Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 2 (2006), 097, 15 pages      nlin.SI/0701004      https://doi.org/10.3842/SIGMA.2006.097
Contribution to the Vadim Kuznetsov Memorial Issue

On the Darboux-Nijenhuis Variables for the Open Toda Lattice

Yuriy A. Grigoryev and Andrey V. Tsiganov
St.Petersburg State University, St.Petersburg, Russia

Received November 17, 2006; Published online December 30, 2006

Abstract
We discuss two known constructions proposed by Moser and by Sklyanin of the Darboux-Nijenhuis coordinates for the open Toda lattice.

Key words: bi-Hamiltonian systems; Toda lattice.

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