45 citations · 170 across the 29 of their papers we have counts for
3 papers · 1 filter
Systematic construction of non-autonomous Hamiltonian equations of Painlevé-type. III. Quantization
Maciej Błaszak, Krzysztof Marciniak
This is the third article in our series of articles exploring connections between dynamical systems of Stäckel-type and of Painlevé-type. In this article we present a method of def…
Stäckel representations of stationary KdV systems
Maciej Błaszak, Błażej M. Szablikowski, Krzysztof Marciniak
In this article we study Stäckel representations of stationary KdV systems. Using Lax formalism we prove that these systems have two different representations as separable Stäckel…
Systematic construction of non-autonomous Hamiltonian equations of Painlevé-type. II. Isomonodromic Lax representation
Maciej Błaszak, Ziemowit Domański, Krzysztof Marciniak
This is the second article in a suite of articles investigating relations between Stäckel-type systems and Painlevé-type systems. In this article we construct isomonodromic Lax rep…