Nobutaka Nakazono

Higher-order generalizations of the $A_6^{(1)}$- and $A_4^{(1)}$-surface type $q$-Painlevé equations 

Physica Scripta, 98(11) 115204, Sep 29, 2023  

Discrete Painlevé transcendent solutions to the multiplicative-type discrete KdV equations 

Journal of Mathematical Physics, 63(4) 042703, Apr 22, 2022  Peer-reviewed

Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property 

Symmetry, Integrability and Geometry: Methods and Applications, 18, Apr 20, 2022  Peer-reviewed

Reduction of quad-equations consistent around a cuboctahedron I: Additive case 

Proceedings of the American Mathematical Society, Series B, 8(27) 320-335, Nov 5, 2021  Peer-reviewed

On the three‐dimensional consistency of Hirota's discrete Korteweg‐de Vries equation 

Studies in Applied Mathematics, 147(4) 1409-1424, Nov, 2021  Peer-reviewed

Discrete power functions on a hexagonal lattice I: derivation of defining equations from the symmetry of the Garnier system in two variables 

Journal of Physics A: Mathematical and Theoretical, 54(33) 335202, Aug 20, 2021  Peer-reviewed

Reduction of lattice equations to the Painlevé equations: P$_{\rm IV}$ and P$_{\rm V}$ 

JOURNAL OF MATHEMATICAL PHYSICS, 59(2), Feb, 2018  Peer-reviewed

Geometric description of discrete power function associated with the sixth Painlevé equation 

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 473(2207), Nov 1, 2017  Peer-reviewed

Elliptic Painlevé equations from next-nearest-neighbor translations on the $E_8^{(1)}$ lattice 

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 50(30), Jul 28, 2017  Peer-reviewed

Lattice equations arising from discrete Painlevé systems. II. $A_4^{(1)}$ case 

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 49(49), Dec 9, 2016  Peer-reviewed

Lax pairs of discrete Painlevé equations: $(A_2+A_1)^{(1)}$ case 

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 472(2196), Dec 1, 2016  Peer-reviewed

Geometry of an elliptic difference equation related to Q4 

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 93 763-784, Jun, 2016  Peer-reviewed

Hypergeometric $\tau$ functions of the $q$-Painlevé Systems of Types $A_4^{(1)}$ and $(A_1+A_1')^{(1)}$ 

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 12, 2016  Peer-reviewed

Lattice equations arising from discrete Painlevé systems. {I}. $(A_2 + A_1)^{(1)}$ and $(A_1 + A_1')^{(1)}$ cases 

JOURNAL OF MATHEMATICAL PHYSICS, 56(9), Sep, 2015  Peer-reviewed

A systematic approach to reductions of type-Q ABS equations 

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 48(9), Mar 6, 2015  Peer-reviewed

Hypergeometric solutions to the symmetric $q$-Painlevé equations 

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, (4) 1101-1140, 2015  Peer-reviewed

Geometric Reductions of ABS equations on an $n$-cube to discrete Painlevé systems 

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 47(50), Dec 19, 2014  Peer-reviewed

Hypergeometric Solutions of the $A_4^{(1)}$-Surface $q$-Painlevé IV Equation 

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 10, 2014  Peer-reviewed