Saburo Kakei

Profile Information

Affiliation: Professor, College of Science Department of Mathematics, Rikkyo University
: 教授, 数学専攻博士課程前期課程, 理学研究科
: Professor, Field of Study: Mathematics, Graduate School of Science

Degree: 博士（工学）(東京大学)

Researcher number: 60318798
J-GLOBAL ID: 201001022656210799
researchmap Member ID: 1000363419

External link: http://www.rkmath.rikkyo.ac.jp/~kakei/

Research Interests

Research Areas

Research History

Apr, 2010 - Present

Professor, Graduate School of Science Field of Study: Mathematics, RIKKYO UNIVERSITY
Apr, 2010 - Present

Professor, Graduate School of Science Field of Study: Mathematics, RIKKYO UNIVERSITY
Apr, 2010 - Present

Professor, College of Science Department of Mathematics, RIKKYO UNIVERSITY
Apr, 2007 - Mar, 2010

Associate Professor, College of Science Department of Mathematics, RIKKYO UNIVERSITY
Apr, 2003 - Mar, 2007

Associate Professor (as old post name), College of Science Department of Mathematics, RIKKYO UNIVERSITY
Apr, 2001 - Mar, 2003

Lecturer, College of Science Department of Mathematics, RIKKYO UNIVERSITY
Apr, 1999 - Mar, 2001

School of Science and Engineering, Waseda University
Apr, 1998 - Mar, 1999

日本学術振興会特別研究員, 日本学術振興会
Apr, 1995 - Mar, 1998

Graduate School of Mathematical Sciences, The University of Tokyo

Education

Apr, 1992 - Mar, 1995

Department of Applied Physics, The Graduate School of Engineering, The University of Tokyo
Apr, 1990 - Mar, 1992

Department of Applied Physics, The Graduate School of Engineering, The University of Tokyo
Apr, 1988 - Mar, 1990

Department of Applied Physics, Faculty of Engineering, The University of Tokyo

Committee Memberships

Major Papers

Toda lattice hierarchy and soliton equations on square lattice

Saburo Kakei

Journal of Physics A: Mathematical and Theoretical, 54(7) 074001-074001, Feb 19, 2021 Peer-reviewed
Linearization of the box-ball system: an elementary approach

S. Kakei, J.J.C. Nimmo, S. Tsujimoto, R. Willox

Journal of Integrable Systems, 3 1-32, 2018 Peer-reviewed
Toda lattice hierarchy and Goldstein-Petrich flows for plane curves

Kenji Kajiwara, Saburo Kakei

Comment. Math. Univ. St. Pauli, 64(1) 29-45, May, 2015 Peer-reviewed
The sixth Painleve equation as similarity reduction of (gl)over-cap(3) generalized Drinfel'd-Sokolov hierarchy

Saburo Kakei, Tetsuya Kikuchi

LETTERS IN MATHEMATICAL PHYSICS, 79(3) 221-234, Mar, 2007 Peer-reviewed
A q-analogue of gl₃ hierarchy and q-Painlevé VI (共著)

Saburo Kakei, Tetsuya Kikuchi

Journal of Physics A: Mathematical and General, 39(39) 12179-12190, Sep 29, 2006 Peer-reviewed
Affine lie group approach to a derivative nonlinear Schrodinger equation and its similarity reduction

S Kakei, T Kikuchi

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2004(78) 4181-4209, 2004 Peer-reviewed
Hierarchy of (2+1)-dimensional nonlinear Schrodinger equation, self-dual Yang-Mills equation, and toroidal Lie algebras

S Kakei, T Ikeda, K Takasaki

ANNALES HENRI POINCARE, 3(5) 817-845, 2002 Peer-reviewed
Orthogonal and symplectic matrix integrals and coupled KP hierarchy

S Kakei

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 68(9) 2875-2877, Sep, 1999 Peer-reviewed
Intertwining operators for a degenerate double affine Hecke algebra and multivariable orthogonal polynomials

S Kakei

JOURNAL OF MATHEMATICAL PHYSICS, 39(9) 4993-5006, Sep, 1998 Peer-reviewed
Common algebraic structure for the Calogero-Sutherland models

Saburo Kakei

Jornal of Physics A: Mathematical and General, 29(24) L619-L624, Dec 21, 1996 Peer-reviewed
BILINEARIZATION OF A GENERALIZED DERIVATIVE NONLINEAR SCHRODINGER-EQUATION

S KAKEI, N SASA, J SATSUMA

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 64(5) 1519-1523, May, 1995 Peer-reviewed

Misc.

