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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 132, Number 1, Pages 74–89
DOI: https://doi.org/10.4213/tmf347 (Mi tmf347) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Discrete Symmetries of the $n$-Wave Problem

A. N. Leznovabc

a Institute for High Energy Physics
b Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics
c Universidad Autónoma del Estado de Hidalgo
Full-text PDF (236 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf347
Abstract: We show that discrete symmetries $T$ of multicomponent integrable systems have a fine structure and can be represented as products of positive integer powers of pairwise commuting basis discrete transformations $T_i$. The calculations are completed for the $n$-wave problem.
Keywords: integrable mappings and chains, discrete transformations, Darboux transformation, higher-dimensional integrable systems.
Received: 25.10.2001
English version:
Theoretical and Mathematical Physics, 2002, Volume 132, Issue 1, Pages 955–969
DOI: https://doi.org/10.1023/A:1019611408726
Bibliographic databases:
Language: Russian
Citation: A. N. Leznov, “Discrete Symmetries of the $n$-Wave Problem”, TMF, 132:1 (2002), 74–89; Theoret. and Math. Phys., 132:1 (2002), 955–969
Citation in format AMSBIB
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\paper Discrete Symmetries of the $n$-Wave Problem
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\pages 74--89
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\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 132
\issue 1
\pages 955--969
\crossref{https://doi.org/10.1023/A:1019611408726}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000177713500004}
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  • https://www.mathnet.ru/eng/tmf/v132/i1/p74
    • This publication is cited in the following 2 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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