3 papers
nlin.SI2024
The Painlevé equivalence problem for a constrained 3D system
Galina Filipuk, Michele Graffeo, Giorgio Gubbiotti +1
In this paper we propose a geometric approach to study Painlevé equations appearing as constrained systems of three first-order ordinary differential equations. We illustrate this…
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.SI2024
Delay Painlevé-I equation, associated polynomials and Masur-Veech volumes
John Gibbons, Alexander Stokes, Alexander P. Veselov
We study a delay-differential analogue of the first Painlevé equation obtained as a delay periodic reduction of Shabat's dressing chain. We construct formal entire solutions to thi…