2 citations · 2 across the 2 of their papers we have counts for
2 papers
nlin.SI2026
Discrete equations from Bäcklund transformations of the fifth Painlevé equation
Peter A. Clarkson, Clare Dunning, Ben Mitchell
In this paper discrete equations are derived from Bäcklund transformations of the fifth Painlevé equation, including a new discrete equation which has ternary symmetry. There are t…
math-ph2025★ 2 cited
Special solutions of a discrete Painlevé equation for quantum minimal surfaces
Peter A. Clarkson, Anton Dzhamay, Andrew N. W. Hone +1
We consider solutions of a discrete Painlevé equation arising from a construction of quantum minimal surfaces by Arnlind, Hoppe and Kontsevich, and in earlier work of Cornalba and…