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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 89, Number 3, Pages 323–336 (Mi tmf5899)  
This article is cited in 5 scientific papers (total in 5 papers)

Lie-algebraic approach to nonlocal symmetries of integrable systems

V. E. Adler
Full-text PDF (1437 kB) Citations (5)
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Abstract: A recursion operator is derived for a large class of equations that can be integrated by the inverse scattering method. For the obtained hierarchies of integrable equations a method is proposed for constructing an algebra of nonlocal symmetries. The complete set of dynamical variables corresponding to them is found. It is shown that all the nonlocal variables are the integrals of the densities of conservation laws. The structure of the obtained systems is illustrated by the example of the Zakharov–Shabat (AKNS) hierarchy.
Received: 19.04.1991
English version:
Theoretical and Mathematical Physics, 1991, Volume 89, Issue 3, Pages 1239–1248
DOI: https://doi.org/10.1007/BF01017819
Bibliographic databases:
Language: Russian
Citation: V. E. Adler, “Lie-algebraic approach to nonlocal symmetries of integrable systems”, TMF, 89:3 (1991), 323–336; Theoret. and Math. Phys., 89:3 (1991), 1239–1248
Citation in format AMSBIB
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\by V.~E.~Adler
\paper Lie-algebraic approach to nonlocal symmetries of integrable systems
\jour TMF
\yr 1991
\vol 89
\issue 3
\pages 323--336
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1146419}
\zmath{https://zbmath.org/?q=an:0766.35055}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 89
\issue 3
\pages 1239--1248
\crossref{https://doi.org/10.1007/BF01017819}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991JA04100001}
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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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    Abstract page:300
    Full-text PDF :158
    References:45
    First page:1
     
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