Geodesic
Darboux integrability of discrete two-dimensional Toda lattices
Teoretičeskaâ i matematičeskaâ fizika, Tome 182 (2015) no. 2, pp. 231-255

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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. 
@article{TMF_2015_182_2_a3,
     author = {S. V. Smirnov},
     title = {Darboux integrability of discrete two-dimensional {Toda} lattices},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {231--255},
     publisher = {mathdoc},
     volume = {182},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_182_2_a3/}
}
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S. V. Smirnov. Darboux integrability of discrete two-dimensional Toda lattices. Teoretičeskaâ i matematičeskaâ fizika, Tome 182 (2015) no. 2, pp. 231-255. http://geodesic.mathdoc.fr/item/TMF_2015_182_2_a3/