A.N.W. Hone

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20242026

most citedSpecial solutions of a discrete Painlevé equation for quantum minimal surfaces

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math.CA2025

Confluent Darboux transformations and Wronskians for algebraic solutions of the Painlevé III ( $D_{7}$ ) 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 Painlev…

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…

Confluent Darboux transformations and Wronskians for algebraic solutions of the Painlevé III (D7​) equation

Special solutions of a discrete Painlevé equation for quantum minimal surfaces

Confluent Darboux transformations and Wronskians for algebraic solutions of the Painlevé III ( $D_{7}$ ) equation