Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2001-10-08
Nonlinear Sciences
Exactly Solvable and Integrable Systems
18 pages, corrected a typo in the formulas (69)
Scientific paper
We review the separation of variables for the Kowalevski top and for its generalization to the algebra o(4). We notice that the corresponding separation equations allow an interpretation of the Kowalevski top as a B2 integrable lattice. Consequently, we apply the quadratic r-matrix formalism to construct a new 2x2 Lax matrix for the top, which is responsible for its separation of variables.
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