Integrals of open 2D lattices
classification
🌊 nlin.SI
keywords
integralslatticeopentodaformulalatticesapplicableconcept
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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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