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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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\zmath{https://zbmath.org/?q=an:0980.37019}
\transl
\jour Theoret. and Math. Phys.
\yr 1998
\vol 117
\issue 1
\pages 1194--1207
\crossref{https://doi.org/10.1007/BF02557160}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000078621000003}
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  • https://www.mathnet.ru/eng/tmf920
  • https://doi.org/10.4213/tmf920
  • https://www.mathnet.ru/eng/tmf/v117/i1/p107
    • This publication is cited in the following 5 articles:
    1. Ketov, SV, “Instanton-induced scalar potential for the universal hypermultiplet”, Nuclear Physics B, 656:1–2 (2003), 63  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    2. A. N. Leznov, “Discrete Symmetries of the n-Wave Problem”, Theoret. and Math. Phys., 132:1 (2002), 955–969  mathnet  crossref  crossref  mathscinet  zmath  isi
    3. Ketov, SV, “Universal hypermultiplet metrics”, Nuclear Physics B, 604:1–2 (2001), 256  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    4. Ketov, SV, “Gravitational dressing of D-instantons”, Physics Letters B, 504:3 (2001), 262  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    5. A. N. Leznov, “Graded Lie algebras, representation theory, integrable mappings, and integrable systems”, Theoret. and Math. Phys., 122:2 (2000), 211–228  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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