70 citations · 296 across the 22 of their papers we have counts for
3 papers · 1 filter
Bi-Hamiltonian structures for integrable systems on regular time scales
Blazej M. Szablikowski, Maciej Blaszak, Burcu Silindir
A construction of the bi-Hamiltonian structures for integrable systems on regular time scales is presented. The trace functional on an algebra of -pseudo-differential operators,…
Central extensions of cotangent universal hierarchy: (2+1)-dimensional bi-Hamiltonian systems
Artur Sergyeyev, Blazej M. Szablikowski
We introduce the cotangent universal hierarchy that extends the so-called universal hierarchy (as for the latter, see e.g. arXiv:nlin/0202008, arXiv:nlin/0312043 and arXiv:nlin/031…
R-matrix approach to integrable systems on time scales
Maciej Blaszak, Burcu Silindir, Blazej M. Szablikowski
A general unifying framework for integrable soliton-like systems on time scales is introduced. The -matrix formalism is applied to the algebra of -differential operators in t…