Research keywords (8):
Discrete soliton equation
, Discrete Painlevé equation
, Lax formalism
, τ function
, Integrability
, Discrete Integrable Systems
, Integrable Systems
, Mathematics
Research theme for competitive and other funds (4):
2023 - 2028 立方体の周りの整合性の理論を用いた可積分な2次元偏差分方程式の研究
2019 - 2024 離散可積分系の背後にある幾何学的構造の解明
2017 - 2020 格子の理論を用いた可積分な微差分方程式の解の性質とその応用に関する研究
2010 - 2013 パンルヴェ系の理論の深化とその応用
Papers (23):
Nobutaka Nakazono. Higher-order generalizations of the $A_6^{(1)}$- and $A_4^{(1)}$-surface type $q$-Painlev\'e equations. Physica Scripta. 2023. 98. 11. 115204
Nobutaka Nakazono. Consistency around a cube property of Hirota's discrete KdV equation and the lattice sine-Gordon equation. Applied Numerical Mathematics. 2023
Nobutaka Nakazono. Discrete Painlevé transcendent solutions to the multiplicative-type discrete KdV equations. Journal of Mathematical Physics. 2022. 63. 4. 042703
Nobutaka Nakazono. Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property. Symmetry, Integrability and Geometry: Methods and Applications. 2022. 18
Nalini Joshi, Nobutaka Nakazono. Reduction of quad-equations consistent around a cuboctahedron I: Additive case. Proceedings of the American Mathematical Society, Series B. 2021. 8. 27. 320-335
Nalini Joshi, Nobutaka Nakazono. A review of elliptic difference Painlev\'e equations. Nonlinear Systems and Their Remarkable Mathematical Structures: Volume 2. 2019
Nobutaka Nakazono, Yang Shi, Masataka Kanki. Continuous, Discrete and Ultradiscrete Painlev\'e Equations. Symmetries and Integrability of Difference Equations. 2017. 1-41
Professional career (3):
Bachelor's Degree (Kyushu University)
Master's Degree (Kyushu University)
Doctor's Degree (Kyushu University)
Work history (1):
2019/06 - 現在 Tokyo University of Agriculture and Technology Institute of Engineering, Division of Mathematical Science Senior Assistant Professor
Awards (1):
2017 - Journal of Physics A Journal of Physics A Highlights of 2016 collection Lattice equations arising from discrete Painlev\'e systems. II. $A_4^{(1)}$ case