajiwara,Hypergeometric solutions to the q-Painleve equation of type A_4^{(1)},Journal of Physics A: Mathematical and Theoretical,40巻，12509-12524,2007.10
http://stacks.iop.org/1751-8121/40/12509.
6. Kenji Kajiwara, Marta Mazzocco and Yasuhiro Ohta,A remark on the Hankel determinant formula for solutions of the Toda equation,Journal of Physics A: Mathematical and Theoretical,40巻，12661-12675,2007.10
http://stacks.iop.org/1751-8121/40/12661.
7. 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.
8. Nalini Joshi, Kenji Kajiwara and Marta Mazzocco,Generating function associated with the Hankel determinant formula for solutions of the Painleve IV equation,Funkcialaj Ekvacioj,49(3), 451-468,2006.12.
9. 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.
10. Hiromichi Goto and Kenji Kajiwara,Generating Function Related to the Okamoto Polynomials for the Painlev\'e IV Equation,Bulletin of the Australian Mathematical Society,Vol.71(3)(2005) 517-526,2005.08.
11. 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.
12. Kenji Kajiwara and Atsushi Mukaihira,Soliton Solutions for the Non-autonomous Discrete-time Toda Lattice
Equation,Journal of Physics A: Mathematical and General,Vol.38(28) (2005) 6363-6370,2005.06.
13. 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.
14. 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.
15. 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.
16. Kenji Kajiwara,On a q-Painleve III equation.II: rational solutions,Journal of Nonlinear Mathematical Physics,Vol.22 282-303,2003.08.
17. 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.
18. 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.
19. 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.
20. Kenji Kajiwara, Masatoshi Noumi and Yasuhiko Yamada,Discrete Dynamical Systems with W(A{(1)}{m-1} x A{(1)}_{n-1}) Symmetry,Letters in Mathematical Physics,Vol.60, 211-219,2002.06.
21. 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.
22. Tetsu Masuda, Yasuhiro Ohta and Kenji Kajiwara,A Determinant Formula for a Class of Rational Solutions of Painlev\'e V Equation,Nagoya Mathematical Journal,Vol. 168, 1-25.,2002.01.
23. 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.
24. 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.
25. Kenji Kajiwara, Ken-ichi Maruno and Masayuki Oikawa,Biliearization of Discrete Soliton Equations through the Singularity Confinement Test,Chaos, Solitons & Fractals,Vol.11, 33-40.,2000.03.
26. Ken-ichi Maruno, Kenji Kajiwara and Masayuki Oikawa,A Note on Integrable Systems Related to Discrete Time Toda Lattice,CRM Proceedings and Lecture Notes,Vol.25, 303-314,2000.01.
27. Kenji Kajiwara and Tetsu Masuda,On the Umemura Polynomials for the Painlev\'e III Equation,Physics Letters A,Vol.260, 462-467,1999.09.
28. Kenji Kajiwara and Tetsu Masuda,A Generalization of Determinant Formulae for the Solutions of Painlev\'e II and XXXIV Equations,Journal of Physics A: Mathematical and General,Vol. 32, 3763-3778,1999.05.
29. Daisuke Takahashi and Kenji Kajiwara,On the Integrability Test for Ultradiscrtete Equations,京都大学数理解析研究所講究録 1098「離散可積分系の応用数理」,1-13,1999.04.
30. Yoshimasa Nakamura, Kenji Kajiwara and Hironori Shiotani,On an Integrable Discretization of the Rayleigh Quatient Gradient System and the Power Method with the Optimal Shift,Journal of Computational and Applied Mathematics,Vol.96, 77-90,1998.09.
31. K. M. Tamizhmani, A. Ramani, B. Grammaticos and K. Kajiwara,Coalescense Cascades and Special Function Solutions for the Continuous and Discrete Painlev\'e Equation,Journal of Physics A: Mathematical and General,Vol.31, 5799--5810,1998.07.
32. Ken-ichi Maruno, Kenji Kajiwara and Masayuki Oikawa,Casorati Determinant Solutions for the Discrete Relativistic Toda Lattice Equation,Physics Letters A,Vol.241, 335-343.,1998.05.
33. 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.
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