This article is cited in 3 papers

On the One Class of Hyperbolic Systems

Vsevolod E. Adler, Alexey B. Shabat

L. D. Landau Institute for Theoretical Physics, 1A prosp. ak. Semenova, 142432 Chernogolovka, Russia

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.

Keywords: hyperbolic systems; Bäcklund transformations; Ruijsenaars–Toda lattice; discrete Toda lattice.

MSC: 35L75; 35Q55; 37K10; 37K35

Received: October 27, 2006; Published online December 27, 2006

Language: English

DOI: 10.3842/SIGMA.2006.093

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ArXiv: nlin.SI/0612060