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Fundamentalnaya i Prikladnaya Matematika, 2006, Volume 12, Issue 7, Pages 117–128 (Mi fpm1008)  
This article is cited in 4 scientific papers (total in 4 papers)

Recursion operator for the intrinsic generalized sine-Gordon equation

M. Marvan, M. Pobořil

Silesian University in Opava
Full-text PDF (149 kB) Citations (4)
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Abstract: We find the inverse and direct recursion operator for the intrinsic generalized sine-Gordon equation in any number n>2 of independent variables. Among the flows generated by the direct operator we identify a higher-dimensional analogue of the pmKdV equation.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 151, Issue 4, Pages 3151–3158
DOI: https://doi.org/10.1007/s10958-008-9024-4
Bibliographic databases:
UDC: 514.752+517.957
Language: Russian
Citation: M. Marvan, M. Pobořil, “Recursion operator for the intrinsic generalized sine-Gordon equation”, Fundam. Prikl. Mat., 12:7 (2006), 117–128; J. Math. Sci., 151:4 (2008), 3151–3158
Citation in format AMSBIB
\Bibitem{MarPob06}
\by M.~Marvan, M.~Pobo{\v r}il
\paper Recursion operator for the intrinsic generalized sine-Gordon equation
\jour Fundam. Prikl. Mat.
\yr 2006
\vol 12
\issue 7
\pages 117--128
\mathnet{http://mi.mathnet.ru/fpm1008}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2314013}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 151
\issue 4
\pages 3151--3158
\crossref{https://doi.org/10.1007/s10958-008-9024-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-49349083151}
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  • https://www.mathnet.ru/eng/fpm1008
  • https://www.mathnet.ru/eng/fpm/v12/i7/p117
    • This publication is cited in the following 4 articles:
    1. Igonin S., Marvan M., “on Construction of Symmetries and Recursion Operators From Zero-Curvature Representations and the Darboux-Egoroff System”, J. Geom. Phys., 85 (2014), 106–123  crossref  mathscinet  zmath  isi
    2. Morozov O.I., “a Recursion Operator For the Universal Hierarchy Equation Via Cartan'S Method of Equivalence”, Cent. Eur. J. Math., 12:2 (2014), 271–283  crossref  mathscinet  zmath  isi  elib
    3. M Marvan, A Sergyeyev, “Recursion operators for dispersionless integrable systems in any dimension”, Inverse Problems, 28:2 (2012), 025011  crossref
    4. Marvan M., “On the spectral parameter problem”, Acta Appl. Math., 109:1 (2010), 239–255  crossref  mathscinet  zmath  isi  elib
    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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    Full-text PDF :127
    References:51
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