Deformations of the Poisson brackets and the Kowalevski top
arXiv:1310.8032
Abstract
Deformations of the known polynomial Poisson pencils associated with the Kowalevski top are studied. As a result we find new variables of separation from the one of the Yehia systems and new bi-Hamiltonian description of the integrable deformation of the Kowalevski gyrostat in two fields proposed by Sokolov and Tsiganov.
12 pages, LaTeX with AMS fonts and xy-diagrams
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