4 papers
From pencils of Novikov algebras of Stäckel type to soliton hierarchies
Maciej BÅaszak, Krzysztof Marciniak, BÅażej 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 algebra…
Stationary systems of the AKNS hierarchy
Maciej BÅaszak, Krzysztof Marciniak, BÅażej 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…
Non-autonomous soliton hierarchies
Maciej BÅaszak, Krzysztof Marciniak, BÅażej 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…
Stationary coupled KdV systems and their Stäckel representations
BÅażej M. Szablikowski, Maciej BÅaszak, 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…