Lattice equations arising from discrete Painlevé systems: II. A4(1)  case

Nalini Joshi; Nobutaka Nakazono; Yang Shi

doi:10.1088/1751-8113/49/49/495201

Lattice equations arising from discrete Painlevé systems: II. A₄⁽¹⁾ case

Nalini Joshi
, Nobutaka Nakazono
, Yang Shi

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

In this paper, we construct two lattices from the τ functions of -surface q-Painlevé equations, on which quad-equations of ABS type appear. Moreover, using the reduced hypercube structure, we obtain the Lax pairs of the A₄(1)-surface q-Painlevé equations.

Original language	English
Article number	495201
Number of pages	39
Journal	Journal of Physics. A: Mathematical and Theoretical
Volume	49
Issue number	49
DOIs	https://doi.org/10.1088/1751-8113/49/49/495201
Publication status	Published - 14 Nov 2016
Externally published	Yes

Keywords

ABS equation
affine Weyl group
discrete Painleve equation
Lax pair
τ function

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10.1088/1751-8113/49/49/495201Licence: In Copyright

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title = "Lattice equations arising from discrete Painlev{\'e} systems: II. A4(1) case",

abstract = "In this paper, we construct two lattices from the τ functions of -surface q-Painlev{\'e} equations, on which quad-equations of ABS type appear. Moreover, using the reduced hypercube structure, we obtain the Lax pairs of the A4(1)-surface q-Painlev{\'e} equations.",

keywords = "ABS equation, affine Weyl group, discrete Painleve equation, Lax pair, τ function",

author = "Nalini Joshi and Nobutaka Nakazono and Yang Shi",

year = "2016",

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doi = "10.1088/1751-8113/49/49/495201",

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journal = "Journal of Physics. A: Mathematical and Theoretical",

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T1 - Lattice equations arising from discrete Painlevé systems

T2 - II. A4(1) case

AU - Joshi, Nalini

AU - Nakazono, Nobutaka

AU - Shi, Yang

PY - 2016/11/14

Y1 - 2016/11/14

N2 - In this paper, we construct two lattices from the τ functions of -surface q-Painlevé equations, on which quad-equations of ABS type appear. Moreover, using the reduced hypercube structure, we obtain the Lax pairs of the A4(1)-surface q-Painlevé equations.

AB - In this paper, we construct two lattices from the τ functions of -surface q-Painlevé equations, on which quad-equations of ABS type appear. Moreover, using the reduced hypercube structure, we obtain the Lax pairs of the A4(1)-surface q-Painlevé equations.

KW - ABS equation

KW - affine Weyl group

KW - discrete Painleve equation

KW - Lax pair

KW - τ function

UR - https://www.scopus.com/pages/publications/84999683606

U2 - 10.1088/1751-8113/49/49/495201

DO - 10.1088/1751-8113/49/49/495201

M3 - Article

SN - 1751-8113

VL - 49

JO - Journal of Physics. A: Mathematical and Theoretical

JF - Journal of Physics. A: Mathematical and Theoretical

IS - 49

M1 - 495201

ER -

Lattice equations arising from discrete Painlevé systems: II. A₄⁽¹⁾ case

Abstract

Keywords

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