70 citations · 573 across the 66 of their papers we have counts for
67 papers
From pencils of Novikov algebras of Stäckel type to soliton hierarchies
Maciej Błaszak, Krzysztof Marciniak, Błażej M. Szablikowski
In this article we construct evolutionary soliton hierarchies from pencils of Novikov algebras of Stäckel type. We start by defining a special class of associative Novikov algebras…
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…
Miura maps for Stäckel systems
Krzysztof Marciniak, Maciej Błaszak
We introduce the concept of Miura maps between parameter-dependent algebraic curves of hyperelliptic type. These Miura maps induce Miura maps between Stäckel systems defined (on th…
Stationary coupled KdV systems and their Stäckel representations
Błażej M. Szablikowski, Maciej Błaszak, Krzysztof Marciniak
In this article we investigate stationary cKdV systems and prove that every -field stationary cKdV system can be written, after a careful reparametrization of jet variables, as…