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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 115, Number 3, Pages 349–357
DOI: https://doi.org/10.4213/tmf878 (Mi tmf878) 		 
This article is cited in 5 scientific papers (total in 5 papers)

First integrals of generalized Toda chains

V. E. Adlera, A. B. Shabatb

a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Full-text PDF (198 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf878
Abstract: We construct a zero-curvature representation for generalized Toda chains. Evaluating the first integrals amounts to multiplying the matrices that depend linearly on the fields and satisfy a given multiplication table.
Received: 26.02.1998
English version:
Theoretical and Mathematical Physics, 1998, Volume 115, Issue 3, Pages 639–646
DOI: https://doi.org/10.1007/BF02575487
Bibliographic databases:
Language: Russian
Citation: V. E. Adler, A. B. Shabat, “First integrals of generalized Toda chains”, TMF, 115:3 (1998), 349–357; Theoret. and Math. Phys., 115:3 (1998), 639–646
Citation in format AMSBIB
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\paper First integrals of generalized Toda chains
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\pages 349--357
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\jour Theoret. and Math. Phys.
\yr 1998
\vol 115
\issue 3
\pages 639--646
\crossref{https://doi.org/10.1007/BF02575487}
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Linking options:
  • https://www.mathnet.ru/eng/tmf878
  • https://doi.org/10.4213/tmf878
  • https://www.mathnet.ru/eng/tmf/v115/i3/p349
    • This publication is cited in the following 5 articles:
    1. Vsevolod E. Adler, Alexey B. Shabat, “On the One Class of Hyperbolic Systems”, SIGMA, 2 (2006), 093, 17 pp.  mathnet  crossref  mathscinet  zmath
    2. Yamilov, R, “Symmetries as integrability criteria for differential difference equations”, Journal of Physics A-Mathematical and General, 39:45 (2006), R541  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    3. V. E. Adler, A. B. Shabat, R. I. Yamilov, “Symmetry approach to the integrability problem”, Theoret. and Math. Phys., 125:3 (2000), 1603–1661  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    4. Adler, VE, “On the structure of the Backlund transformations for the relativistic lattices”, Journal of Nonlinear Mathematical Physics, 7:1 (2000), 34  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    5. V. G. Marikhin, A. B. Shabat, “Integrable lattices”, Theoret. and Math. Phys., 118:2 (1999), 173–182  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    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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    References:105
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