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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 124, Number 3, Pages 419–425
DOI: https://doi.org/10.4213/tmf648 (Mi tmf648) 		 
This article is cited in 3 scientific papers (total in 3 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
Full-text PDF (176 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf648
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.
Received: 22.02.2000
English version:
Theoretical and Mathematical Physics, 2000, Volume 124, Issue 3, Pages 1211–1216
DOI: https://doi.org/10.1007/BF02550999
Bibliographic databases:
Language: Russian
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
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\paper Reductions of the Volterra and Toda chains
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\pages 419--425
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\transl
\jour Theoret. and Math. Phys.
\yr 2000
\vol 124
\issue 3
\pages 1211--1216
\crossref{https://doi.org/10.1007/BF02550999}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000090122800005}
Linking options:
  • https://www.mathnet.ru/eng/tmf648
  • https://doi.org/10.4213/tmf648
  • https://www.mathnet.ru/eng/tmf/v124/i3/p419
    • This publication is cited in the following 3 articles:
    1. A K Svinin, “Reductions of integrable lattices”, J. Phys. A: Math. Theor., 41:31 (2008), 315205  crossref
    2. Svinin, AK, “Reductions of the Volterra lattice”, Physics Letters A, 337:3 (2005), 197  crossref  zmath  adsnasa  isi  elib  scopus  scopus
    3. 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
    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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    Full-text PDF :220
    References:73
    First page:1
     
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