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SIGMA 2 (2006), 093, 17 pages nlin.SI/0612060
https://doi.org/10.3842/SIGMA.2006.093
Contribution to the Vadim Kuznetsov Memorial Issue
On the One Class of Hyperbolic Systems
Vsevolod E. Adler and Alexey B. Shabat
L.D. Landau Institute for Theoretical Physics, 1A prosp. ak. Semenova, 142432 Chernogolovka, Russia
Received October 27, 2006; Published online December 27, 2006
Abstract
The classification problem is solved for some type of
nonlinear lattices. These lattices are closely related to the
lattices of Ruijsenaars-Toda type and define the Bäcklund
auto-transformations for the class of two-component hyperbolic
systems.
Key words:
hyperbolic systems; Bäcklund transformations; Ruijsenaars-Toda lattice; discrete Toda lattice.
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