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Finite-dimensional reductions of the discrete Toda chain

T. G. Kazakova
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Abstract

The problem of construction of integrable boundary conditions for the discrete Toda chain is considered. The restricted chains for properly chosen closure conditions are reduced to the well known discrete Painlevé equations $dP_{III}$, $dP_{V}$, $dP_{VI}$. Lax representations for these discrete Painlevé equations are found.

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T. G. Kazakova. 2004-03-10. Finite-dimensional reductions of the discrete Toda chain. https://doi.org/10.1088/0305-4470%2F37%2F33%2F008

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