3 papers
nlin.SI2026
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…
nlin.SI2024
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…
nlin.SI2019
Bi-Hamiltonian Systems in (2+1) and Higher Dimensions Defined by Novikov Algebras
Błażej M. Szablikowski
The results from the article [Strachan I.A.B., Szablikowski B.M., Stud. Appl. Math. 133 (2014), 84-117] are extended over consideration of central extensions allowing the introduci…