Relativistic Toda chain at root of unity III. Relativistic Toda chain hierarchy

S. Pakuliak; S. Sergeev

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Relativistic Toda chain at root of unity III. Relativistic Toda chain hierarchy

S. Pakuliak·S. Sergeev

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Abstract

The hierarchy of the classical nonlinear integrable equations associated with relativistic Toda chain model is considered. It is formulated for the N-th powers of the quantum operators of the corresponding quantum integrable models. Following the ideas of the paper hep-th/9606144 it is shown how one can obtain such a system from 2D Toda lattice system. The reduction procedure is described explicitly. The soliton solutions for the relativistic Toda chain are constructed using results of solv-int/9304002 in terms of the rational tau-functions. The vanishing properties of these tau-functions are investigated.

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BibTeX RIS

S. Pakuliak, S. Sergeev. 2001-08-08. Relativistic Toda chain at root of unity III. Relativistic Toda chain hierarchy. https://arxiv.org/abs/nlin/0107063

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