This article is cited in 10 papers

Integrals of open two-dimensional lattices

D. K. Demskoi

Academia Sinica, Taipei, Taiwan

Abstract: We present an explicit formula for integrals of the open two-dimensional Toda lattice of type $A_n$. This formula is applicable for various reductions of this lattice. As an illustration, we find integrals of the $G_2$ Toda lattice. We also reveal a connection between the open $A_n$ Toda and Shabat–Yamilov lattices.

Keywords: integral, open two-dimensional Toda lattice.

Received: 10.08.2009

DOI: 10.4213/tmf6487

 English version: Theoretical and Mathematical Physics, 2010, 163:1, 466–471

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