Kenji Kajiwara

J-GLOBAL         Last updated: Apr 3, 2016 at 13:33
 
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Name
Kenji Kajiwara
E-mail
kajiimi.kyushu-u.ac.jp
Affiliation
Kyushu University
Section
Institute of Mathematics for Industry
Job title
Professor
Degree
Ph.D (Engineering)

Profile

Born in 1964. I am interested in the theory of integrable systems, in particular, Painlevé systems and discrete integrable systems.

Academic & Professional Experience

 
Apr 2011
 - 
Today
Professor, Institute of Mathematics for Industry,, Kyushu University
 
Jan 2009
 - 
Mar 2011
Professor, Faculty of Mathematics, Kyushu University
 
Oct 2001
 - 
Jan 2009
Associate Professor, Faculty of Mathematics, Kyushu University
 
Apr 1997
 - 
Sep 2001
Associate Professor, Department of Electrical Engineering, Doshisha University
 
Apr 1994
 - 
Mar 1997
Lecturer, Department of Electrical Engineering, Doshisha University
 

Published Papers

 
Sampei Hirose, Jun-ichi Inoguchi, Kenji Kajiwara, Nozomu Matsuura and Yasuhiro Ohta
arXiv:1509.08076      Nov 2015
arXiv version of the paper on MI Lecture Note.
Kenji Kajiwara, Toshinobu Kuroda and Nozomu Matsuura
Pacific Journal of Mathematics for Industry   8(1) 1-14   Mar 2016   [Refereed]
We study deformations of plane curves in the similarity geometry. It is known that continuous deformations of smooth curves are described by the Burgers hierarchy. In this paper, we formulate the discrete deformation of discrete plane curves descr...
Sampei Hirose, Jun-ichi Inoguchi, Kenji Kajiwara, Nozomu Matsuura and Yasuhiro Ohta
MI Lecture Note   64 93-102   Sep 2015   [Refereed]
The local induction equation, or the binormal flow on space curves is a well-known model of deformation of space curves as it describes the dynamics of vortex filaments, and the complex curvature is governed by the nonlinear Schödinger equation (N...
Kenji Kajiwara, Masatoshi Noumi and Yasuhiko Yamada
preprint, arXiv:1509.08186, to appear in J. Phys. A: Math. Theor. (2016)      Sep 2015
In this paper a comprehensive review is given on the current status of
achievements in the geometric aspects of the Painlevé equations, with a
particular emphasis on the discrete Painlevé equations. The theory is
controlled by the geometry of ...
J. Inoguchi, K. Kajiwara, N. Matsuura and Y. Ohta
J. Phys. A: Math. Theor.   47(23) 235202   May 2014
In this paper, we consider the discrete deformation of the discrete space curves with constant torsion described by the discrete mKdV or the discrete sine-Gordon equations, and show that it is formulated as the torsion-preserving equidistant defor...
Hisashi Ando, Mike Hay, Kenji Kajiwara, Tetsu Masuda
Funkcialaj Ekvacioj   57(1) 1-41   Apr 2014   [Refereed]
Kenji Kajiwara and Nobutaka Nakazono
International Mathematical Research Notices      Nov 2013   [Refereed]
We consider the symmetric q-Painlevé equations derived from the birational representation of affine Weyl groups by applying the projective reduction and construct the hypergeometric solutions. Moreover, we discuss continuous limits of the symmetr...
B.F. Feng, J. Inoguchi, K. Kajiwara, K. Maruno, Y. Ohta
Frontiers of Mathematics in China Frontiers of Mathematics in China   8(5) 1017-1029   Oct 2013   [Refereed]
Integrable discretizations of the complex and real Dym equations are proposed. N-soliton solutions for both semi-discrete and fully discrete analogues of the complex and real Dym equations are also presented.
Kenji Kajiwara and Saburo Kakei
Comment. Math. Univ. St. Pauli   64 29-45   May 2015   [Refereed]
A relation between the Goldstein-Petrich hierarchy for plane curves and the Toda lattice hierarchy is investigated. A representation formula for plane curves is given in terms of a special class of τ-functions of the Toda lattice hierarchy. A repr...
Semi-discrete analogues of the elastic beam equation and the short pulse equation
K. Maruno, B.F. Feng, J. Inoguchi, K. Kajiwara, Y. Ohta
Proceedings of 2013 International Symposium on Nonlinear Theory and its Applications   278-281   Sep 2013   [Refereed]
Two integrable nonlinear differential- difference systems, semi-discrete analogues of the Wadati-Konno-Ichikawa elastic beam equation and the short pulse equation, are constructed by using a geometric approach.

Misc

 
Discrete Model of Isoperimetric Deformations of Planar Discrete Curve and DIscrete Integrabls Systems
Kenji Kajiwara
MI Lecture Note "Mathematical Approaches to Research Topics in Science and Technology-Foundation and Development of Mathematical Modeling"   46 57-62   Mar 2013   [Invited]
Introduction to Integrable Systems
Kenji Kajiwara
MI Lecture Note "Tutorial on Discrete Integrable Systems and Discrete Differential Geometry 2012"   40 1-24   Mar 2012   [Invited]
Daisuke Takahashi,Kenji Kajiwara
   Mar 1999
We consider an integrability test for ultradiscrete equations based on the
singularity confinement analysis for discrete equations. We show how
singularity pattern of the test is transformed into that of ultradiscrete
equation. The ultradiscrete s...
Kenji Kajiwara, Yasuhiro Ohta, Junkichi Satsuma, Basil Grammaticos, Alfred Ramani
   Oct 1993
We present a class of solutions to the discrete Painlevé-II equation for
particular values of its parameters. It is shown that these solutions can be
expressed in terms of Casorati determinants whose entries are discrete Airy
functions. The anal...

Books etc

 
Tutorial on Discrete Integrable Systems and Discrete Differential Geometry 2012
Jun-ichi Inoguchi, Yasuhiro Ohta, Saburo Kakei, Kenji Kajiwara, Nozomu Matsuura (Part:Editor)
Institute of Mathemaics for Industry, Faculty of Mathematics, Kyushu University   Mar 2012   
岩波書店   Mar 2010   ISBN:4000052055
丸善   Mar 2005   ISBN:4621075292
中村 佳正, 渡辺 芳英, 西成 活裕, 松木平 淳太, 永井 敦, 辻本 諭, 佐々 成正, 梶原 健司
裳華房   Jun 2000   ISBN:4785315202

Research Grants & Projects

 
Development and Extension of Integrable Discrete Differential Geometry
JSPS: KAKENHI (Scientific Research (B))
Project Year: Apr 2016 - Mar 2020    Investigator(s): Kenji Kajiwara
Construction of Discrete-time Geometric Models Based on Discrete Differential Geometry
JSPS: KAKENHI (Challenging Exploratory Research)
Project Year: Apr 2016 - Mar 2018    Investigator(s): Kenji Kajiwara
Modeling for CG based on discrete integrable systems
Kobe Studio Seminar: 
Project Year: Jan 2016       Investigator(s): Kenji Kajiwara
The purpose of this project is to develop modelling technique for computer graphics based on
discrete integrable systems. The theory of discrete integrable systems provides skeletons of
dynamics of geometric objects such as discrete curves and di...

Committee Memberships

 
May 2012
 - 
Today
Japan Society for Industrial and Applied Mathematics  Board Member