N. Nakazono

collaborators

3 papers

nlin.SI2026

Special solutions to five autonomous integrable partial difference equations via the third and sixth PainlevÃ© equations and the Garnier system in two variables

Nobutaka Nakazono

In this paper, we study special solutions of five autonomous integrable partial difference equations (P $I^$ Es). More precisely, we show that these P $I^$ Es admit special solutions t…

nlin.SI2026

Solutions to an autonomous discrete KdV equation via PainlevÃ©-type ordinary difference equations

Nobutaka Nakazono

Hirota's discrete KdV equation is a well-known integrable two-dimensional partial difference equation regarded as a discrete analogue of the KdV equation. In this paper, we show th…

nlin.SI2024

A higher-order generalization of an $A_{4}^{(1)}$ -surface type $q$ -PainlevÃ© equation with $W ((A_{2 N} ⋊ A_{1})^{(1)} \times A_{1}^{(1)})$ symmetry

Nobutaka Nakazono

Recently, a birational representation of an extended affine Weyl group of $(A_{2 N} ⋊ A_{1})^{(1)}$ -type, which gives a higher-order generalization of an $A_{4}^{(1)}$ -surface type…

Special solutions to five autonomous integrable partial difference equations via the third and sixth PainlevÃ© equations and the Garnier system in two variables

Solutions to an autonomous discrete KdV equation via PainlevÃ©-type ordinary difference equations

A higher-order generalization of an A4(1)​-surface type q-PainlevÃ© equation with W((A2N​⋊A1​)(1)×A1(1)​) symmetry

A higher-order generalization of an $A_{4}^{(1)}$ -surface type $q$ -PainlevÃ© equation with $W ((A_{2 N} ⋊ A_{1})^{(1)} \times A_{1}^{(1)})$ symmetry