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Closed dressing chains of D=1 and D=2 Toda lattice

A. V. Yurov
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Abstract

We apply the method of dressing chains to reproduction of Toda lattice in the case of D=1 and D=2. On the example of modified equations $m_0TL$ and $m_1TL$ it is shown that combination of the Darboux and Schlesinger transformations results in closed dressing chains.

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A. V. Yurov. 2003-09-23. Closed dressing chains of D=1 and D=2 Toda lattice. https://arxiv.org/abs/nlin/0309063

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