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

Nalini Joshi, Nobutaka Nakazono, Yang Shi

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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 languageEnglish
Article number495201
Number of pages39
JournalJournal of Physics. A. Mathematical and Theoretical
Issue number49
Publication statusPublished - 14 Nov 2016
Externally publishedYes


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


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