45 citations · 170 across the 29 of their papers we have counts for
3 papers · 1 filter
Stationary systems of the AKNS hierarchy
Maciej Błaszak, Krzysztof Marciniak, Błażej M. Szablikowski
In this article we investigate stationary systems of the AKNS hierarchy. We prove that all these systems are classical separable Stäckel systems. The explicit transformation from j…
Non-autonomous soliton hierarchies
Maciej Błaszak, Krzysztof Marciniak, Błażej M. Szablikowski
A formalism of systematic construction of integrable non-autonomous deformations of soliton hierarchies is presented. The theory is formulated as an initial value problem (IVP) for…
Algebraic curves as a source of separable multi-Hamiltonian systems
Maciej Blaszak, Krzysztof Marciniak
In this paper we systematically consider various ways of generating integrable and separable Hamiltonian systems in canonical and in non-canonical representations from algebraic cu…