2 papers
nlin.SI2002
Rational solutions to the Pfaff lattice and Jack polynomials
Mark Adler, Vadim B. Kuznetsov, Pierre van Moerbeke
The finite Pfaff lattice is given by commuting Lax pairs involving a finite matrix L (zero above the first subdiagonal) and a projection onto Sp(N). The lattice admits solutions su…
nlin.SI2001
Kowalevski top revisited
Vadim B. Kuznetsov
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 interpre…