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Fundamentalnaya i Prikladnaya Matematika, 2004, Volume 10, Issue 1, Pages 239–241 (Mi fpm760)  
A new hyperbolic equation possessing a zero-curvature representation

M. Pobořil

Silesian University in Opava
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Abstract: Using a direct procedure to compute a zero-curvature representation (ZCR) we find a previously unknown hyperbolic equation which possesses an $\mathfrak{sl}_2$-valued ZCR. This ZCR admits no parameter and is not reducible to a proper subalgebra of $\mathfrak{sl}_2$.
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 136, Issue 6, Pages 4484–4485
DOI: https://doi.org/10.1007/s10958-006-0240-5
Bibliographic databases:
UDC: 517.95+514.763.85
Language: Russian
Citation: M. Pobořil, “A new hyperbolic equation possessing a zero-curvature representation”, Fundam. Prikl. Mat., 10:1 (2004), 239–241; J. Math. Sci., 136:6 (2006), 4484–4485
Citation in format AMSBIB
\Bibitem{Pob04}
\by M.~Pobo{\v r}il
\paper A~new hyperbolic equation possessing a~zero-curvature representation
\jour Fundam. Prikl. Mat.
\yr 2004
\vol 10
\issue 1
\pages 239--241
\mathnet{http://mi.mathnet.ru/fpm760}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2120157}
\zmath{https://zbmath.org/?q=an:1077.35100}
\transl
\jour J. Math. Sci.
\yr 2006
\vol 136
\issue 6
\pages 4484--4485
\crossref{https://doi.org/10.1007/s10958-006-0240-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33745671919}
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