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This article is cited in 27 scientific papers (total in 27 papers)
On the one class of the Toda chains
V. E. Adlera, A. B. Shabatb a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Abstract:
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.
Received: 04.03.1997
Citation:
V. E. Adler, A. B. Shabat, “On the one class of the Toda chains”, TMF, 111:3 (1997), 323–334; Theoret. and Math. Phys., 111:3 (1997), 647–657
Linking options:
https://www.mathnet.ru/eng/tmf1011https://doi.org/10.4213/tmf1011 https://www.mathnet.ru/eng/tmf/v111/i3/p323
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