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A Gentle (without Chopping) Approach to the Full Kostant–Toda Lattice
Symmetry, integrability and geometry: methods and applications, Tome 1 (2005) Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we propose a new algorithm for obtaining the rational integrals of the full Kostant–Toda lattice. This new approach is based on a reduction of a bi-Hamiltonian system on $gl(n,{\mathbb R})$. This system was obtained by reducing the space of maps from $Z_n$ to $GL(n,{\mathbb R})$ endowed with a structure of a pair of Lie-algebroids.
Keywords: full Kostant–Toda lattice; integrability; bi-Hamiltonian structure. 
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Pantelis A. Damianou; Franco Magri. A Gentle (without Chopping) Approach to the Full Kostant–Toda Lattice. Symmetry, integrability and geometry: methods and applications, Tome 1 (2005). http://geodesic.mathdoc.fr/item/SIGMA_2005_1_a9/

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