I am a Postdoctoral Research Associate in integrable and near-integrable nonlinear systems at the University of Sydney. This position is supported by Prof. Nalini Joshi’s Georgina Sweet Australian Laureate Fellowship grant.
I have studied discrete Painlevé equations, especially their special solutions, reductions, Weyl group symmetries and so on. My current interests are the relations between ABS equations and discrete Painlevé equations, general solutions to discrete Painlevé equations and Lax pairs of discrete Painlevé equations.
Joshi, N. and Nakazono, N. (2016) Lax pairs of discrete Painleve equations: (A2+A1)(1) case. Proceedings of the Royal Society A. 472: 20160696.
Joshi, N., Nakazono, N.; Shi, Y. (2016) Lattice equations arising from discrete Painlevé systems II. A4(1) case. Journal of Physics A. Mathematical and Theoretical. 49: 495201.
Joshi, N., Nakazono, N.; Shi, Y. (2016) Reflection groups and discrete integrable systems. Journal of Integrable Systems, 1(1), 1-37.
Atkinson, J., Howes, P., Joshi, N. and Nakazono, N. (2016) Geometry of an elliptic-difference equation related to Q4. The Journal of the London Mathematical Society, 12: 763-784
Nakazono, N. (2016) Hypergeometric τ functions of the q-Painlevé Systems of types A4(1) and (A1+A’1)(1). Symmetry, Integrability and Geometry: Methods and Applications, 12: 051
Joshi, N., Nakazono, N. and Shi, Y. (2015) Lattice equations arising from discrete Painlevé systems. I. (A2+A1)(1) and (A1+A’1)(1) cases. Journal of Mathematical Physics, 56: 092705.
I gave a talk at the summer school of SIDE-X 2012, I invite you to download my lecture notes: On the affine Weyl group, τ-functions and special solutions of discrete Painlevé equations (pdf).
TRAVEL IN 2017
January/February: ANZAMP in Kiama, NSW
March: Elliptic Hypergeometric Functions in Combinatorics, Integrable Systems and Physics in Vienna, Austria.
Visiting Prof Claude Viallet at the Laboratoire de physique théorique et hautes énergies, Paris.
Attending The Tenth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory in Atlanta, USA.
nobua.n1222 [at] gmail.com