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.
Citation:
S. V. Smirnov, “Darboux integrability of discrete two-dimensional Toda lattices”, TMF, 182:2 (2015), 231–255; Theoret. and Math. Phys., 182:2 (2015), 189–210