This article is cited in 26 papers

Darboux integrability of discrete two-dimensional Toda lattices

S. V. Smirnov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We prove the Darboux integrability of semidiscrete and discrete two-dimensional Toda lattices corresponding to simple Lie algebras of the $A$ and $C$ series.

Keywords: discrete Toda lattice, discrete exponential system, Darboux integrability, integral along characteristics.

Received: 21.07.2014

DOI: 10.4213/tmf8772

 English version: Theoretical and Mathematical Physics, 2015, 182:2, 189–210

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