3 papers
nlin.SI2026
Vector peakon equations and isospectral flows in Clifford algebras
Andrew N. W. Hone, Vladimir S. Novikov, Jacek Szmigielski
Starting from a spectral problem posed in a Clifford algebra with generators and Euclidean signature, we study an integrable, coupled system of PDEs that can be viewed as a vec…
math-ph2025
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…
math.CA2025
Confluent Darboux transformations and Wronskians for algebraic solutions of the Painlevé III () equation
J. W. E. Harrow, A. N. W. Hone
We describe the use of confluent Darboux transformations for Schrödinger operators, and how they give rise to explicit Wronskian formulae for certain algebraic solutions of Painle…