On the one class of the Toda chains
Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 3, pp. 323-334
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The main result of our paper is the list of integrable generalizations of the Toda lattice. Apart from known lattices this list contains three new examples. Each lattice from the list gives the Bäcklund transformation for some NLS type system.
@article{TMF_1997_111_3_a0,
author = {V. E. Adler and A. B. Shabat},
title = {On the one class of the {Toda} chains},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {323--334},
publisher = {mathdoc},
volume = {111},
number = {3},
year = {1997},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a0/}
}
V. E. Adler; A. B. Shabat. On the one class of the Toda chains. Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 3, pp. 323-334. http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a0/