Geodesic
Integrable two-dimensional ultra-Toda mappings and chains
Teoretičeskaâ i matematičeskaâ fizika, Tome 117 (1998) no. 1, pp. 107-122

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We introduce a new class of integrable two-dimensional mappings and chains. We explain how to construct hierarchies of $(1+2)$ integrable systems that are invariant under such discrete transformations. We obtain explicit expressions for soliton-type solutions in terms of the matrix elements of fundamental representations of semisimple algebras. 
@article{TMF_1998_117_1_a3,
     author = {A. N. Leznov},
     title = {Integrable two-dimensional {ultra-Toda} mappings and chains},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {107--122},
     publisher = {mathdoc},
     volume = {117},
     number = {1},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_117_1_a3/}
}
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A. N. Leznov. Integrable two-dimensional ultra-Toda mappings and chains. Teoretičeskaâ i matematičeskaâ fizika, Tome 117 (1998) no. 1, pp. 107-122. http://geodesic.mathdoc.fr/item/TMF_1998_117_1_a3/