English

On the One Class of Hyperbolic Systems

Exactly Solvable and Integrable Systems 2008-04-24 v1 Mathematical Physics math.MP

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 Backlund auto-transformations for the class of two-component hyperbolic systems.

Keywords

Cite

@article{arxiv.nlin/0612060,
  title  = {On the One Class of Hyperbolic Systems},
  author = {Vsevolod E. Adler and Alexey B. Shabat},
  journal= {arXiv preprint arXiv:nlin/0612060},
  year   = {2008}
}

Comments

This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

R2 v1 2026-07-22T18:16:31.370Z