高校の微積分から大学の微積分へ／“悪魔の階段” にまつわるあれこれ

筧三郎

数学セミナー, 62(5) 6-11, Apr, 2023
線形代数の持つ力

筧三郎

数学セミナー, 60(4) 12-17, Mar, 2021 Invited
“1/6公式” から超幾何関数へ

筧三郎

数学セミナー, 56(4) 36, Mar, 2017
Dynamics of discrete curves and discrete integrable systems

Kenji Kajiwara, Hiromasa Mitani, Saburo Kakei

1, Feb, 2013
線形性とは? (特集微分積分・線形代数を深く学ぼう)

筧三郎

数学セミナー, 48(6) 8-11, Jun, 2009
Yang-Baxter maps from the discrete KP hierarchy (Recent Trends in Integrable Systems)

Kakei Saburo, Willox Ralph, Nimmo Jonathan J.C.

RIMS Kokyuroku, 1650 162-172, May, 2009
座談会戸田格子40年の軌跡 (特集戸田格子40年)

薩摩順吉, 井ノ口順一, 筧三郎

数学セミナー, 47(3) 30-36, Mar, 2008
連続性

筧三郎

数学セミナー, 46(6) 26-30, Jun 1, 2007
Random matrices and integrable systems

Saburo Kakei

Mathematical Sciences, (524) 24-29, Feb 1, 2007
ベクトルとベクトル空間

筧三郎

数学セミナー, 45(4) 27-31, Apr 1, 2006
運動方程式からの微分積分

筧三郎

数学セミナー, 44(4) 26-29, Apr 1, 2005
可積分系という「おもちゃ」

筧三郎

数学セミナー, 42(4) 47-49, Apr 1, 2003
Quantum Calogero models

Saburo Kakei

Mathematical Sciences, (405) 54-59, Mar 1, 1997
4p-A-6 Bilinear Structure of a Generalized Nonlinear Schrodinger Equation

KAKEI Saburo, SASA Narimasa, SATSUMA Junkichi

Abstracts of the meeting of the Physical Society of Japan. Sectional meeting, 1994(4) 95-95, Aug 16, 1994
30a-Z-14 Coupled System of Nonlinear Schrodinger Equation and Self-Induced Transparency Equation

Kakei Saburo, Satsuma Junkichi

Abstracts of the meeting of the Physical Society of Japan. Annual meeting, 48(4) 80-80, Mar 16, 1993
28a-G-7 Soliton equations related to 3-component KP hierarchy

Kakei Saburo, Satsuma Junkichi

1992(4) 101-101, Sep 14, 1992
30a-ZD-8 超対称ソリトン方程式について

筧三郎, 薩摩順吉

年会講演予稿集, 47(4) 111-111, Mar 12, 1992

Books and Other Publications

Vector Analysis

Saburo Kakei, Gen Yoneda (Role: Joint author)

Aug, 2018 (ISBN: 4781914268)
Various aspects of nonlinear mathematical models : continuous, discrete, ultra-discrete, and beyond

Mar, 2015
Applied Mathematics Handbook

(Role: Contributor, KP hierarchy)

Oct, 2013 (ISBN: 9784254111415)
Handbook of Self-Organization

(Role: Contributor)

Nov, 2009 (ISBN: 9784860432645)
理工系のための解く! 線形代数

筧三郎, 西成活裕 (Role: Joint author)

講談社サイエンティフィク, Nov 16, 2007 (ISBN: 406155767X)
この数学書がおもしろい

数学書房編集 (Role: Contributor, 具体例へのこだわり)

数学書房, Mar, 2006
数学ガイダンス hyper

数学セミナー編集部 (Role: Contributor, hyper鼎談；数学を学ぶ心構え、数学の勉強法)

