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This article is cited in 5 scientific papers (total in 5 papers)
Integrable two-dimensional ultra-Toda mappings and chains
A. N. Leznov Institute for High Energy Physics
Abstract:
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.
Received: 16.04.1997 Revised: 14.01.1998
Citation:
A. N. Leznov, “Integrable two-dimensional ultra-Toda mappings and chains”, TMF, 117:1 (1998), 107–122; Theoret. and Math. Phys., 117:1 (1998), 1194–1207
Linking options:
https://www.mathnet.ru/eng/tmf920https://doi.org/10.4213/tmf920 https://www.mathnet.ru/eng/tmf/v117/i1/p107
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Abstract page: | 462 | Full-text PDF : | 209 | References: | 68 | First page: | 1 |
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