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This article is cited in 3 scientific papers (total in 3 papers)
Recursion operator for the intrinsic generalized sine-Gordon equation
M. Marvan, M. Pobořil
Silesian University in Opava
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.
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Journal of Mathematical Sciences (New York), 2008, 151:4, 3151–3158
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UDC:
514.752+517.957
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://www.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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http://mi.mathnet.ru/eng/fpm1008 http://mi.mathnet.ru/eng/fpm/v12/i7/p117
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This publication is cited in the following articles:
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Marvan M., “On the spectral parameter problem”, Acta Appl. Math., 109:1 (2010), 239–255
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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
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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
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