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TMF, 2000, Volume 124, Number 3, Pages 419–425 (Mi tmf648)  

This article is cited in 2 scientific papers (total in 2 papers)

Reductions of the Volterra and Toda chains

A. K. Svinin

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences

Abstract: We consider Volterra and Toda systems. Using certain algebraic relations, we construct a denumerable class of reductions of these differential–difference systems. The result is given by finite-dimensional systems with Bäcklund autotransformations.

DOI: https://doi.org/10.4213/tmf648

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English version:
Theoretical and Mathematical Physics, 2000, 124:3, 1211–1216

Bibliographic databases:

Received: 22.02.2000

Citation: A. K. Svinin, “Reductions of the Volterra and Toda chains”, TMF, 124:3 (2000), 419–425; Theoret. and Math. Phys., 124:3 (2000), 1211–1216

Citation in format AMSBIB
\Bibitem{Svi00}
\by A.~K.~Svinin
\paper Reductions of the Volterra and Toda chains
\jour TMF
\yr 2000
\vol 124
\issue 3
\pages 419--425
\mathnet{http://mi.mathnet.ru/tmf648}
\crossref{https://doi.org/10.4213/tmf648}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1821104}
\zmath{https://zbmath.org/?q=an:1115.37360}
\transl
\jour Theoret. and Math. Phys.
\yr 2000
\vol 124
\issue 3
\pages 1211--1216
\crossref{https://doi.org/10.1007/BF02550999}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000090122800005}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Svinin, AK, “Differential constraints for the Kaup-Broer system as a reduction of the 1D Toda lattice”, Inverse Problems, 17:4 (2001), 1061  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    2. Svinin, AK, “Reductions of the Volterra lattice”, Physics Letters A, 337:3 (2005), 197  crossref  zmath  adsnasa  isi  elib  scopus  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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