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arXiv · 1502.02752

On an integrable system related to the relativistic Toda lattice -Bäcklund transformation and integrable discretization

Luc Vinet·Guo-Fu Yu·Ying-Nan Zhang
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Abstract

We study an integrable system related to the relativistic Toda lattice. The bilinear representation of this lattice is given and the Bäckulund transformation obtained. A fully discrete version is also introduced with its bilinear Bäcklund transformation and Lax pair. One-soliton solution of the discrete system is presented by use of Bäcklund transformation.

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Luc Vinet, Guo-Fu Yu, Ying-Nan Zhang. 2015-02-10. On an integrable system related to the relativistic Toda lattice -Bäcklund transformation and integrable discretization. https://arxiv.org/abs/1502.02752

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