Journal of Mathematical Sciences

, Volume 136, Issue 6, pp 4484–4485 | Cite as

A new hyperbolic equation possessing a zero-curvature representation

  • M. Pobořil


Using a direct procedure of calculation of zero-curvature representations (ZCR), we find a previously unknown hyperbolic equation which possesses an \(\mathfrak{s}\mathfrak{l}_2 \)-valued ZCR. This ZCR admits no parameters and is not reducible to a proper subalgebra of \(\mathfrak{s}\mathfrak{l}_2 \).


Normal Form Hyperbolic Equation Nonlinear Hyperbolic Equation Direct Procedure Linear Covering 
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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • M. Pobořil
    • 1
  1. 1.Mathematical InstituteSilesian University in OpavaOpavaCzech Republic

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