1210.1744 (N. Bogolubov et al.)

On the description of Lax type integrable dynamical systems within the
Marsden-Weinstein reduction method and its relationship with the AKS-BK and
R-matrix approaches    [PDF]

N. Bogolubov, Ya. A. Prykarpatsky

An algebraic approach to constructing nonlinear Lax type integrable dynamical systems, based on the Marsden-Weinstein reduction method on canonically symplectic manifolds \ with group symmetry, is proposed. Its natural relationship with the well known Adler-Kostant-Souriau-Berezin-Kirillov method and the associated R-matrix method is analyzed.

View original: http://arxiv.org/abs/1210.1744