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Journal of Mathematical Sciences

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

A new hyperbolic equation possessing a zero-curvature representation

  • M. Pobořil
Article
  • 17 Downloads

Abstract

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 \(\mathfrak{s}\mathfrak{l}_2 \).

Keywords

Normal Form Hyperbolic Equation Nonlinear Hyperbolic Equation Direct Procedure Linear Covering 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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    A. V. Zhiber and V. V. Sokolov, “A new nonlinear hyperbolic equation possessing integrals,” Teor. Mat. Fiz., 120, 20–26 (1999).MathSciNetGoogle Scholar

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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