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Fundamentalnaya i Prikladnaya Matematika, 2006, Volume 12, Issue 7, Pages 23–33 (Mi fpm1003)  

This article is cited in 4 scientific papers (total in 4 papers)

A conjecture concerning nonlocal terms of recursion operators

H. Baran, M. Marvan

Silesian University in Opava
Full-text PDF (131 kB) Citations (4)
References:
Abstract: We provide examples to extend a recent conjecture concerning relation between zero curvature representations and nonlocal terms of inverse recursion operators to all recursion operators in dimension two. Namely, we conjecture that nonlocal terms of recursion operators are always related to a suitable zero-curvature representation, not necessarily depending on a parameter or taking values in a semisimple algebra. In particular, the conventional pseudodifferential recursion operators correspond to Abelian Lie algebras.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 151, Issue 4, Pages 3083–3090
DOI: https://doi.org/10.1007/s10958-008-9030-6
Bibliographic databases:
UDC: 517.957
Language: Russian
Citation: H. Baran, M. Marvan, “A conjecture concerning nonlocal terms of recursion operators”, Fundam. Prikl. Mat., 12:7 (2006), 23–33; J. Math. Sci., 151:4 (2008), 3083–3090
Citation in format AMSBIB
\Bibitem{BarMar06}
\by H.~Baran, M.~Marvan
\paper A~conjecture concerning nonlocal terms of recursion operators
\jour Fundam. Prikl. Mat.
\yr 2006
\vol 12
\issue 7
\pages 23--33
\mathnet{http://mi.mathnet.ru/fpm1003}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2314007}
\zmath{https://zbmath.org/?q=an:1149.37321}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 151
\issue 4
\pages 3083--3090
\crossref{https://doi.org/10.1007/s10958-008-9030-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-49349088864}
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  • https://www.mathnet.ru/eng/fpm/v12/i7/p23
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Фундаментальная и прикладная математика
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    Abstract page:301
    Full-text PDF :108
    References:64
    First page:1
     
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