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  1. 1 Open Physics

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  1. 1 2013

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  1. 1 Choudhury A.

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Bäcklund transformation for the first flows of the relativistic Toda hierarchy and associated properties

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Choudhury A.
Open Physics
|
2013
|
vol. 11
|
issue 1
49-58
EN
In this communication we study a class of one parameter dependent auto-Bäcklund transformations for the first flow of the relativistic Toda lattice and also a variant of the usual Toda lattice equation. It is shown that starting from the Hamiltonian formalism such transformations are canonical in nature with a well defined generating function. The notion of spectrality is also analyzed and the separation variables are explicitly constructed.
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