Integrals of open 2D lattices

Details Integrals of open 2D lattices Integrals of open 2D lattices

2009-12-21

arxiv.org/abs/0912.4145v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

8 pages, Latex 2e

Scientific paper

We present an explicit formula for integrals of the open 2D Toda lattice of
type $A_n$. This formula is applicable for various reductions of this lattice.
To illustrate the concept we find integrals of the Toda $G_2$ lattice. We also
reveal a connection between the open Toda $A_n$ and Shabat-Yamilov lattices.

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