Research keywords (5):
orthogonal polynomials
, delay-differential Painlevé equations
, discrete Painlevé equations
, Painlevé equations
, integrable systems
Papers (13):
J. Gibbons, A. Stokes, A.P. Veselov. Delay Painlevé-I equation, associated polynomials and Masur-Veech volumes. Journal of Geometry and Physics. 2024
Galina Filipuk, Alexander Stokes. Orbifold Hamiltonian Structures of Certain Quasi-Painlevé Equations. Journal of Dynamics and Differential Equations. 2024
Anton Dzhamay, Galina Filipuk, Adam Ligȩza, Alexander Stokes. Different Hamiltonians for differential Painlevé equations and their identification using a geometric approach. Journal of Differential Equations. 2024. 399. 281-334
Galina Filipuk, Adam Ligęza, Alexander Stokes. Relations between different Hamiltonian forms of the third Painlevé equation. AMS Contemporary Mathematics. 2023. 782. 37-42
Galina Filipuk, Alexander Stokes. On Hamiltonian structures of quasi-Painlevé equations. Journal of Physics A: Mathematical and Theoretical. 2023. 56. 49. 495205
Geometry of a four-dimensional multiplicative integrable mapping and associated fourth-order discrete Painlevé equations
(Research meeting "From Nonlinear Waves to Integrable Systems 2024" 2024)
Geometry of a QRT-type mapping in four dimensions and associated q-discrete Painlevé equations
(Discrete Integrable Systems: Difference Equations, Cluster Algebras and Probabilistic Models 2024)
Deautonomisation of integrable mappings and degree growth
(Elliptic Integrable Systems and Related Topics: Advanced Seminars (Shanghai University) 2024)
Geometric aspects of delay-differential Painlevé equations
(CNRS-Tokyo Workshop on 'Geometric Aspects of Painlevé Equations and Related Topics' 2024)
Roots of generalised Okamoto polynomials and partial-rogue waves in the Sasa-Satsuma equation
(Algebraic and Geometric Aspects of Differential and Difference Equations (University of Portsmouth) 2024)