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Teoreticheskaya i Matematicheskaya Fizika, 1988, Volume 75, Number 2, Pages 170–186 (Mi tmf4771)  

This article is cited in 10 scientific papers (total in 10 papers)

Expansions with respect to squares, symplectic and poisson structures associated with the Sturm–Liouville problem. II

V. A. Arkad'ev, A. K. Pogrebkov, M. K. Polivanov
References:
Abstract: The concept of tangent vector is made more precise to meet the specific nature of the Sturm–Liouville problem, and on this basis a Poisson bracket that is modified compared with the Gardner form by special boundary terms is derived from the Zakharov–Faddeev symplectic form. This bracket is nondegenerate, and in it the variables of the discrete and continuous spectra are separated.
Received: 10.04.1987
English version:
Theoretical and Mathematical Physics, 1988, Volume 75, Issue 2, Pages 448–460
DOI: https://doi.org/10.1007/BF01017483
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Arkad'ev, A. K. Pogrebkov, M. K. Polivanov, “Expansions with respect to squares, symplectic and poisson structures associated with the Sturm–Liouville problem. II”, TMF, 75:2 (1988), 170–186; Theoret. and Math. Phys., 75:2 (1988), 448–460
Citation in format AMSBIB
\Bibitem{ArkPogPol88}
\by V.~A.~Arkad'ev, A.~K.~Pogrebkov, M.~K.~Polivanov
\paper Expansions with respect to squares, symplectic and poisson structures associated with the Sturm--Liouville problem.~II
\jour TMF
\yr 1988
\vol 75
\issue 2
\pages 170--186
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=959123}
\zmath{https://zbmath.org/?q=an:0717.34030|0665.34026}
\transl
\jour Theoret. and Math. Phys.
\yr 1988
\vol 75
\issue 2
\pages 448--460
\crossref{https://doi.org/10.1007/BF01017483}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988U172900002}
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  • https://www.mathnet.ru/eng/tmf4771
  • https://www.mathnet.ru/eng/tmf/v75/i2/p170
    Cycle of papers
    This publication is cited in the following 10 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:509
    Full-text PDF :133
    References:91
    First page:2
     
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