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TMF, 1986, Volume 66, Number 1, Pages 90–101 (Mi tmf4596)  

Bäcklund transformations for superextensions of the Liouville equation

E. A. Ivanov, S. O. Krivonos


Abstract: A general technique is described for constructing Bäcklund transformations for the Liouville equation and its superextensions in the framework of a method based on nonlinear realizations of infinite-dimensional symmetries. Superfield Bäcklund transformations are found for the $N=2$ and $N=4$ supersymmetric Liouville equations together with the Bäcklund transformations to the solutions of the corresponding free equations. The geometrical meaning of these transformations is established.

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English version:
Theoretical and Mathematical Physics, 1986, 66:1, 60–68

Bibliographic databases:

Received: 02.01.1985

Citation: E. A. Ivanov, S. O. Krivonos, “Bäcklund transformations for superextensions of the Liouville equation”, TMF, 66:1 (1986), 90–101; Theoret. and Math. Phys., 66:1 (1986), 60–68

Citation in format AMSBIB
\Bibitem{IvaKri86}
\by E.~A.~Ivanov, S.~O.~Krivonos
\paper B\"acklund transformations for superextensions of the Liouville equation
\jour TMF
\yr 1986
\vol 66
\issue 1
\pages 90--101
\mathnet{http://mi.mathnet.ru/tmf4596}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=831419}
\zmath{https://zbmath.org/?q=an:0664.35068}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 66
\issue 1
\pages 60--68
\crossref{https://doi.org/10.1007/BF01028939}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1986D593000007}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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