日本評論社, Mar, 2005
応用数学ハンドブック

藤原毅夫, 平尾公彦, 久田俊明, 広瀬啓吉 (Role: Contributor, 線形代数)

丸善, Mar, 2005 (ISBN: 4621075292)
工科系線形代数

筧三郎

数理工学社, Oct, 2002 (ISBN: 4901683020)

Research Projects

KP階層のさまざまな拡張と諸分野への応用

科学研究費助成事業基盤研究(C), 基盤研究(C), 日本学術振興会, Apr, 2023 - Mar, 2028

筧三郎
可積分系の離散的方法を基盤とした非線形波動解析のための計算アルゴリズムの開発

科学研究費助成事業, 基盤研究(C), 日本学術振興会, Apr, 2018 - Mar, 2023

丸野健一, 太田泰広, 筧三郎
諸分野に現れるタウ関数の構造

科学研究費助成事業基盤研究(C), 基盤研究(C), 日本学術振興会, Apr, 2016 - Mar, 2023

筧三郎
Construction of time discrete geometric models based on discrete differential geometry

Grants-in-Aid for Scientific Research, Grant-in-Aid for Challenging Exploratory Research, Japan Society for the Promotion of Science, Apr, 2016 - Mar, 2018

Kajiwara Kenji, MARUNO Ken-ichi, KAKEI Saburo, HIROSE Sampei, Broadbridge Philip
Extension of special functions from the viewpoint of integrable systems

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2011 - Mar, 2016

KAKEI Saburo, SAITO Yoshihisa, WILLOX Ralph
古典可積分系と量子可積分系の接点の探求

科学研究費助成事業, 基盤研究(C), 日本学術振興会, Apr, 2007 - Mar, 2010
可積分系における楕円ワイル群対称性

科学研究費助成事業, 若手研究(B), 日本学術振興会, Apr, 2004 - Mar, 2007
A quasi-triangular structure in Kashiwara-Miwa model

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2005 - 2007

YAMADA Yuji, SHIRAISHI Junichi, KAKEI Saboro
Mordell-Weil Lattices and Cycles on Algebraic Surfaces

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2005 - 2007

SHIODA Tetsuji, AOKI Noboru, KAKEI Saburo
Relation between automorphic forms and zeta functions associated with prehomogeneous vector spaces

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2004 - 2007

SATO Fumihiro, HIGA Tatsuo, KAKEI Saburo, IBUKIYAMA Tomoyoshi, HIRONAKA Yumiko, KIMURA Tatsuo
高次元における非線形可積分系の構造

科学研究費助成事業, 若手研究(B), 日本学術振興会, Apr, 2002 - Mar, 2004
パフィアン型ソリトン方程式の構造と諸分野への応用

科学研究費助成事業, 奨励研究A, 日本学術振興会, Apr, 2000 - Mar, 2002
擬リーマン対称空間上の数論的解析学

科学研究費助成事業, 萌芽研究, 日本学術振興会, 2001 - 2002

佐藤文廣, 宇澤達, 筧三郎, 荒川恒男, 落合啓之
Applicaticns of Ultradiscretization Method

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 1999 - 2002

TAKAHASHI Daisuke, SHINZAWA Nobuhiko, NISHINARI Katsuhiro, MATSUKIDAIRA Junta
Faddeev-Hopf結び目の研究

科学研究費助成事業, 萌芽的研究, 日本学術振興会, 2000 - 2001

村上斉, 本間泰史, 落合啓之, 牛島顕, 鈴木達夫, 筧三郎
量子可積分系と多変数直交多項式

受託研究（一般受託研究）, 早稲田大学, Apr, 1999 - Mar, 2000
量子可積分系の代数的構造の究明と物理的情報の抽出

科学研究費助成事業特別研究員奨励費, 特別研究員奨励費, 日本学術振興会, 1998 - 1998

筧三郎
Theory of Integrable Systems and Its Application
可積分系の理論とその応用

Profile Information

Research Interests

Research Areas

Research History

Education

Committee Memberships

Major Papers

Misc.

Books and Other Publications

Research Projects

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Coauthors