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arXiv · 0707.1950

Bäcklund Transformation for the BC-Type Toda Lattice

Vadim Kuznetsov·Evgeny Sklyanin
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Abstract

We study an integrable case of n-particle Toda lattice: open chain with boundary terms containing 4 parameters. For this model we construct a Bäcklund transformation and prove its basic properties: canonicity, commutativity and spectrality. The Bäcklund transformation can be also viewed as a discretized time dynamics. Two Lax matrices are used: of order 2 and of order 2n+2, which are mutually dual, sharing the same spectral curve.

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Vadim Kuznetsov, Evgeny Sklyanin. 2007-07-26. Bäcklund Transformation for the BC-Type Toda Lattice. https://doi.org/10.3842/sigma.2007.080

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