54 citations · 777 across the 87 of their papers we have counts for
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nlin.SI2001★ 3 cited
Commutative Poisson subalgebras for the Sklyanin bracket and deformations of known integrable models
V. V. Sokolov, A. V. Tsiganov
A hierarchy of commutative Poisson subalgebras for the Sklyanin bracket is proposed. Each of the subalgebras provides a complete set of integrals in involution with respect to the…
nlin.SI2001★ 9 cited
On the Lax pairs for the generalized Kowalewski and Goryachev-Chaplygin tops
Vladimir V. Sokolov, Andrey V. Tsiganov
A polynomial deformation of the Kowalewski top is considered. This deformation includes as a degeneration a new integrable case for the Kirchhoff equations found recently by one of…