182 citations · 981 across the 48 of their papers we have counts for
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nlin.SI2009★ 5 cited
Bi-presymplectic chains of co-rank one and related Liouville integrable systems
Maciej Błaszak, Metin Gürses, Kostyantyn Zheltukhin
Bi-presymplectic chains of one-forms of co-rank one are considered. The conditions in which such chains represent some Liouville integrable systems and the conditions in which ther…
nlin.SI2009★ 7 cited
On Non-Commutative Integrable Burgers Equations
M. Gurses, A. Karasu, R. Turhan
We construct the recursion operators for the non-commutative Burgers equations using their Lax operators. We investigate the existence of any integrable mixed version of left- and…
nlin.SI2009★ 15 cited
Dynamical Systems and Poisson Structures
Metin Gurses, Gusein Sh. Guseinov, Kostyantyn Zheltukhin
We first consider the Hamiltonian formulation of systems in general and show that all dynamical systems in are bi-Hamiltonian. An algorithm is introduced to o…