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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 117, Number 1, Pages 107–122
DOI: https://doi.org/10.4213/tmf920 (Mi tmf920) 		 
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
Full-text PDF (246 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf920
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
English version:
Theoretical and Mathematical Physics, 1998, Volume 117, Issue 1, Pages 1194–1207
DOI: https://doi.org/10.1007/BF02557160
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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\paper Integrable two-dimensional ultra-Toda mappings and chains
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\pages 107--122
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\transl
\jour Theoret. and Math. Phys.
\yr 1998
\vol 117
\issue 1
\pages 1194--1207
\crossref{https://doi.org/10.1007/BF02557160}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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