54 citations · 777 across the 87 of their papers we have counts for
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On maximally superintegrable systems
A. V. Tsiganov
Locally any completely integrable system is maximally superintegrable system such as we have the necessary number of the action-angle variables. The main problem is the constructio…
The Poisson bracket compatible with the classical reflection equation algebra
A. V. Tsiganov
We introduce a family of compatible Poisson brackets on the space of polynomial matrices, which contains the reflection equation algebra bracket. Then we use it to deri…
New Lax pair for restricted multiple three wave interaction system, quasiperiodic solutions and bi-hamiltonian structure
N. A. Kostov, A. V. Tsiganov
We study restricted multiple three wave interaction system by the inverse scattering method. We develop the algebraic approach in terms of classical -matrix and give an interpre…
On bi-hamiltonian structure of some integrable systems on so*(4)
A. V. Tsiganov
We classify all the quadratic Poisson structures on and , which have the same foliation by symplectic leaves as the canonical Lie-Poisson tensors. The separated v…
On the two different bi-Hamiltonian structures for the Toda lattice
A V Tsiganov
We construct two different incompatible Poisson pencils for the Toda lattice by using known variables of separation proposed by Moser and by Sklyanin.