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nlin.SI2025
What is the symmetry group of a d- discrete Painlevé equation?
Anton Dzhamay, Yang Shi, Alexander Stokes +1
The symmetry group of a (discrete) Painlevé equation provides crucial information on the properties of the equation. In this paper we argue against the commonly-held belief that th…
nlin.SI2024
On real and imaginary roots of generalised Okamoto polynomials
Pieter Roffelsen, Alexander Stokes
Recently, B. Yang and J. Yang derived a family of rational solutions to the Sasa-Satsuma equation, and showed that any of its members constitutes a partial-rogue wave provided that…
nlin.SI2023
Deautonomisation by singularity confinement and degree growth
Alexander Stokes, Takafumi Mase, Ralph Willox +1
In this paper we give an explanation of a number of observations relating to degree growth of birational mappings of the plane and their deautonomisation by singularity confinement…