Poisson Lie groups and Hamiltonian theory of the Yang-Baxter maps

Abstract

We show how the theory of Poisson Lie groups can be used to establish the Poisson properties of the Yang-Baxter maps and related transfer dynamics. As an example we present the Hamiltonian structure for the matrix KdV soliton interaction.

9 pages. Slightly revised version, two references added

Cited by in corpus (1)

• Yang-Baxter maps: dynamical point of view