Integrals of open 2D lattices

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-Y...

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Veröffentlicht in:arXiv.org 2009-12
1. Verfasser: Demskoi, Dmitry K
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2331-8422