2 papers
nlin.SI2026
A non-commutative discrete first Painlevé hierarchy: the Lax pair approach
Irina Bobrova
Using a non-commutative analogue of the isomonodromic problem associated with the discrete first Painlevé hierarchy, we construct a non-commutative version of this hierarchy, denot…
nlin.SI2020
The Sigma Form for the PII Hierarchy
Irina Bobrova, Marta Mazzocco
In this paper we study the so-called sigma form of the second Painlevé hierarchy. To obtain this form, we use some properties of the Hamiltonian structure of the second Painlevé hi…