14 citations · 32 across the 5 of their papers we have counts for
5 papers
Construction and separability of nonlinear soliton integrable couplings
Maciej Blaszak, Blazej M. Szablikowski, Burcu Silindir
A very natural construction of integrable extensions of soliton systems is presented. The extension is made on the level of evolution equations by a modification of the algebra of…
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,…
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…
Integrable discrete systems on R and related dispersionless systems
Maciej Blaszak, Metin Gurses, Burcu Silindir +1
The general framework for integrable discrete systems on R in particular containing lattice soliton systems and their q-deformed analogues is presented. The concept of regular grai…
Integrable Equations on Time Scales
Metin Gurses, Gusein Sh. Guseinov, Burcu Silindir
Integrable systems are usually given in terms of functions of continuous variables (on ), functions of discrete variables (on ) and recently in terms of f…